Breteaux, Sébastien; Faupin, Jérémy; Payet, Jimmy Quasi-classical ground states. I: Linearly coupled Pauli-Fierz Hamiltonians. (English) Zbl 07787214 Doc. Math. 28, No. 5, 1191-1233 (2023). MSC: 81T99 35Q40 PDFBibTeX XMLCite \textit{S. Breteaux} et al., Doc. Math. 28, No. 5, 1191--1233 (2023; Zbl 07787214) Full Text: DOI arXiv
Derakhshani, Maaneli; Kiessling, Michael K. -H.; Tahvildar-Zadeh, A. Shadi Covariant Guiding Laws for Fields. arXiv:2110.09683 Preprint, arXiv:2110.09683 [math-ph] (2021). MSC: 35Q41 81Q65 81S99 81T99 70H20 70S05 BibTeX Cite \textit{M. Derakhshani} et al., ``Covariant Guiding Laws for Fields'', Preprint, arXiv:2110.09683 [math-ph] (2021) Full Text: arXiv OA License
Kanatchikov, I. V. Schrödinger wave functional of a quantum scalar field in static space-times from precanonical quantization. (English) Zbl 1407.81121 Int. J. Geom. Methods Mod. Phys. 16, No. 2, Article ID 1950017, 15 p. (2019). MSC: 81T20 81T70 81T99 83C47 15A66 11E88 35R10 PDFBibTeX XMLCite \textit{I. V. Kanatchikov}, Int. J. Geom. Methods Mod. Phys. 16, No. 2, Article ID 1950017, 15 p. (2019; Zbl 1407.81121) Full Text: DOI arXiv
Bouas, J. D.; Fulling, S. A.; Mera, F. D.; Thapa, K.; Trendafilova, C. S.; Wagner, J. Investigating the spectral geometry of a soft wall. (English) Zbl 1317.81095 Barnett, Alex H. (ed.) et al., Spectral geometry. Based on the international conference, Dartmouth, NH, USA, July 19–23, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5319-1/hbk). Proceedings of Symposia in Pure Mathematics 84, 139-154 (2012). MSC: 81Q05 81V99 35P05 81T99 PDFBibTeX XMLCite \textit{J. D. Bouas} et al., Proc. Symp. Pure Math. 84, 139--154 (2012; Zbl 1317.81095) Full Text: DOI arXiv
Izquierdo, Alberto Alonso; León, Miguel Ángel González; De La Torre Mayado, Marina Solitary waves in massive nonlinear \(\mathbb S^N\)-sigma models. (English) Zbl 1190.35191 SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 017, 22 p. (2010). MSC: 35Q51 81T99 35B35 37K40 37K45 PDFBibTeX XMLCite \textit{A. A. Izquierdo} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 017, 22 p. (2010; Zbl 1190.35191) Full Text: DOI arXiv EuDML EMIS
Gillard, Mike; Sutcliffe, Paul Domain walls and double bubbles. (English) Zbl 1186.81110 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2109, 2911-2925 (2009). MSC: 81T99 35Q40 PDFBibTeX XMLCite \textit{M. Gillard} and \textit{P. Sutcliffe}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 465, No. 2109, 2911--2925 (2009; Zbl 1186.81110) Full Text: DOI arXiv Link
Sergeev, Sergey M. Classical integrable field theories in discrete \((2+1)\)-dimensional spacetime. (English) Zbl 1177.35048 J. Phys. A, Math. Theor. 42, No. 29, Article ID 295206, 19 p. (2009). MSC: 35C05 35Q51 37K10 37J35 70H06 81T99 PDFBibTeX XMLCite \textit{S. M. Sergeev}, J. Phys. A, Math. Theor. 42, No. 29, Article ID 295206, 19 p. (2009; Zbl 1177.35048) Full Text: DOI arXiv
Colombeau, Jean-Francois; Gsponer, Andre The Heisenberg-Pauli canonical formalism of quantum field theory in the rigorous setting of nonlinear generalized functions (Part I). arXiv:0807.0289 Preprint, arXiv:0807.0289 [math-ph] (2008). MSC: 81Q99 35D99 35Q40 46F30 81T99 BibTeX Cite \textit{J.-F. Colombeau} and \textit{A. Gsponer}, ``The Heisenberg-Pauli canonical formalism of quantum field theory in the rigorous setting of nonlinear generalized functions (Part I)'', Preprint, arXiv:0807.0289 [math-ph] (2008) Full Text: arXiv OA License
Du, Xinghua New exact solutions to the nonlinear coupled scalar field equations. (Chinese. English summary) Zbl 1142.35552 Math. Pract. Theory 37, No. 6, 153-159 (2007). MSC: 35Q40 81T99 35C05 PDFBibTeX XMLCite \textit{X. Du}, Math. Pract. Theory 37, No. 6, 153--159 (2007; Zbl 1142.35552)
Harrivel, Dikanaina Perturbative classical and quantum field theory. arXiv:math-ph/0603014 Preprint, arXiv:math-ph/0603014 [math-ph] (2006). MSC: 81T99 81Q15 81Q05 35C10 35Q40 BibTeX Cite \textit{D. Harrivel}, ``Perturbative classical and quantum field theory'', Preprint, arXiv:math-ph/0603014 [math-ph] (2006) Full Text: arXiv
Jing, Jian On the boundary conditions as Dirac constraints. (English) Zbl 1191.81210 Eur. Phys. J. C, Part. Fields 39, No. 1, 123-127 (2005). MSC: 81T99 35Q35 PDFBibTeX XMLCite \textit{J. Jing}, Eur. Phys. J. C, Part. Fields 39, No. 1, 123--127 (2005; Zbl 1191.81210) Full Text: DOI
Alonso Izquierdo, A.; Bueno Sánchez, J. C.; González León, M. A.; de la Torre Mayado, M. Kink manifolds in a three-component scalar field theory. (English) Zbl 1040.35084 J. Phys. A, Math. Gen. 37, No. 11, 3607-3626 (2004). MSC: 35Q51 81T99 37K40 PDFBibTeX XMLCite \textit{A. Alonso Izquierdo} et al., J. Phys. A, Math. Gen. 37, No. 11, 3607--3626 (2004; Zbl 1040.35084) Full Text: DOI arXiv
Rider, B. Fluctuations in the thermodynamic limit of focussing cubic Schrödinger. (English) Zbl 1037.82027 J. Stat. Phys. 113, No. 3-4, 575-594 (2003). MSC: 82C05 81V70 81T99 81S25 82B30 35Q55 PDFBibTeX XMLCite \textit{B. Rider}, J. Stat. Phys. 113, No. 3--4, 575--594 (2003; Zbl 1037.82027) Full Text: DOI
Bratek, Łukasz Structure of solutions of the Skyrme model on a three-sphere: Numerical results. (English) Zbl 1034.81537 Nonlinearity 16, No. 4, 1539-1564 (2003). MSC: 81V35 35Q51 81T99 58E50 81-04 PDFBibTeX XMLCite \textit{Ł. Bratek}, Nonlinearity 16, No. 4, 1539--1564 (2003; Zbl 1034.81537) Full Text: DOI arXiv
Dragovich, Branko; Sazdović, Branislav Real, \(p\)-adic and adelic noncommutative scalar solitons. (English) Zbl 1071.35539 Dragovich, B. (ed.) et al., Proceedings of the summer school in modern mathematical physics, Sokobanja, Yugoslavia, August 13–25, 2001. Belgrade: Institute of Physics (ISBN 86-82441-09-8). Sveske Fiz. Nauka, Ser. A, Conf. 3, 283-296 (2002). Reviewer: Zoran Rakić (Beograd) MSC: 35Q51 53D55 81T99 PDFBibTeX XMLCite \textit{B. Dragovich} and \textit{B. Sazdović}, in: Proceedings of the summer school in modern mathematical physics, Sokobanja, Yugoslavia, August 13--25, 2001. Belgrade: Institute of Physics. 283--296 (2002; Zbl 1071.35539) Full Text: arXiv
Fairlie, D. B. The multi-field complex Bateman equation. (English) Zbl 1005.35065 Lett. Math. Phys. 59, No. 2, 107-115 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 35L70 35Q40 81T99 PDFBibTeX XMLCite \textit{D. B. Fairlie}, Lett. Math. Phys. 59, No. 2, 107--115 (2002; Zbl 1005.35065) Full Text: DOI arXiv
Strauss, Y.; Horwitz, L. P. Representation of the resonances of a relativistic quantum field theoretical model in Lax-Phillips scattering theory. (English) Zbl 1008.81093 Chaos Solitons Fractals 12, No. 14-15, 2747-2756 (2001). Reviewer: Viorel Iftimie (Bucureşti) MSC: 81U05 81T99 81U20 35B34 35P25 PDFBibTeX XMLCite \textit{Y. Strauss} and \textit{L. P. Horwitz}, Chaos Solitons Fractals 12, No. 14--15, 2747--2756 (2001; Zbl 1008.81093) Full Text: DOI arXiv
Rocha-Chávez, R.; Shapiro, M. On singular integrals of the time-harmonic relativistic Dirac bispinors theory. (English) Zbl 1105.30038 Lyubich, Yu. (ed.) et al., Entire functions in modern analysis. Boris Levin memorial conference. Proceedings of the conference, Tel-Aviv, Israel, December 14–19, 1997. Ramat-Gan: Bar-Ilan University, Gelbart Research Institute for Mathematical Sciences; Ramat-Gan: Bar-Ilan University, Emmy Noether Research Institute of Mathematics. Isr. Math. Conf. Proc. 15, 311-337 (2001). MSC: 30G35 35Q99 81T99 PDFBibTeX XMLCite \textit{R. Rocha-Chávez} and \textit{M. Shapiro}, Isr. Math. Conf. Proc. 15, 311--337 (2001; Zbl 1105.30038)
Aigner, Mats Existence of the Ginzburg-Landau vortex number. (English) Zbl 0976.58012 Commun. Math. Phys. 216, No. 1, 17-22 (2001). MSC: 58E15 35Q40 81T99 PDFBibTeX XMLCite \textit{M. Aigner}, Commun. Math. Phys. 216, No. 1, 17--22 (2001; Zbl 0976.58012) Full Text: DOI
Graham, N. Quantum corrections to Q-balls. (English) Zbl 0969.81640 Phys. Lett., B 513, No. 1-2, 112-118 (2001). MSC: 81T99 35Q51 PDFBibTeX XMLCite \textit{N. Graham}, Phys. Lett., B 513, No. 1--2, 112--118 (2001; Zbl 0969.81640) Full Text: DOI arXiv
Gielerak, R.; Ługiewicz, P. From stochastic differential equation to quantum field theory. (English) Zbl 0964.81060 Rep. Math. Phys. 44, No. 1-2, 101-110 (1999). MSC: 81T99 35S99 60H99 81S20 PDFBibTeX XMLCite \textit{R. Gielerak} and \textit{P. Ługiewicz}, Rep. Math. Phys. 44, No. 1--2, 101--110 (1999; Zbl 0964.81060) Full Text: DOI arXiv
Takasaki, Kanehisa Dual isomonodromic problems and Whitham equations. (English) Zbl 0899.35109 Lett. Math. Phys. 43, No. 2, 123-135 (1998). MSC: 35Q58 37J35 37K10 81T99 PDFBibTeX XMLCite \textit{K. Takasaki}, Lett. Math. Phys. 43, No. 2, 123--135 (1998; Zbl 0899.35109) Full Text: DOI arXiv
Simulik, V. M. A theorem on the structure of a complete set of conformal-like series of conserved quantities for massless fields. (English. Russian original) Zbl 0939.81041 Ukr. Math. J. 49, No. 12, 1927-1931 (1997); translation from Ukr. Mat. Zh. 49, No. 12, 1707-1711 (1997). Reviewer: A.N.Kochubei (Kyïv) MSC: 81T99 35L65 PDFBibTeX XMLCite \textit{V. M. Simulik}, Ukr. Mat. Zh. 49, No. 12, 1707--1711 (1997; Zbl 0939.81041); translation from Ukr. Mat. Zh. 49, No. 12, 1707--1711 (1997) Full Text: DOI
Maslov, V. P.; Shvedov, O. Yu. On the asymptotic behavior of the spectrum of the Hamiltonian in quantum theory for a large number of fields. (English. Russian original) Zbl 0949.81014 Phys.-Dokl. 42, No. 1, 1-5 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 352, No. 1, 36-40 (1997). Reviewer: P.Dyshlovenko (Ul’yanovsk) MSC: 81Q10 81Q20 81T99 35P15 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{O. Yu. Shvedov}, Phys.-Dokl. 42, No. 1, 1--5 (1997; Zbl 0949.81014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 352, No. 1, 36--40 (1997)
Takasaki, Kanehisa Integrable hierarchy underlying topological Landau-Ginzburg models of \(D\)-type. (English) Zbl 0797.35152 Lett. Math. Phys. 29, No. 2, 111-121 (1993). MSC: 35Q58 37J35 37K10 81T99 35Q15 PDFBibTeX XMLCite \textit{K. Takasaki}, Lett. Math. Phys. 29, No. 2, 111--121 (1993; Zbl 0797.35152) Full Text: DOI arXiv
Barraza, O.; Falomir, H.; Gamboa Saraví, R. E.; Santangelo, E. M. \(P\) determinants and boundary values. (English) Zbl 0760.58047 J. Math. Phys. 33, No. 6, 2046-2052 (1992). MSC: 58J52 35S15 58J40 81T99 58J05 PDFBibTeX XMLCite \textit{O. Barraza} et al., J. Math. Phys. 33, No. 6, 2046--2052 (1992; Zbl 0760.58047) Full Text: DOI
Darkhosh, Teymour Hyperbolicity of invariant wave equations. (English) Zbl 0773.35057 J. Math. Phys. 32, No. 12, 3285-3287 (1991). MSC: 35Q40 35L05 81T99 PDFBibTeX XMLCite \textit{T. Darkhosh}, J. Math. Phys. 32, No. 12, 3285--3287 (1991; Zbl 0773.35057) Full Text: DOI
Muraskin, Murray Nonintegrable systems. (English) Zbl 0734.35088 Math. Comput. Modelling 14, 64-69 (1990). MSC: 35Q40 81T99 35Q51 PDFBibTeX XMLCite \textit{M. Muraskin}, Math. Comput. Modelling 14, 64--69 (1990; Zbl 0734.35088) Full Text: DOI
Feigin, B. L.; Shekhtman, V. V.; Varchenko, A. N. On algebraic equations satisfied by correlators in Wess-Zumino-Witten models. (English) Zbl 0719.35080 Lett. Math. Phys. 20, No. 4, 291-297 (1990). MSC: 35Q53 17B67 81T99 PDFBibTeX XMLCite \textit{B. L. Feigin} et al., Lett. Math. Phys. 20, No. 4, 291--297 (1990; Zbl 0719.35080) Full Text: DOI
Shekhtman, V. V.; Varchenko, A. N. Hypergeometric solutions of Knizhnik-Zamolodchikov equations. (English) Zbl 0719.35079 Lett. Math. Phys. 20, No. 4, 279-283 (1990). MSC: 35Q40 17B67 81T99 PDFBibTeX XMLCite \textit{V. V. Shekhtman} and \textit{A. N. Varchenko}, Lett. Math. Phys. 20, No. 4, 279--283 (1990; Zbl 0719.35079) Full Text: DOI
Tang, P.; Wilets, L. The linearized gauge field propagator in an inhomogeneous medium. (English) Zbl 0711.35109 J. Math. Phys. 31, No. 7, 1661-1669 (1990). MSC: 35Q40 35Q60 81T99 PDFBibTeX XMLCite \textit{P. Tang} and \textit{L. Wilets}, J. Math. Phys. 31, No. 7, 1661--1669 (1990; Zbl 0711.35109) Full Text: DOI
Bros, J. On the notions of scattering state, potential and wave-function in quantum field theory: An analytic-functional viewpoint. (English) Zbl 0702.35198 Algebraic analysis, Pap. Dedicated to Prof. Mikio Sato on the Occas. of his Sixtieth Birthday, Vol. 1, 49-73 (1989). Reviewer: J.Schmeelk MSC: 35P25 35Q40 81T99 81U99 PDFBibTeX XML
Kuznetsov, V. B.; Tsyganov, A. V. Infinite series of Lie algebras and boundary conditions for integrable systems. (Russian. English summary) Zbl 0697.35132 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 172, 88-98 (1989). MSC: 35Q99 17B65 37J35 37K10 81T99 PDFBibTeX XMLCite \textit{V. B. Kuznetsov} and \textit{A. V. Tsyganov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 172, 88--98 (1989; Zbl 0697.35132) Full Text: EuDML
Jimbo, Michio Introduction to the Yang-Baxter equation. (English) Zbl 0697.35131 Int. J. Mod. Phys. A 4, No. 15, 3759-3777 (1989). Reviewer: M.Jimbo MSC: 35Q99 35-02 81T99 37J35 37K10 17B35 16W30 PDFBibTeX XMLCite \textit{M. Jimbo}, Int. J. Mod. Phys. A 4, No. 15, 3759--3777 (1989; Zbl 0697.35131) Full Text: DOI
Kirillov, A. N.; Smirnov, F. A. Form-factors in the SU(2)-invariant Thirring model. (English. Russian original) Zbl 0692.35106 J. Sov. Math. 47, No. 2, 2423-2450 (1989); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 164, 80-120 (1987). MSC: 35Q99 81S05 81T99 PDFBibTeX XMLCite \textit{A. N. Kirillov} and \textit{F. A. Smirnov}, J. Sov. Math. 47, No. 2, 2423--2450 (1989; Zbl 0692.35106); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 164, 80--120 (1987) Full Text: DOI
Kirillov, A. N.; Smirnov, F. A. Solution of some combinatorial problems which arise in calculating correlators in exactly solvable models. (English. Russian original) Zbl 0692.35105 J. Sov. Math. 47, No. 2, 2413-2423 (1989); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 164, 67-79 (1987). MSC: 35Q99 81T99 PDFBibTeX XMLCite \textit{A. N. Kirillov} and \textit{F. A. Smirnov}, J. Sov. Math. 47, No. 2, 2413--2423 (1989; Zbl 0692.35105); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 164, 67--79 (1987) Full Text: DOI
Kirillov, A. N. Formulae for form factors in the quantum sh-Gordon model. (English. Russian original) Zbl 0692.35104 J. Sov. Math. 47, No. 2, 2403-2413 (1989); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 164, 54-66 (1987). MSC: 35Q99 81T99 PDFBibTeX XMLCite \textit{A. N. Kirillov}, J. Sov. Math. 47, No. 2, 2403--2413 (1989; Zbl 0692.35104); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 164, 54--66 (1987) Full Text: DOI
Antoine, J.-P.; Lambert, D.; Sepulchre, J.-A. Classical Yang-Mills fields with conformal invariance: From exact solutions to qualitative analysis. (English) Zbl 0684.58054 Classical Quantum Gravity 6, No. 3, 295-310 (1989). MSC: 58Z05 58J70 81T99 35Q99 53C80 PDFBibTeX XMLCite \textit{J. P. Antoine} et al., Classical Quantum Gravity 6, No. 3, 295--310 (1989; Zbl 0684.58054) Full Text: DOI
Schrader, Robert Nonlinear boundary value problems in quantum field theory. (English) Zbl 0676.35079 Ann. Phys. 191, No. 2, 258-285 (1989). MSC: 35Q99 81T99 35G30 PDFBibTeX XMLCite \textit{R. Schrader}, Ann. Phys. 191, No. 2, 258--285 (1989; Zbl 0676.35079) Full Text: DOI
Jaffe, Arthur; Lesniewski, Andrzej; Wieczerkowski, Christian A priori quantum field equations. (English) Zbl 0676.35078 Ann. Phys. 192, No. 1, 2-20 (1989). MSC: 35Q99 81T99 PDFBibTeX XMLCite \textit{A. Jaffe} et al., Ann. Phys. 192, No. 1, 2--20 (1989; Zbl 0676.35078) Full Text: DOI
Skripnik, V. I. The evolution operator of the Bogolyubov gradient diffusion hierarchy in the limit of the mean field. (Russian) Zbl 0699.35236 Mathematical problems of the system theory of charged particles in inhomogeneous media, Collect. Sci. Works, 77-85 (1988). Reviewer: Ju.V.Kostarčuk MSC: 35Q99 81T99 30D40 PDFBibTeX XML
Davies, B.; Gutkin, E. Intertwining operators and the quantum inverse method for the nonlinear Schrödinger equation. (English) Zbl 0696.35149 Physica A 151, 167-192 (1988). MSC: 35Q99 81T99 PDFBibTeX XMLCite \textit{B. Davies} and \textit{E. Gutkin}, Physica A 151, 167--192 (1988; Zbl 0696.35149) Full Text: DOI
Dey, Bishwajyoti K-dV like equations with domain wall solutions and their Hamiltonians. (English) Zbl 0694.35191 Solitons, Proc. Winter Sch., Tiruchirapalli/India 1987, Springer Ser. Nonlinear Dyn., 188-194 (1988). MSC: 35Q99 81T99 PDFBibTeX XML
Gutkin, Eugene Quantum nonlinear Schrödinger equation. II. Explicit solution. (English) Zbl 0692.35089 J. Funct. Anal. 77, No. 2, 326-345 (1988). Reviewer: J.Weidmann MSC: 35Q99 35K55 35C05 81T99 PDFBibTeX XMLCite \textit{E. Gutkin}, J. Funct. Anal. 77, No. 2, 326--345 (1988; Zbl 0692.35089) Full Text: DOI
Aminou, R.; Kosmann-Schwarzbach, Y. Bigèbres de Lie, doubles et carrés. (Lie bigebras, doubles and squares). (French) Zbl 0667.16006 Ann. Inst. Henri Poincaré, Phys. Théor. 49, No. 4, 461-478 (1988). Reviewer: T.Ratiu MSC: 16W30 17B67 81T99 22E70 17B10 17B60 35Q99 PDFBibTeX XMLCite \textit{R. Aminou} and \textit{Y. Kosmann-Schwarzbach}, Ann. Inst. Henri Poincaré, Phys. Théor. 49, No. 4, 461--478 (1988; Zbl 0667.16006) Full Text: Numdam EuDML
Kosmann-Schwarzbach, Y.; Magri, F. Poisson-Lie groups and complete integrability. I: Drinfeld bigebras, dual extensions and their canonical representations. (English) Zbl 0667.16005 Ann. Inst. Henri Poincaré, Phys. Théor. 49, No. 4, 433-460 (1988). Reviewer: T.Ratiu MSC: 16W30 17B10 17B67 17B35 81T99 22E70 17B60 35Q99 PDFBibTeX XMLCite \textit{Y. Kosmann-Schwarzbach} and \textit{F. Magri}, Ann. Inst. Henri Poincaré, Phys. Théor. 49, No. 4, 433--460 (1988; Zbl 0667.16005) Full Text: Numdam EuDML
Sasaki, Ryu; Yamanaka, Itaru Virasoro algebra, vertex operators, quantum Sine-Gordon and solvable quantum field theories. (English) Zbl 0661.35076 Conformal field theory and solvable lattice models, Symp., Kyoto/Jap. 1986, Adv. Stud. Pure Math. 16, 271-296 (1988). Reviewer: G.F.Post MSC: 35Q99 17B65 81T99 PDFBibTeX XML
Park, S. U.; Cho, B. H.; Myung, Y. S. \(Z_ 3\)-symmetric conformal algebra from KdV-type equation. (English) Zbl 0661.35075 J. Phys. A 21, No. 5, 1167-1171 (1988). Reviewer: G.F.Post MSC: 35Q99 17B65 81T99 35A30 PDFBibTeX XMLCite \textit{S. U. Park} et al., J. Phys. A, Math. Gen. 21, No. 5, 1167--1171 (1988; Zbl 0661.35075) Full Text: DOI
Van der Linden, J.; Nijhoff, F. W.; Capel, H. W.; Quispel, G. R. W. Linear integral equations and multicomponent nonlinear integrable systems. I. (English) Zbl 0697.35133 Physica A 137, 44-80 (1986). MSC: 35Q99 37J35 37K10 81T99 PDFBibTeX XMLCite \textit{J. Van der Linden} et al., Physica A 137, 44--80 (1986; Zbl 0697.35133) Full Text: DOI
Segur, Harvey Some open problems. (English) Zbl 0595.76009 Physica D 18, 1-12 (1986). MSC: 76B15 76B25 35Q99 81T99 PDFBibTeX XMLCite \textit{H. Segur}, Physica D 18, 1--12 (1986; Zbl 0595.76009) Full Text: DOI
Kurdgelaidze, D. F. Specific character of nonlinear equations of field theory. (Spetsifika reshenij nelinejnykh uravnenij teorii polya). (Russian) Zbl 0635.35002 Tbilisi: Izdatel’stvo Tbilisskogo Universiteta. 130 p. R. 0.65 (1985). Reviewer: P.Zabrejko MSC: 35-02 35Q99 35B40 35G20 81T99 PDFBibTeX XML
Bogdanov, I. V. Classical limit of the quantum inverse scattering problem. (English. Russian original) Zbl 0596.35103 Theor. Math. Phys. 65, 992-998 (1985); translation from Teor. Mat. Fiz. 65, No. 1, 35-43 (1985). Reviewer: N.Vulchanow MSC: 35P25 35R30 81T99 81V15 PDFBibTeX XMLCite \textit{I. V. Bogdanov}, Theor. Math. Phys. 65, 992--998 (1985; Zbl 0596.35103); translation from Teor. Mat. Fiz. 65, No. 1, 35--43 (1985) Full Text: DOI
Mandelis, Andreas Hamilton-Jacobi formulation and quantum theory of thermal wave propagation in the solid state. (English) Zbl 0585.73002 J. Math. Phys. 26, 2676-2683 (1985). MSC: 74A15 81T99 35K05 PDFBibTeX XMLCite \textit{A. Mandelis}, J. Math. Phys. 26, 2676--2683 (1985; Zbl 0585.73002) Full Text: DOI
Takeno, S. (ed.) Dynamical problems in soliton systems. Proceedings of the Seventh Kyoto Summer Institute, Kyoto, Japan, August 27-31, 1984. (English) Zbl 0562.35075 Springer Series in Synergetics, 30. Berlin etc.: Springer-Verlag. XIII, 281 p. DM 89.00 (1985). Reviewer: N.Jacob MSC: 35Q99 35-06 82D10 92F05 81T99 76X05 00B25 PDFBibTeX XML
Lepowsky, J. Some constructions of the affine Lie algebra \(A_ 1^{(1)}\). (English) Zbl 0558.17012 Applications of group theory in physics and mathematical physics, Proc. Summer Semin., Chicago 1982, Lect. Appl. Math. 21, 375-397 (1985). Reviewer: E.Abe MSC: 17B65 81T99 35Q99 05A19 15A66 PDFBibTeX XML
Sbitnev, V. I. Hyperbolic patterns. (English) Zbl 0594.35083 Physica D 13, 370-378 (1984). Reviewer: B.Guo MSC: 35Q99 81Q05 81T99 PDFBibTeX XMLCite \textit{V. I. Sbitnev}, Physica D 13, 370--378 (1984; Zbl 0594.35083) Full Text: DOI
Doktorov, E. V. Sigma-model associated with the Ernst equation. (Russian) Zbl 0603.35076 Group theoretical methods in physics, Vol. II, Proc. Int. Semin., Zvenigorod 1982, 376-381 (1983). MSC: 35Q99 35G20 81Q99 81T99 PDFBibTeX XML
Kay, Bernard S. Quantum fields in curved space-times and scattering theory. (English) Zbl 0544.35078 Differential geometric methods in mathematical physics, Proc. int. Conf., Clausthal/FRG 1980, Lect. Notes Math. 905, 272-295 (1982). Reviewer: N.Jacob MSC: 35Q99 35P25 81U99 81T99 83C99 58J90 58J50 PDFBibTeX XML
Vitiello, Giuseppe Bose condensation, solitons and canonical transformations in quantum field theory. (English) Zbl 0524.35091 Mathematics at the service of man, Proc. 2nd World Conf., Las Palmas/Spain 1982, 658-663 (1982). MSC: 35Q99 35L70 81Q05 81T99 PDFBibTeX XML
Sodano, P. Solitons as Bose condensates. (English) Zbl 0516.35057 Mathematics at the service of man, Proc. 2nd World Conf., Las Palmas/Spain 1982, 614-619 (1982). MSC: 35L70 35Q99 81Q05 81T99 83C05 81V70 PDFBibTeX XML
Butkovskij, A. G.; Pustyl’nikova, E. I. Controlling the coherent states of a quantum oscillator. (English. Russian original) Zbl 0511.49008 Autom. Remote Control 43, 1393-1398 (1983); translation from Avtom. Telemekh. 1982, No. 11, 38-43 (1982). MSC: 49J20 35B05 81T99 35B37 81Q05 PDFBibTeX XMLCite \textit{A. G. Butkovskij} and \textit{E. I. Pustyl'nikova}, Autom. Remote Control 43, 1393--1398 (1982; Zbl 0511.49008); translation from Avtom. Telemekh. 1982, No. 11, 38--43 (1982)
Kawai, Takahiro; Stapp, Henry P. On the regular holonomic character of the S-matrix and microlocal analysis of unitarity-type integrals. (English) Zbl 0491.35066 Commun. Math. Phys. 83, 213-242 (1982). MSC: 35N10 32A45 81U20 81T99 81Q30 PDFBibTeX XMLCite \textit{T. Kawai} and \textit{H. P. Stapp}, Commun. Math. Phys. 83, 213--242 (1982; Zbl 0491.35066) Full Text: DOI
Subbaswamy, K. R.; Trullinger, S. E. Intriguing properties of kinks in a simple model with a two-component field. (English) Zbl 1194.81080 Physica D 2, No. 2, 379-388 (1981). MSC: 81Q05 81T99 35Q51 PDFBibTeX XMLCite \textit{K. R. Subbaswamy} and \textit{S. E. Trullinger}, Physica D 2, No. 2, 379--388 (1981; Zbl 1194.81080) Full Text: DOI
Inoue, Atsushi An explicit solution of a certain Schwinger-Dyson equation. (English) Zbl 0505.35069 Proc. Japan Acad., Ser. A 57, 477-480 (1981). MSC: 35Q99 81Q05 81T99 35C05 PDFBibTeX XMLCite \textit{A. Inoue}, Proc. Japan Acad., Ser. A 57, 477--480 (1981; Zbl 0505.35069) Full Text: DOI
Avron, J. E.; Herbst, I. W.; Simon, B. Schrödinger operators with magnetic fields. III: Atoms in homogeneous magnetic field. (English) Zbl 0464.35086 Commun. Math. Phys. 79, 529-572 (1981). MSC: 35Q99 81T99 35J10 78A25 PDFBibTeX XMLCite \textit{J. E. Avron} et al., Commun. Math. Phys. 79, 529--572 (1981; Zbl 0464.35086) Full Text: DOI
Carmona, R.; Simon, B. Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. V: Lower bounds and path integrals. (English) Zbl 0464.35085 Commun. Math. Phys. 80, 59-98 (1981). MSC: 35Q99 81U10 81T99 PDFBibTeX XMLCite \textit{R. Carmona} and \textit{B. Simon}, Commun. Math. Phys. 80, 59--98 (1981; Zbl 0464.35085) Full Text: DOI
Jimbo, Michio; Miwa, Tetsuji; Sato, Mikio Supplement to holonomic quantum fields. IV. (English) Zbl 0455.35116 Publ. Res. Inst. Math. Sci. 17, 137-151 (1981). MSC: 35Q99 35R20 81Q05 81T99 PDFBibTeX XMLCite \textit{M. Jimbo} et al., Publ. Res. Inst. Math. Sci. 17, 137--151 (1981; Zbl 0455.35116) Full Text: DOI
Hou, Bo-yu; Hou, Bo-yuan; Wang, Pei Equations, eigenfunctions and Green function in the field of 0(5) instanton expressed by moving frames. (English) Zbl 0507.35077 Theoretical particle physics, Proc. 1980 Guanzhou Conf., Vol. 2, 1104-1124 (1980). MSC: 35Q99 35P10 81Q05 81S99 81T99 PDFBibTeX XML
Graffi, Sandro Operatori di Schrödinger con campi elettrici. (Italian) Zbl 0493.35033 Rend. Sem. Mat. Fis. Milano 50, 37-54 (1980). MSC: 35J10 81T99 PDFBibTeX XMLCite \textit{S. Graffi}, Rend. Semin. Mat. Fis. Milano 50, 37--54 (1980; Zbl 0493.35033) Full Text: DOI
Rembielinski, J. On the structure of the free field equations. (English) Zbl 0451.35087 J. Phys. A 13, 3619-3633 (1980). MSC: 35Q99 81T99 81T20 81R20 PDFBibTeX XMLCite \textit{J. Rembielinski}, J. Phys. A, Math. Gen. 13, 3619--3633 (1980; Zbl 0451.35087) Full Text: DOI
Isaacson, D.; Marchesin, D.; Paes-Leme, P. J. Numerical methods for studying anharmonic oscillator approximations to the \(\varphi^4_2\) quantum field theory. (English) Zbl 0445.65099 Int. J. Eng. Sci. 18, 341-349 (1980). MSC: 65N25 81-04 81T99 35J10 35P15 PDFBibTeX XMLCite \textit{D. Isaacson} et al., Int. J. Eng. Sci. 18, 341--349 (1980; Zbl 0445.65099) Full Text: DOI
Harrell, Evans M. Double wells. (English) Zbl 0445.35036 Commun. Math. Phys. 75, 239-261 (1980). MSC: 35J10 35P15 35P20 35Q99 81T99 PDFBibTeX XMLCite \textit{E. M. Harrell}, Commun. Math. Phys. 75, 239--261 (1980; Zbl 0445.35036) Full Text: DOI
Bullough, R. K. Solitons: Inverse scattering theory and its applications. (English) Zbl 0443.76021 Bifurcation phenomena in mathematical physics and related topics, Proc. NATO Adv. Study Inst., Cargese/Corsica 1979, 295-349 (1980). MSC: 76B25 35Q99 35R30 81T99 81Q05 76-02 PDFBibTeX XML
Burt, Philip B. Exact solutions of nonlinear generalizations of the wave equation. (English) Zbl 0427.35045 J. Math. Anal. Appl. 73, 49-51 (1980). MSC: 35L70 81T99 35Q99 35A05 PDFBibTeX XMLCite \textit{P. B. Burt}, J. Math. Anal. Appl. 73, 49--51 (1980; Zbl 0427.35045) Full Text: DOI
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio Holonomic quantum fields. IV. (English) Zbl 0436.35077 Publ. Res. Inst. Math. Sci. 15, 871-972 (1979). MSC: 35Q99 35J10 81Q05 81T99 PDFBibTeX XMLCite \textit{M. Sato} et al., Publ. Res. Inst. Math. Sci. 15, 871--972 (1979; Zbl 0436.35077) Full Text: DOI
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio Holonomic quantum fields. III. (English) Zbl 0436.35076 Publ. Res. Inst. Math. Sci. 15, 577-629 (1979). MSC: 35Q99 35R20 81Q05 81T99 PDFBibTeX XMLCite \textit{M. Sato} et al., Publ. Res. Inst. Math. Sci. 15, 577--629 (1979; Zbl 0436.35076) Full Text: DOI
Sato, Mikio; Miwa, Tetsuji; Jimbo, Michio Holonomic quantum fields. II: The Riemann-Hilbert problem. (English) Zbl 0433.35058 Publ. Res. Inst. Math. Sci., Kyoto Univ. 15, 201-278 (1979). MSC: 35Q15 35Q99 81T99 PDFBibTeX XMLCite \textit{M. Sato} et al., Publ. Res. Inst. Math. Sci. 15, 201--278 (1979; Zbl 0433.35058) Full Text: DOI
Jonsson, T.; McBryan, O.; Zirilli, F.; Hubbard, J. An existence theorem for multimeron solutions to classical Yang-Mills field equations. (English) Zbl 0421.35027 Commun. Math. Phys. 68, 259-273 (1979). MSC: 35J70 35J20 35J60 35J67 81T99 PDFBibTeX XMLCite \textit{T. Jonsson} et al., Commun. Math. Phys. 68, 259--273 (1979; Zbl 0421.35027) Full Text: DOI
Velo, Giorgio (ed.); Wightman, Arthur S. (ed.) [Wightman, A. S.; Gårding, Lars; Zwanziger, D.; Seiler, R.; Strauss, W. A.; Parenti, C.; Strocchi, F.; Velo, G.; Gervais, J. L.; Stora, R.; Fröhlich, J.; Ruisenaars, S. W. M.] Invariant wave equations. Proceedings of the ”Ettore Majorana” international school of mathematical physics held in Erice, June 27 to July 9, 1977. (English) Zbl 0435.35001 Lecture Notes in Physics. 73. Berlin-Heidelberg-New York: Springer- Verlag. 416 p. DM 37.00; $ 18.50 (1978). MSC: 35-02 35L60 35L40 81R20 58J90 81T08 81T99 83A05 81-02 PDFBibTeX XML
Davies, E. B. A model of atomic radiation. (English) Zbl 0386.46059 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 28, 91-110 (1978). MSC: 46N99 47A55 47F05 81Q15 81T99 60G20 81V80 35J10 PDFBibTeX XMLCite \textit{E. B. Davies}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 28, 91--110 (1978; Zbl 0386.46059) Full Text: Numdam EuDML
Maslov, V. P. The complex WKB method in nonlinear equations. (Kompleksnyj metod VKB v nelinejnykh uravneniyakh). (Russian) Zbl 0449.58001 Nelinejnyj Analiz i ego Prilozheniya. Moskva: Izdatel’stvo “Nauka”. 384 p. R. 1.60 (1977). MSC: 58-02 37J99 35Q99 81T99 81Q99 53D50 58J40 70H99 PDFBibTeX XML
Vinogradov, V. M. Dreidimensionale kovariante Formulierung des Zweikörperproblems in der Quantenfeldtheorie. (Russian) Zbl 0212.12704 Teor. Mat. Fiz. 7, 289-297 (1971). MSC: 35Q72 70F05 81T99 35Q40 PDFBibTeX XMLCite \textit{V. M. Vinogradov}, Teor. Mat. Fiz. 7, 289--297 (1971; Zbl 0212.12704)
Atakishiev, N. M. Asymptotic behavior of the Green’s function in some models of nonrenormalizable field theory. (English. Russian original) Zbl 1183.81114 Theor. Math. Phys. 1, No. 1, 46-50 (1969); translation from Teor. Mat. Fiz. 1, No. 1, 60-66 (1969). MSC: 81T99 35J08 PDFBibTeX XMLCite \textit{N. M. Atakishiev}, Theor. Math. Phys. 1, No. 1, 46--50 (1969; Zbl 1183.81114); translation from Teor. Mat. Fiz. 1, No. 1, 60--66 (1969) Full Text: DOI MNR