Berry, Michael Time-independent, paraxial and time-dependent Madelung trajectories near zeros. (English) Zbl 07789623 J. Phys. A, Math. Theor. 57, No. 2, Article ID 025201, 11 p. (2024). MSC: 81-XX 35-XX PDFBibTeX XMLCite \textit{M. Berry}, J. Phys. A, Math. Theor. 57, No. 2, Article ID 025201, 11 p. (2024; Zbl 07789623) Full Text: DOI OA License
Berry, M. V.; Shukla, Pragya Quantum curl forces. (English) Zbl 07786686 J. Phys. A, Math. Theor. 56, No. 48, Article ID 485206, 24 p. (2023). MSC: 81V80 81R10 76B10 37C50 70B05 51A50 81Q70 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{P. Shukla}, J. Phys. A, Math. Theor. 56, No. 48, Article ID 485206, 24 p. (2023; Zbl 07786686) Full Text: DOI OA License
Berry, M. V. Quantum carpets in leaky boxes. (English) Zbl 1511.35302 Eur. J. Phys. 43, No. 5, Article ID 055403, 17 p. (2022). MSC: 35Q41 81V80 81V05 35B36 35J05 78A40 PDFBibTeX XMLCite \textit{M. V. Berry}, Eur. J. Phys. 43, No. 5, Article ID 055403, 17 p. (2022; Zbl 1511.35302) Full Text: DOI
Berry, M. V.; Liu, Wei No general relation between phase vortices and orbital angular momentum. (English) Zbl 1514.78006 J. Phys. A, Math. Theor. 55, No. 37, Article ID 374001, 9 p. (2022). MSC: 78A40 81Q70 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{W. Liu}, J. Phys. A, Math. Theor. 55, No. 37, Article ID 374001, 9 p. (2022; Zbl 1514.78006) Full Text: DOI
Berry, M. V.; Shukla, Pragya Uncertainty inequalities for superoscillations. (English) Zbl 1506.35184 J. Phys. A, Math. Theor. 55, No. 22, Article ID 224003, 14 p. (2022). MSC: 35Q41 81Q05 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{P. Shukla}, J. Phys. A, Math. Theor. 55, No. 22, Article ID 224003, 14 p. (2022; Zbl 1506.35184) Full Text: DOI
Berry, M. V. Superoscillations and the quantum potential. (English) Zbl 1523.81087 Eur. J. Phys. 42, No. 1, Article ID 015401, 11 p. (2021). MSC: 81Q70 35C07 PDFBibTeX XMLCite \textit{M. V. Berry}, Eur. J. Phys. 42, No. 1, Article ID 015401, 11 p. (2021; Zbl 1523.81087) Full Text: DOI
Berry, M. V. Classical and quantum complex Hamiltonian curl forces. (English) Zbl 1519.81259 J. Phys. A, Math. Theor. 53, No. 41, Article ID 415201, 21 p. (2020). MSC: 81Q80 81S08 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Theor. 53, No. 41, Article ID 415201, 21 p. (2020; Zbl 1519.81259) Full Text: DOI
Berry, M. V.; Shukla, Pragya Quantum metric statistics for random-matrix families. (English) Zbl 1519.81046 J. Phys. A, Math. Theor. 53, No. 27, Article ID 275202, 20 p. (2020). MSC: 81P16 15B52 60B20 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{P. Shukla}, J. Phys. A, Math. Theor. 53, No. 27, Article ID 275202, 20 p. (2020; Zbl 1519.81046) Full Text: DOI
Berry, M. V.; Burke, Kieron Exact and approximate energy sums in potential wells. (English) Zbl 1514.81124 J. Phys. A, Math. Theor. 53, No. 9, Article ID 095203, 20 p. (2020). MSC: 81Q20 81Q05 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{K. Burke}, J. Phys. A, Math. Theor. 53, No. 9, Article ID 095203, 20 p. (2020; Zbl 1514.81124) Full Text: DOI
Berry, M. V.; Burke, Kieron Semiclassical quantization of truncated potentials. (English) Zbl 07670080 Eur. J. Phys. 40, No. 6, Article ID 065403, 13 p. (2019). MSC: 81-XX 35-XX PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{K. Burke}, Eur. J. Phys. 40, No. 6, Article ID 065403, 13 p. (2019; Zbl 07670080) Full Text: DOI
Berry, M. V.; Shukla, Pragya Geometric phase curvature for random states. (English) Zbl 1411.82034 J. Phys. A, Math. Theor. 51, No. 47, Article ID 475101, 13 p. (2018). MSC: 82C70 81Q10 81Q70 58D20 15B52 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{P. Shukla}, J. Phys. A, Math. Theor. 51, No. 47, Article ID 475101, 13 p. (2018; Zbl 1411.82034) Full Text: DOI Link
Berry, M. V. Gauge-invariant Aharonov-Bohm streamlines. (English) Zbl 1386.81065 J. Phys. A, Math. Theor. 50, No. 43, Article ID 43LT01, 9 p. (2017). MSC: 81Q05 81P20 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Theor. 50, No. 43, Article ID 43LT01, 9 p. (2017; Zbl 1386.81065) Full Text: DOI
Berry, Michael A half-century of physical asymptotics and other diversions. Selected works by Michael Berry. (English) Zbl 1369.01038 Hackensack, NJ: World Scientific (ISBN 978-981-3221-19-2/hbk; 978-981-3221-22-2/ebook). xiii, 707 p. (2017). MSC: 01A75 00A79 78-03 81-03 PDFBibTeX XMLCite \textit{M. Berry}, A half-century of physical asymptotics and other diversions. Selected works by Michael Berry. Hackensack, NJ: World Scientific (2017; Zbl 1369.01038) Full Text: DOI
Berry, M. V. Suppression of superoscillations by noise. (English) Zbl 1357.81171 J. Phys. A, Math. Theor. 50, No. 2, Article ID 025003, 9 p. (2017). MSC: 81V80 42A10 81V22 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Theor. 50, No. 2, Article ID 025003, 9 p. (2017; Zbl 1357.81171) Full Text: DOI
Berry, M. V. Forward-smooth high-order uniform Aharonov-Bohm asymptotics. (English) Zbl 1346.81122 J. Phys. A, Math. Theor. 49, No. 30, Article ID 305204, 16 p. (2016). MSC: 81U05 81Q70 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Theor. 49, No. 30, Article ID 305204, 16 p. (2016; Zbl 1346.81122) Full Text: DOI
Berry, M. V.; Moiseyev, N. Superoscillations and supershifts in phase space: Wigner and Husimi function interpretations. (English) Zbl 1295.42001 J. Phys. A, Math. Theor. 47, No. 31, Article ID 315203, 14 p. (2014). MSC: 42A38 81P15 81R30 81V80 81S30 22E45 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{N. Moiseyev}, J. Phys. A, Math. Theor. 47, No. 31, Article ID 315203, 14 p. (2014; Zbl 1295.42001) Full Text: DOI Link
Berry, M. V. Superoscillations, endfire and supergain. (English) Zbl 1282.81069 Struppa, Daniele C. (ed.) et al., Quantum theory: a two-time success story. Yakir Aharonov Festschrift in honor of Yakir Aharonov’s 80th birthday. Milano: Springer (ISBN 978-88-470-5216-1/hbk; 978-88-470-5217-8/ebook). 327-336 (2014). MSC: 81Q05 PDFBibTeX XMLCite \textit{M. V. Berry}, in: Quantum theory: a two-time success story. Yakir Aharonov Festschrift in honor of Yakir Aharonov's 80th birthday. Milano: Springer. 327--336 (2014; Zbl 1282.81069) Full Text: DOI
Berry, M. V.; Shukla, Pragya Hearing random matrices and random waves. (English) Zbl 1451.81245 New J. Phys. 15, No. 1, Article ID 013026, 11 p. (2013). MSC: 81Q50 15B52 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{P. Shukla}, New J. Phys. 15, No. 1, Article ID 013026, 11 p. (2013; Zbl 1451.81245) Full Text: DOI
Berry, M. V. Five momenta. (English) Zbl 1292.81035 Eur. J. Phys. 34, No. 6, 1337-1348 (2013). MSC: 81Q05 PDFBibTeX XMLCite \textit{M. V. Berry}, Eur. J. Phys. 34, No. 6, 1337--1348 (2013; Zbl 1292.81035) Full Text: DOI Link
Berry, M. V. Causal wave propagation for relativistic massive particles: physical asymptotics in action. (English) Zbl 1266.81057 Eur. J. Phys. 33, No. 2, 279-294 (2012). MSC: 81Q05 81V15 83A05 70H40 PDFBibTeX XMLCite \textit{M. V. Berry}, Eur. J. Phys. 33, No. 2, 279--294 (2012; Zbl 1266.81057) Full Text: DOI Link
Berry, M. V. Superluminal speeds for relativistic random waves. (English) Zbl 1247.81110 J. Phys. A, Math. Theor. 45, No. 18, Article ID 185308, 14 p. (2012). MSC: 81Q05 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Theor. 45, No. 18, Article ID 185308, 14 p. (2012; Zbl 1247.81110) Full Text: DOI Link
Berry, M. V.; Shukla, Pragya Pointer supershifts and superoscillations in weak measurements. (English) Zbl 1247.81020 J. Phys. A, Math. Theor. 45, No. 1, Article ID 015301, 14 p. (2012). Reviewer: Stefan Berceanu (Bucureşti) MSC: 81P15 42A16 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{P. Shukla}, J. Phys. A, Math. Theor. 45, No. 1, Article ID 015301, 14 p. (2012; Zbl 1247.81020) Full Text: DOI Link
Berry, M. V.; Brunner, N.; Popescu, S.; Shukla, P. Can apparent superluminal neutrino speeds be explained as a quantum weak measurement? (English) Zbl 1236.81016 J. Phys. A, Math. Theor. 44, No. 49, Article ID 492001, 5 p. (2011). MSC: 81P15 81V15 PDFBibTeX XMLCite \textit{M. V. Berry} et al., J. Phys. A, Math. Theor. 44, No. 49, Article ID 492001, 5 p. (2011; Zbl 1236.81016) Full Text: DOI arXiv
Berry, M. V.; Uzdin, R. Slow non-Hermitian cycling: exact solutions and the Stokes phenomenon. (English) Zbl 1270.81092 J. Phys. A, Math. Theor. 44, No. 43, Article ID 435303, 26 p. (2011). MSC: 81Q12 81Q05 33C10 81Q70 70H11 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{R. Uzdin}, J. Phys. A, Math. Theor. 44, No. 43, Article ID 435303, 26 p. (2011; Zbl 1270.81092) Full Text: DOI Link
Berry, M. V.; Keating, J. P. A compact Hamiltonian with the same asymptotic mean spectral density as the Riemann zeros. (English) Zbl 1222.81172 J. Phys. A, Math. Theor. 44, No. 28, Article ID 285203, 14 p. (2011). MSC: 81Q10 81Q05 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{J. P. Keating}, J. Phys. A, Math. Theor. 44, No. 28, Article ID 285203, 14 p. (2011; Zbl 1222.81172) Full Text: DOI Link
Berry, M. V.; Dennis, M. R.; McRoberts, B.; Shukla, P. Weak value distributions for spin 1/2. (English) Zbl 1216.81021 J. Phys. A, Math. Theor. 44, No. 20, Article ID 205301, 8 p. (2011). MSC: 81P15 PDFBibTeX XMLCite \textit{M. V. Berry} et al., J. Phys. A, Math. Theor. 44, No. 20, Article ID 205301, 8 p. (2011; Zbl 1216.81021) Full Text: DOI Link
Berry, M. V. Quantum backflow, negative kinetic energy, and optical retro-propagation. (English) Zbl 1200.81047 J. Phys. A, Math. Theor. 43, No. 41, Article ID 415302, 15 p. (2010). MSC: 81Q05 81V80 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Theor. 43, No. 41, Article ID 415302, 15 p. (2010; Zbl 1200.81047) Full Text: DOI Link
Berry, M. V.; Shukla, P. Typical weak and superweak values. (English) Zbl 1196.81093 J. Phys. A, Math. Theor. 43, No. 35, Article ID 354024, 9 p. (2010). MSC: 81P68 81P15 68M07 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{P. Shukla}, J. Phys. A, Math. Theor. 43, No. 35, Article ID 354024, 9 p. (2010; Zbl 1196.81093) Full Text: DOI Link
Berry, M. V.; Popescu, S. Semifluxon degeneracy choreography in Aharonov-Bohm billiards. (English) Zbl 1196.81099 J. Phys. A, Math. Theor. 43, No. 35, Article ID 354005, 11 p. (2010). MSC: 81Q05 81Q70 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{S. Popescu}, J. Phys. A, Math. Theor. 43, No. 35, Article ID 354005, 11 p. (2010; Zbl 1196.81099) Full Text: DOI arXiv
Berry, M. V. Asymptotics of the many-whirls representation for Aharonov-Bohm scattering. (English) Zbl 1196.81221 J. Phys. A, Math. Theor. 43, No. 35, Article ID 354002, 9 p. (2010). MSC: 81U05 81Q05 81Q70 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Theor. 43, No. 35, Article ID 354002, 9 p. (2010; Zbl 1196.81221) Full Text: DOI
Berry, M. V.; Shukla, P. High-order classical adiabatic reaction forces: slow manifold for a spin model. (English) Zbl 1230.37104 J. Phys. A, Math. Theor. 43, No. 4, Article ID 045102, 27 p. (2010). MSC: 37N20 81Q20 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{P. Shukla}, J. Phys. A, Math. Theor. 43, No. 4, Article ID 045102, 27 p. (2010; Zbl 1230.37104) Full Text: DOI Link
Berry, M. V. Transitionless quantum driving. (English) Zbl 1178.81055 J. Phys. A, Math. Theor. 42, No. 36, Article ID 365303, 9 p. (2009). MSC: 81Q05 85A25 81V45 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Theor. 42, No. 36, Article ID 365303, 9 p. (2009; Zbl 1178.81055) Full Text: DOI Link
Berry, M. V. Hermitian boundary conditions at a Dirichlet singularity: The Marletta–Rozenblum model. (English) Zbl 1162.81018 J. Phys. A, Math. Theor. 42, No. 16, Article ID 165208, 13 p. (2009). MSC: 81Q10 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Theor. 42, No. 16, Article ID 165208, 13 p. (2009; Zbl 1162.81018) Full Text: DOI Link
Berry, M. V.; Dennis, M. R. Natural superoscillations in monochromatic waves in \(D\) dimensions. (English) Zbl 1161.35472 J. Phys. A, Math. Theor. 42, No. 2, Article ID 022003, 8 p. (2009). MSC: 35Q40 81Q05 35J05 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{M. R. Dennis}, J. Phys. A, Math. Theor. 42, No. 2, Article ID 022003, 8 p. (2009; Zbl 1161.35472) Full Text: DOI
Berry, M. V. Optical lattices with PT symmetry are not transparent. (English) Zbl 1140.81471 J. Phys. A, Math. Theor. 41, No. 24, Article ID 244007, 7 p. (2008). MSC: 81V80 81P68 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Theor. 41, No. 24, Article ID 244007, 7 p. (2008; Zbl 1140.81471) Full Text: DOI Link
Berry, M. V.; Dennis, M. R. Boundary-condition-varying circle billiards and gratings: the Dirichlet singularity. (English) Zbl 1139.81033 J. Phys. A, Math. Theor. 41, No. 13, Article ID 135203, 23 p. (2008). MSC: 81Q10 81Q05 35J05 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{M. R. Dennis}, J. Phys. A, Math. Theor. 41, No. 13, Article ID 135203, 23 p. (2008; Zbl 1139.81033) Full Text: DOI Link
Berry, M. V. Three quantum obsessions. (English) Zbl 1192.81164 Nonlinearity 21, No. 2, T19-T26 (2008). Reviewer: Dubi Kelmer (Chicago) MSC: 81Q50 81Q70 81-02 11Z05 11M26 81V80 81S05 81V70 PDFBibTeX XMLCite \textit{M. V. Berry}, Nonlinearity 21, No. 2, T19--T26 (2008; Zbl 1192.81164) Full Text: DOI
Berry, M. V.; Dennis, M. R. Topological events on wave dislocation lines: birth and death of loops, and reconnection. (English) Zbl 1110.81166 J. Phys. A, Math. Theor. 40, No. 1, 65-74 (2007). MSC: 81V80 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{M. R. Dennis}, J. Phys. A, Math. Theor. 40, No. 1, 65--74 (2007; Zbl 1110.81166) Full Text: DOI Link
Berry, M. V.; Popescu, S. Evolution of quantum superoscillations and optical superresolution without evanescent waves. (English) Zbl 1122.81029 J. Phys. A, Math. Gen. 39, No. 22, 6965-6977 (2006). MSC: 81Q05 35Q40 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{S. Popescu}, J. Phys. A, Math. Gen. 39, No. 22, 6965--6977 (2006; Zbl 1122.81029) Full Text: DOI Link
Berry, M. V. Phase vortex spirals. (English) Zbl 1284.58008 J. Phys. A, Math. Gen. 38, No. 45, L745-L751 (2005). MSC: 58E50 76B99 81Q70 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Gen. 38, No. 45, L745--L751 (2005; Zbl 1284.58008) Full Text: DOI
Ahmed, Zafar; Bender, Carl M.; Berry, M. V. Reflectionless potentials and \({\mathcal{PT}}\) symmetry. (English) Zbl 1081.81108 J. Phys. A, Math. Gen. 38, No. 39, L627-L630 (2005). MSC: 81U05 81Q10 34L40 34L25 PDFBibTeX XMLCite \textit{Z. Ahmed} et al., J. Phys. A, Math. Gen. 38, No. 39, L627--L630 (2005; Zbl 1081.81108) Full Text: DOI arXiv
Berry, M. V.; Ishio, H. Nodal-line densities of chaotic quantum billiard modes satisfying mixed boundary conditions. (English) Zbl 1072.81021 J. Phys. A, Math. Gen. 38, No. 29, L513-L518 (2005). MSC: 81Q50 35L05 37D50 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{H. Ishio}, J. Phys. A, Math. Gen. 38, No. 29, L513--L518 (2005; Zbl 1072.81021) Full Text: DOI
Bender, Carl M.; Berry, M. V.; Mandilara, Aikaterini Generalized \(PT\) symmetry and real spectra. (English) Zbl 1066.81537 J. Phys. A, Math. Gen. 35, No. 31, L467-L471 (2002). MSC: 81Q10 81U15 PDFBibTeX XMLCite \textit{C. M. Bender} et al., J. Phys. A, Math. Gen. 35, No. 31, L467--L471 (2002; Zbl 1066.81537) Full Text: DOI
Berry, M. V.; Ishio, H. Nodal densities of Gaussian random waves satisfying mixed boundary conditions. (English) Zbl 1066.81013 J. Phys. A, Math. Gen. 35, No. 29, 5961-5972 (2002). MSC: 81Q50 35J05 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{H. Ishio}, J. Phys. A, Math. Gen. 35, No. 29, 5961--5972 (2002; Zbl 1066.81013) Full Text: DOI
Berry, M. V. Statistics of nodal lines and points in chaotic quantum billiards: perimeter corrections, fluctuations, curvature. (English) Zbl 1044.81047 J. Phys. A, Math. Gen. 35, No. 13, 3025-3038 (2002). MSC: 81Q50 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Gen. 35, No. 13, 3025--3038 (2002; Zbl 1044.81047) Full Text: DOI Link
Berry, M. V.; Keating, Jonathan P. Clusters of near-degenerate levels dominate negative moments of spectral determinants. (English) Zbl 1012.81015 J. Phys. A, Math. Gen. 35, No. 1, L1-L6 (2002). MSC: 81Q50 82B41 58J50 11M06 11Z05 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{J. P. Keating}, J. Phys. A, Math. Gen. 35, No. 1, L1--L6 (2002; Zbl 1012.81015) Full Text: DOI
Berry, Michael Indistinguishable spinning particles. (English) Zbl 1098.81801 Grigoryan, A. (ed.) et al., XIIIth international congress on mathematical physics. Proceedings of the ICMP 2000, Imperial College, London, Great Britain, July 17–22, 2000. Boston, MA: International Press (ISBN 1-57146-085-3). 29-30 (2001). MSC: 81S05 81Q70 81R99 PDFBibTeX XMLCite \textit{M. Berry}, in: XIIIth international congress on mathematical physics. Proceedings of the ICMP 2000, Imperial College, London, Great Britain, July 17--22, 2000. Boston, MA: International Press. 29--30 (2001; Zbl 1098.81801)
Berry, M. V.; Dennis, M. R. Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in \(2+1\) spacetime. (English) Zbl 0997.35097 J. Phys. A, Math. Gen. 34, No. 42, 8877-8888 (2001). MSC: 35Q60 35J05 78A60 81Q70 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{M. R. Dennis}, J. Phys. A, Math. Gen. 34, No. 42, 8877--8888 (2001; Zbl 0997.35097) Full Text: DOI
Bender, Carl M.; Berry, Michael; Meisinger, Peter N.; Savage, Van M.; Simsek, Mehmet Complex WKB analysis of energy-level degeneracies of non-Hermitian Hamiltonians. (English) Zbl 1034.81018 J. Phys. A, Math. Gen. 34, No. 6, L31-L36 (2001). MSC: 81Q20 81Q10 PDFBibTeX XMLCite \textit{C. M. Bender} et al., J. Phys. A, Math. Gen. 34, No. 6, L31--L36 (2001; Zbl 1034.81018) Full Text: DOI Link
Berry, M. V. Spectral twinkling. (English) Zbl 1019.81019 Casati, G. (ed.) et al., New directions in quantum chaos. Proceedings of course CXLIII (143) of the international school, Villa Monastero, Varenna on Lake Como, Italy, July 20-30, 1999. Amsterdam: IOS Press. 45-63 (2000). MSC: 81Q50 81Q10 37J20 15B52 PDFBibTeX XMLCite \textit{M. V. Berry}, in: New directions in quantum chaos. Proceedings of course CXLIII (143) of the international school, Villa Monastero, Varenna on Lake Como, Italy, July 20--30, 1999. Nuove prospettive nel caos quantico. Rendiconti della scuola internazionale di fisica, CXLIII corso. Amsterdam: IOS Press; Tokyo: Ohmsha. 45--63 (2000; Zbl 1019.81019)
Berry, M. V.; Keating, Jonathan P.; Schomerus, H. Universal twinkling exponents for spectral fluctuations associated with mixed chaology. (English) Zbl 0967.81025 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 456, No. 1999, 1659-1668 (2000). MSC: 81Q50 PDFBibTeX XMLCite \textit{M. V. Berry} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 456, No. 1999, 1659--1668 (2000; Zbl 0967.81025) Full Text: DOI Link
Berry, M. V.; Dennis, M. R. Phase singularities in isotropic random waves. (English) Zbl 0978.35072 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 456, No. 2001, 2059-2079 (2000). MSC: 35Q60 78A40 81Q70 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{M. R. Dennis}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 456, No. 2001, 2059--2079 (2000; Zbl 0978.35072) Full Text: DOI Link
Berry, M. V.; Robbins, J. M. Quantum indistinguishability: Alternative constructions of the transported basis. (English) Zbl 1010.81040 J. Phys. A, Math. Gen. 33, No. 24, L207-L214 (2000). MSC: 81S05 46N50 81P05 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{J. M. Robbins}, J. Phys. A, Math. Gen. 33, No. 24, L207--L214 (2000; Zbl 1010.81040) Full Text: DOI Link
Berry, M. V.; Shelankov, A. The Aharonov-Bohm wave and the Cornu spiral. (English) Zbl 0966.81023 J. Phys. A, Math. Gen. 32, No. 42, L447-L455 (1999). MSC: 81Q70 81V10 81-04 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{A. Shelankov}, J. Phys. A, Math. Gen. 32, No. 42, L447--L455 (1999; Zbl 0966.81023) Full Text: DOI Link
Berry, M. V. Aharonov-Bohm beam deflection: Shelankov’s formula, exact solution, asymptotics and an optical analogue. (English) Zbl 0953.81022 J. Phys. A, Math. Gen. 32, No. 30, 5627-5641 (1999). MSC: 81Q70 78A60 81V80 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Gen. 32, No. 30, 5627--5641 (1999; Zbl 0953.81022) Full Text: DOI Link
Berry, M. V. A theta-like sum from diffraction physics. (English) Zbl 0946.81036 J. Phys. A, Math. Gen. 32, No. 28, L329-L336 (1999). MSC: 81Q99 11Z05 33E99 35Q40 82D25 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Gen. 32, No. 28, L329--L336 (1999; Zbl 0946.81036) Full Text: DOI Link
Berry, M. V.; Keating, Jonathan P. The Riemann zeros and eigenvalue asymptotics. (English) Zbl 0928.11036 SIAM Rev. 41, No. 2, 236-266 (1999). Reviewer: E.Elizalde (Barcelona) MSC: 11M26 11M06 35P20 81Q50 81U99 37K99 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{J. P. Keating}, SIAM Rev. 41, No. 2, 236--266 (1999; Zbl 0928.11036) Full Text: DOI
Berry, M. V.; Keating, Jonathan P.; Prado, S. D. Orbit bifurcations and spectral statistics. (English) Zbl 1001.81519 J. Phys. A, Math. Gen. 31, No. 13, L245-L254 (1998). MSC: 81Q50 81Q20 PDFBibTeX XMLCite \textit{M. V. Berry} et al., J. Phys. A, Math. Gen. 31, No. 13, L245--L254 (1998; Zbl 1001.81519) Full Text: DOI Link
Berry, M. V. Lop-sided diffraction by absorbing crystals. (English) Zbl 0932.81036 J. Phys. A, Math. Gen. 31, No. 15, 3493-3502 (1998). MSC: 81V80 78A99 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Gen. 31, No. 15, 3493--3502 (1998; Zbl 0932.81036) Full Text: DOI Link
Berry, M. V. Quantum and optical arithmetic and fractals. (English) Zbl 1058.81546 Drouffe, J. M. (ed.) et al., The mathematical beauty of physics: A memorial volume for Claude Itzykson. Conference, Saclay, France, June 5–7, 1996. Singapore: World Scientific (ISBN 981-02-2807-4). Adv. Ser. Math. Phys. 24, 281-294 (1997). Reviewer: Jens Marklof (MR1490859) MSC: 81Q99 11Z05 42A16 PDFBibTeX XMLCite \textit{M. V. Berry}, Adv. Ser. Math. Phys. 24, 281--294 (1997; Zbl 1058.81546)
Berry, M. V. Aharonov-Bohm geometric phases for rotated rotators. (English) Zbl 0932.81011 J. Phys. A, Math. Gen. 30, No. 23, 8355-8362 (1997). MSC: 81Q70 81Q20 81Q05 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Gen. 30, No. 23, 8355--8362 (1997; Zbl 0932.81011) Full Text: DOI Link
Berry, M. V.; Sinclair, E. C. Geometric magnetism in massive chaotic billiards. (English) Zbl 0916.58023 J. Phys. A, Math. Gen. 30, No. 8, 2853-2861 (1997). MSC: 37D45 37A99 81Q20 81Q50 82B05 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{E. C. Sinclair}, J. Phys. A, Math. Gen. 30, No. 8, 2853--2861 (1997; Zbl 0916.58023) Full Text: DOI Link
Berry, M. V.; Robbins, J. M. Indistinguishability for quantum particles: Spin, statistics and the geometric phase. (English) Zbl 0892.46084 Proc. R. Soc. Lond., Ser. A 453, No. 1963, 1771-1790 (1997). Reviewer: G.Roepstorff (Aachen) MSC: 46N50 81P05 81R05 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{J. M. Robbins}, Proc. R. Soc. Lond., Ser. A 453, No. 1963, 1771--1790 (1997; Zbl 0892.46084) Full Text: DOI
Berry, M. V.; Klein, S. Geometric phases from stacks of crystal plates. (English) Zbl 0941.78511 J. Mod. Opt. 43, No. 1, 165-180 (1996). MSC: 78A10 81Q70 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{S. Klein}, J. Mod. Opt. 43, No. 1, 165--180 (1996; Zbl 0941.78511) Full Text: DOI
Berry, M. V. Quantum fractals in boxes. (English) Zbl 0910.60087 J. Phys. A, Math. Gen. 29, No. 20, 6617-6629 (1996). MSC: 60K40 81Q05 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Gen. 29, No. 20, 6617--6629 (1996; Zbl 0910.60087) Full Text: DOI Link
Berry, Michael Resurgence of periodic orbits in the high orders of the Weyl expansion for quantum billiards. (English) Zbl 1052.81522 Iagolnitzer, Daniel (ed.), Proceedings of the XIth international congress on mathematical physics, Paris, France, July 18–23, 1994. Cambridge, MA: International Press (ISBN 1-57146-030-6/hbk). 304-305 (1995). MSC: 81Q50 37A30 34M37 PDFBibTeX XMLCite \textit{M. Berry}, in: Proceedings of the XIth international congress on mathematical physics, Paris, France, July 18--23, 1994. Cambridge, MA: International Press. 304--305 (1995; Zbl 1052.81522)
Berry, M. V.; Keating, Jonathan P. Persistent current flux correlations calculated by quantum chaology. (English) Zbl 0843.58088 J. Phys. A, Math. Gen. 27, No. 18, 6167-6176 (1994). MSC: 81Q50 81Q20 82C41 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{J. P. Keating}, J. Phys. A, Math. Gen. 27, No. 18, 6167--6176 (1994; Zbl 0843.58088) Full Text: DOI Link
Berry, M. V. Evanescent and real waves in quantum billiards and Gaussian beams. (English) Zbl 0843.58087 J. Phys. A, Math. Gen. 27, No. 11, L391-L398 (1994). MSC: 37D45 81Q50 37D40 53D25 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Gen. 27, No. 11, L391--L398 (1994; Zbl 0843.58087) Full Text: DOI Link
Berry, M. V.; Howls, C. J. High orders of the Weyl expansion for quantum billiards: Resurgence of periodic orbits, and the Stokes phenomenon. (English) Zbl 0826.58032 Proc. R. Soc. Lond., Ser. A 447, No. 1931, 527-555 (1994). MSC: 37N99 81Q50 81Q20 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{C. J. Howls}, Proc. R. Soc. Lond., Ser. A 447, No. 1931, 527--555 (1994; Zbl 0826.58032) Full Text: DOI
Robbins, J. M.; Berry, M. V. Discordance between quantum and classical correlation moments for chaotic systems. (English) Zbl 0755.58068 J. Phys. A, Math. Gen. 25, No. 15, L961-L965 (1992). MSC: 58Z05 37D45 81Q10 PDFBibTeX XMLCite \textit{J. M. Robbins} and \textit{M. V. Berry}, J. Phys. A, Math. Gen. 25, No. 15, L961--L965 (1992; Zbl 0755.58068) Full Text: DOI Link
Berry, M. V.; Keating, Jonathan P. A new asymptotic representation for \(\zeta(\tfrac12+it)\) and quantum spectral determinants. (English) Zbl 0776.11048 Proc. R. Soc. Lond., Ser. A 437, No. 1899, 151-173 (1992). Reviewer: Emilio Elizalde (Bellaterra) MSC: 11M26 81Q50 11M06 11M36 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{J. P. Keating}, Proc. R. Soc. Lond., Ser. A 437, No. 1899, 151--173 (1992; Zbl 0776.11048) Full Text: DOI
Goldberg, J.; Smilansky, U.; Berry, M. V.; Schweizer, W.; Wunner, G.; Zeller, G. The parametric number variance. (English) Zbl 0717.60117 Nonlinearity 4, No. 1, 1-14 (1991). Reviewer: St. Andersson MSC: 81Q50 81Q20 37D45 PDFBibTeX XMLCite \textit{J. Goldberg} et al., Nonlinearity 4, No. 1, 1--14 (1991; Zbl 0717.60117) Full Text: DOI Link
Berry, Michael Quantum adiabatic anholonomy. (English) Zbl 0721.53067 Anomalies, phases, defects..., Lect. Int. Sch., Ferrara/Italy 1989, Monogr. Textb. Phys. Sci., Lect. Notes 17, 125-181 (1990). Reviewer: V.Oproiu (Iaşi) MSC: 53B50 81-01 81S30 PDFBibTeX XML
Berry, M. V.; Keating, J. P. A rule for quantizing chaos? (English) Zbl 0715.58043 J. Phys. A, Math. Gen. 23, No. 21, 4839-4849 (1990). MSC: 81Q50 37N20 81Q20 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{J. P. Keating}, J. Phys. A, Math. Gen. 23, No. 21, 4839--4849 (1990; Zbl 0715.58043) Full Text: DOI Link
Berry, M. V. Fringes decorating anticaustics in ergodic wave-functions. (English) Zbl 0683.58048 Proc. R. Soc. Lond., Ser. A 424, No. 1867, 279-288 (1989). Reviewer: P.Boxler MSC: 58J65 81P20 PDFBibTeX XMLCite \textit{M. V. Berry}, Proc. R. Soc. Lond., Ser. A 424, No. 1867, 279--288 (1989; Zbl 0683.58048) Full Text: DOI
Berry, Michael Quantum chaology, not quantum chaos. (English) Zbl 1063.81572 Phys. Scr. 40, No. 3, 335-336 (1989). MSC: 81Q50 37D45 PDFBibTeX XMLCite \textit{M. Berry}, Phys. Scr. 40, No. 3, 335--336 (1989; Zbl 1063.81572) Full Text: DOI
Berry, M. V. Random renormalization in the semiclassical long-time limit of a precessing spin. (English) Zbl 0667.10026 Physica D 33, No. 1-3, 26-33 (1988). Reviewer: J.-P.Allouche MSC: 11L40 37J99 81V99 PDFBibTeX XMLCite \textit{M. V. Berry}, Physica D 33, No. 1--3, 26--33 (1988; Zbl 0667.10026) Full Text: DOI
Berry, M. V. Semiclassical formula for the number variance of the Riemann zeros. (English) Zbl 0664.10022 Nonlinearity 1, No. 3, 399-407 (1988). Reviewer: Jürgen Elstrodt (Münster) MSC: 11M06 37D45 81Q50 81Q20 PDFBibTeX XMLCite \textit{M. V. Berry}, Nonlinearity 1, No. 3, 399--407 (1988; Zbl 0664.10022) Full Text: DOI Link
Berry, M. V.; Goldberg, J. Renormalisation of curlicues. (English) Zbl 0662.10029 Nonlinearity 1, No. 1, 1-26 (1988). Reviewer: A.J.van der Poorten MSC: 11L03 37D45 81T17 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{J. Goldberg}, Nonlinearity 1, No. 1, 1--26 (1988; Zbl 0662.10029) Full Text: DOI Link
Keating, Jonathan; Mondragon, Raul [Berry, Michael] Quantum chaology of energy levels. Notes based on lectures by Michael Berry. (English) Zbl 0850.70252 Nonlinear evolution and chaotic phenomena, Proc. NATO ASI, Noto/Italy 1987, NATO ASI Ser., Ser. B 176, 189-196 (1988). MSC: 70K50 81Q50 PDFBibTeX XMLCite \textit{J. Keating} and \textit{R. Mondragon}, in: Painlevé property and integrability. . 189--196 (1988; Zbl 0850.70252)
Berry, M. V. The adiabatic phase and Pancharatnam’s phase for polarized light. (English) Zbl 0941.81542 J. Mod. Opt. 34, No. 11, 1401-1407 (1987). Reviewer: H.Hogreve (MR 90d:81047) MSC: 81Q70 78A02 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Mod. Opt. 34, No. 11, 1401--1407 (1987; Zbl 0941.81542) Full Text: DOI
Berry, M. V. Riemann’s zeta function: a model for quantum chaos? (English) Zbl 0664.10021 Quantum chaos and statistical nuclear physics, Lect. Notes Phys. 263, 1-17 (1986). Reviewer: Jürgen Elstrodt (Münster) MSC: 11M06 37D45 81Q50 PDFBibTeX XML
Berry, M. V.; Mondragon, R. J. Diabolical points in one-dimensional Hamiltonians quartic in the momentum. (English) Zbl 0627.58032 J. Phys. A 19, 873-885 (1986). MSC: 58Z05 58C25 58K99 81Q05 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{R. J. Mondragon}, J. Phys. A, Math. Gen. 19, 873--885 (1986; Zbl 0627.58032) Full Text: DOI Link
Berry, M. V.; Robnik, M. Quantum states without time-reversal symmetry: wavefront dislocations in a nonintegrable Aharonov-Bohm billiard. (English) Zbl 0616.58042 J. Phys. A 19, 1365-1372 (1986). MSC: 37N99 37A99 81T99 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{M. Robnik}, J. Phys. A, Math. Gen. 19, 1365--1372 (1986; Zbl 0616.58042) Full Text: DOI
Berry, M. V. Classical adiabatic angles and quantal adiabatic phase. (English) Zbl 0569.70020 J. Phys. A 18, 15-27 (1985). MSC: 70H15 81Q15 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Gen. 18, 15--27 (1985; Zbl 0569.70020) Full Text: DOI Link
Berry, M. V. Semiclassical theory of spectral rigidity. (English) Zbl 0875.35061 Proc. R. Soc. Lond., Ser. A 400, No. 1819, 229-251 (1985). MSC: 35P05 34C25 81Q20 PDFBibTeX XMLCite \textit{M. V. Berry}, Proc. R. Soc. Lond., Ser. A 400, No. 1819, 229--251 (1985; Zbl 0875.35061) Full Text: DOI
Berry, M. V.; Robnik, M. Semiclassical level spacings when regular and chaotic orbits coexist. (English) Zbl 1188.81103 J. Phys. A, Math. Gen. 17, 2413-2421 (1984). MSC: 81Q50 37K10 37D45 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{M. Robnik}, J. Phys. A, Math. Gen. 17, 2413--2421 (1984; Zbl 1188.81103) Full Text: DOI
Berry, M. V.; Wilkinson, M. Diabolical points in the spectra of triangles. (English) Zbl 1113.81307 Proc. R. Soc. Lond., Ser. A 392, No. 1802, 15-43 (1984). MSC: 81Q10 81Q05 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{M. Wilkinson}, Proc. R. Soc. Lond., Ser. A 392, No. 1802, 15--43 (1984; Zbl 1113.81307) Full Text: DOI
Berry, M. V. Quantal phase factors accompanying adiabatic changes. (English) Zbl 1113.81306 Proc. R. Soc. Lond., Ser. A 392, No. 1802, 45-57 (1984). MSC: 81Q70 PDFBibTeX XMLCite \textit{M. V. Berry}, Proc. R. Soc. Lond., Ser. A 392, No. 1802, 45--57 (1984; Zbl 1113.81306) Full Text: DOI
Berry, M. V.; Klein, G. Newtonian trajectories and quantum waves in expanding force fields. (English) Zbl 0617.70014 J. Phys. A 17, 1805-1815 (1984). MSC: 70G10 76D05 81Q99 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{G. Klein}, J. Phys. A, Math. Gen. 17, 1805--1815 (1984; Zbl 0617.70014) Full Text: DOI Link
Korsch, H. J.; Berry, M. V. Evolution of Wigner’s phase-space density under a nonintegrable quantum map. (English) Zbl 1194.81108 Physica D 3, No. 3, 627-636 (1981). MSC: 81Q50 PDFBibTeX XMLCite \textit{H. J. Korsch} and \textit{M. V. Berry}, Physica D 3, No. 3, 627--636 (1981; Zbl 1194.81108) Full Text: DOI
Richens, P. J.; Berry, M. V. Pseudointegrable systems in classical and quantum mechanics. (English) Zbl 1194.37150 Physica D 2, No. 3, 495-512 (1981). MSC: 37N05 37N20 81Q50 37Jxx 37Kxx PDFBibTeX XMLCite \textit{P. J. Richens} and \textit{M. V. Berry}, Physica D 2, No. 3, 495--512 (1981; Zbl 1194.37150) Full Text: DOI
Hannay, J. H.; Berry, M. V. Quantization of linear maps on a torus-Fresnel diffraction by a periodic grating. (English) Zbl 1194.81107 Physica D 1, No. 3, 267-290 (1980). MSC: 81Q50 PDFBibTeX XMLCite \textit{J. H. Hannay} and \textit{M. V. Berry}, Physica D 1, No. 3, 267--290 (1980; Zbl 1194.81107) Full Text: DOI
Berry, M. V. Quantization of mappings and other simple classical models. (English) Zbl 0475.34027 Nonlinear dynamics, int. Conf., New York 1979, Ann. N.Y. Acad. Sci. 357, 183-202 (1980). MSC: 37-XX 81Q99 PDFBibTeX XML
Berry, M. V. Catastrophe and stochasticity in semiclassical quantum mechanics. (English) Zbl 0407.58022 Structural stability in physics, Proc. of two int. Symp. on Appl. of Catastrophe theory and topological concepts in Phys., Tübingen 1978, 122-125 (1979). MSC: 58K35 81Q20 58Z05 PDFBibTeX XML
Berry, M. V.; Balazs, N. L. Evolution of semiclassical quantum states in phase space. (English) Zbl 0396.70018 J. Physics A 12, 625-642 (1979). MSC: 70G10 81S99 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{N. L. Balazs}, J. Phys. A, Math. Gen. 12, 625--642 (1979; Zbl 0396.70018) Full Text: DOI
Berry, M. V.; Tabor, M. Level clustering in the regular spectrum. (English) Zbl 1119.81395 Proc. R. Soc. Lond., Ser. A 356, No. 1686, 375-394 (1977). MSC: 81U05 81Q10 PDFBibTeX XMLCite \textit{M. V. Berry} and \textit{M. Tabor}, Proc. R. Soc. Lond., Ser. A 356, No. 1686, 375--394 (1977; Zbl 1119.81395) Full Text: DOI
Berry, M. V. Semi-classical mechanics in phase space: A study of Wigner’s function. (English) Zbl 0421.70020 Philos. Trans. R. Soc. Lond., A 287, 237-271 (1977). MSC: 70F20 81Q99 PDFBibTeX XMLCite \textit{M. V. Berry}, Philos. Trans. R. Soc. Lond., Ser. A 287, 237--271 (1977; Zbl 0421.70020) Full Text: DOI
Berry, M. V. Regular and irregular semiclassical wavefunctions. (English) Zbl 0377.70014 J. Physics A 10, 2083-2091 (1977). MSC: 70G99 81R20 35L05 58C25 PDFBibTeX XMLCite \textit{M. V. Berry}, J. Phys. A, Math. Gen. 10, 2083--2091 (1977; Zbl 0377.70014) Full Text: DOI Link