Vladimirov, Igor G.; Petersen, Ian R. Direct coupling coherent quantum observers with discounted mean square performance criteria and penalized back-action. (English) Zbl 1513.81076 Math. Control Signals Syst. 34, No. 3, 607-646 (2022). MSC: 81Q93 93E11 81P16 65K10 49J40 49M05 93B25 70G65 17B45 81P45 PDFBibTeX XMLCite \textit{I. G. Vladimirov} and \textit{I. R. Petersen}, Math. Control Signals Syst. 34, No. 3, 607--646 (2022; Zbl 1513.81076) Full Text: DOI arXiv
Bruun Madsen, Thomas; Swann, Andrew Toric geometry of Spin(7)-manifolds. (English) Zbl 1490.53069 Int. Math. Res. Not. 2021, No. 21, 16511-16529 (2021). MSC: 53C27 57R15 81T11 PDFBibTeX XMLCite \textit{T. Bruun Madsen} and \textit{A. Swann}, Int. Math. Res. Not. 2021, No. 21, 16511--16529 (2021; Zbl 1490.53069) Full Text: DOI arXiv Link
Mougel, Jérémy; Nistor, Victor; Prudhon, Nicolas A refined HVZ-theorem for asymptotically homogeneous interactions and finitely many collision planes. (English) Zbl 1389.81022 Rev. Roum. Math. Pures Appl. 62, No. 1, 287-308 (2017). MSC: 81Q10 35P05 47L65 47L90 58J40 PDFBibTeX XMLCite \textit{J. Mougel} et al., Rev. Roum. Math. Pures Appl. 62, No. 1, 287--308 (2017; Zbl 1389.81022)
de Gosson, Maurice A. [Hiley, Basil] The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). With a forword by Basil Hiley. 2nd edition. (English) Zbl 1358.70001 Hackensack, NJ: World Scientific (ISBN 978-981-3200-96-8/hbk; 978-981-3200-98-2/ebook). xxv, 396 p. (2017). MSC: 70-02 81-02 PDFBibTeX XMLCite \textit{M. A. de Gosson}, The principles of Newtonian and quantum mechanics. The need for Planck's constant, \(h\). With a forword by Basil Hiley. 2nd edition. Hackensack, NJ: World Scientific (2017; Zbl 1358.70001) Full Text: DOI
Kalnins, Ernest G.; Kress, Jonathan M.; Miller, Willard jun.; Post, Sarah Laplace-type equations as conformal superintegrable systems. (English) Zbl 1268.37078 Adv. Appl. Math. 46, No. 1-4, 396-416 (2011). Reviewer: Eugene Kryachko (Liège) MSC: 37J35 35R01 81R12 PDFBibTeX XMLCite \textit{E. G. Kalnins} et al., Adv. Appl. Math. 46, No. 1--4, 396--416 (2011; Zbl 1268.37078) Full Text: DOI arXiv
Li, Hui Singular unitarity in “quantization commutes with reduction”. (English) Zbl 1145.53070 J. Geom. Phys. 58, No. 6, 720-742 (2008); corrigendum ibid. 76, 265-270 (2014). MSC: 53D50 53D20 81S10 PDFBibTeX XMLCite \textit{H. Li}, J. Geom. Phys. 58, No. 6, 720--742 (2008; Zbl 1145.53070) Full Text: DOI arXiv
Connes, Alain; Marcolli, Matilde Noncommutative geometry, quantum fields and motives. (English) Zbl 1209.58007 Colloquium Publications. American Mathematical Society 55. Providence, RI: American Mathematical Society (AMS)/Hindustan Book Agency (ISBN 978-0-8218-4210-2/hbk). xxii, 785 p. (2008). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58B34 58-02 11-02 81-02 11G35 PDFBibTeX XMLCite \textit{A. Connes} and \textit{M. Marcolli}, Noncommutative geometry, quantum fields and motives. Providence, RI: American Mathematical Society (AMS)/Hindustan Book Agency (2008; Zbl 1209.58007)
Efstathiou, K.; Sadovskii, D. A.; Zhilinskii, B. I. Analysis of rotation-vibration relative equilibria on the example of a tetrahedral four atom molecule. (English) Zbl 1057.81061 SIAM J. Appl. Dyn. Syst. 3, No. 3, 261-351 (2004). MSC: 81V55 37J15 37J35 37J40 58D19 PDFBibTeX XMLCite \textit{K. Efstathiou} et al., SIAM J. Appl. Dyn. Syst. 3, No. 3, 261--351 (2004; Zbl 1057.81061) Full Text: DOI Link
Arutyunov, G.; Frolov, S.; Russo, J.; Tseytlin, A. A. Spinning strings in \(\text{AdS}_5\times S^5\) and integrable systems. (English) Zbl 1037.83017 Nucl. Phys., B 671, 3-50 (2003). MSC: 83E30 37J35 81T30 37N20 PDFBibTeX XMLCite \textit{G. Arutyunov} et al., Nucl. Phys., B 671, 3--50 (2003; Zbl 1037.83017) Full Text: DOI arXiv
Nikolov, Petko A.; Petrov, Nikola P. A local approach to dimensional reduction. II: Conformal invariance in Minkowski space. (English) Zbl 1009.37042 J. Geom. Phys. 44, No. 4, 539-554 (2003). MSC: 37J15 53C80 78A25 70S05 81V10 PDFBibTeX XMLCite \textit{P. A. Nikolov} and \textit{N. P. Petrov}, J. Geom. Phys. 44, No. 4, 539--554 (2003; Zbl 1009.37042) Full Text: DOI
de Gosson, Maurice A. The principles of Newtonian and quantum mechanics. The need for Planck’s constant, \(h\). (English) Zbl 0991.70001 London: Imperial College Press (ISBN 1-86094-274-1/hbk; 978-1-84816-142-9/ebook). xxii, 357 p. (2001). Reviewer: N.D.Sengupta (Mumbai) MSC: 70-02 81-02 PDFBibTeX XMLCite \textit{M. A. de Gosson}, The principles of Newtonian and quantum mechanics. The need for Planck's constant, \(h\). London: Imperial College Press (2001; Zbl 0991.70001)
Nissimov, E.; Pacheva, S. Gauging of geometric actions and integrable hierarchies of the KP type. (English) Zbl 1125.37320 Int. J. Mod. Phys. A 16, No. 13, 2311-2364 (2001). Reviewer: Tomasz Brzeziński (Swansea) MSC: 37K10 81R12 81T13 37K30 PDFBibTeX XMLCite \textit{E. Nissimov} and \textit{S. Pacheva}, Int. J. Mod. Phys. A 16, No. 13, 2311--2364 (2001; Zbl 1125.37320) Full Text: DOI arXiv
Carey, Alan L.; Mickelsson, Jouko; Murray, Michael K. Bundle gerbes applied to quantum field theory. (English) Zbl 0961.81127 Rev. Math. Phys. 12, No. 1, 65-90 (2000). MSC: 81T99 53C80 58D29 58J90 14F43 55R65 PDFBibTeX XMLCite \textit{A. L. Carey} et al., Rev. Math. Phys. 12, No. 1, 65--90 (2000; Zbl 0961.81127) Full Text: DOI arXiv
Fedosov, Boris V. Non-abelian reduction in deformation quantization. (English) Zbl 0964.53055 Lett. Math. Phys. 43, No. 2, 137-154 (1998). MSC: 53D55 81S10 PDFBibTeX XMLCite \textit{B. V. Fedosov}, Lett. Math. Phys. 43, No. 2, 137--154 (1998; Zbl 0964.53055) Full Text: DOI Backlinks: MO
Stern, A. Bosonization and current algebra of spinning strings. (English) Zbl 0925.81224 Nucl. Phys., B 482, No. 1-2, 305-324 (1996). MSC: 81T30 81R10 81T50 PDFBibTeX XMLCite \textit{A. Stern}, Nucl. Phys., B 482, No. 1--2, 305--324 (1996; Zbl 0925.81224) Full Text: DOI arXiv
Binz, Ernst; Śniatycki, Jȩdrzej; Fischer, Hans Geometry of classical fields. (English) Zbl 0675.53065 North-Holland Mathematics Studies, 154; Notas de Matemática, 123. Amsterdam etc.: North-Holland. xviii, 450 p. $ 105.25; Dfl. 200.00 (1988). Reviewer: Bernd Wegner MSC: 53C80 53-02 58-02 83-02 81-02 70Gxx 22Exx 58Exx 58Dxx 37J99 PDFBibTeX XMLCite \textit{E. Binz} et al., Geometry of classical fields. Amsterdam etc.: North-Holland (1988; Zbl 0675.53065)
Hudson, R. L.; Robinson, P. Quantum diffusions and the noncommutative torus. (English) Zbl 0644.46047 Lett. Math. Phys. 15, No. 1, 47-53 (1988). Reviewer: A.Holevo MSC: 46L51 46L53 46L54 58J65 60H99 60J60 81T05 46L80 PDFBibTeX XMLCite \textit{R. L. Hudson} and \textit{P. Robinson}, Lett. Math. Phys. 15, No. 1, 47--53 (1988; Zbl 0644.46047) Full Text: DOI
Douglas, R. R.; Rutherford, A. R. Berry phase and compact transformation groups. (English) Zbl 0641.57018 Mathematical quantum field theory and related topics, Proc. Conf., Montreal/Can. 1987, CMS Conf. Proc. 9, 253-260 (1988). Reviewer: R.R.Douglas MSC: 57T20 57S15 81R10 22E70 18D99 57T15 PDFBibTeX XML
Browning, A. D.; McMullan, David The Batalin, Fradkin, and Vilkovisky formalism for higher-order theories. (English) Zbl 0625.58034 J. Math. Phys. 28, 438-444 (1987). Reviewer: R.Schmid MSC: 58Z05 81T08 17B56 PDFBibTeX XMLCite \textit{A. D. Browning} and \textit{D. McMullan}, J. Math. Phys. 28, 438--444 (1987; Zbl 0625.58034) Full Text: DOI
Atre, M. V.; Mukunda, N. Classical particles with internal structure: General formalism and application to first-order internal spaces. (English) Zbl 0632.70014 J. Math. Phys. 27, 2908-2919 (1986). Reviewer: M.Kummer MSC: 70H40 83A05 81V05 22E70 PDFBibTeX XMLCite \textit{M. V. Atre} and \textit{N. Mukunda}, J. Math. Phys. 27, 2908--2919 (1986; Zbl 0632.70014) Full Text: DOI
Kozlov, V. V.; Nikishin, E. M. The relativistic version of Hamiltonian formalism and wave functions of a hydrogen-like atom. (English. Russian original) Zbl 0624.70017 Mosc. Univ. Math. Bull. 41, No. 5, 10-19 (1986); translation from Vestn. Mosk. Univ., Ser. I 1986, No. 5, 11-20 (1986). MSC: 70H40 81R10 37J99 PDFBibTeX XMLCite \textit{V. V. Kozlov} and \textit{E. M. Nikishin}, Mosc. Univ. Math. Bull. 41, No. 5, 10--19 (1986; Zbl 0624.70017); translation from Vestn. Mosk. Univ., Ser. I 1986, No. 5, 11--20 (1986)
Kree, Paul Les Lagrangiens des équations de Dirac et de H. Weyl sont des formes exterieures. (French) Zbl 0511.58018 C. R. Acad. Sci., Paris, Sér. I 292, 735-737 (1981). MSC: 37J99 81Q05 58A25 PDFBibTeX XMLCite \textit{P. Kree}, C. R. Acad. Sci., Paris, Sér. I 292, 735--737 (1981; Zbl 0511.58018)
Guillemin, Victor; Sternberg, Shlomo The moment map and collective motion. (English) Zbl 0453.58015 Ann. Phys. 127, 220-253 (1980). MSC: 37J99 53D50 58D30 81R10 20C35 70H99 22E70 PDFBibTeX XMLCite \textit{V. Guillemin} and \textit{S. Sternberg}, Ann. Phys. 127, 220--253 (1980; Zbl 0453.58015) Full Text: DOI
Deenen, J.; Moshinsky, M.; Seligman, T. H. Canonical transformations to action and angle variables and their representations in quantum mechanics. III: The general problem. (English) Zbl 0442.70024 Ann. Phys. 127, 458-477 (1980). MSC: 70H15 70G99 81Q10 81R10 81Q99 81S05 20C35 46N99 PDFBibTeX XMLCite \textit{J. Deenen} et al., Ann. Phys. 127, 458--477 (1980; Zbl 0442.70024) Full Text: DOI