V. G. Bagrov, V. V. Obukhov, “Complete separation of variables in the free Hamilton–Jacobi equation”, TMF, 97:2 (1993), 250–269; Theoret. and Math. Phys., 97:2 (1993), 1275

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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 97, Number 2, Pages 250–269 (Mi tmf1738)

This article is cited in 13 scientific papers (total in 13 papers)

Complete separation of variables in the free Hamilton–Jacobi equation

V. G. Bagrov, V. V. Obukhov

Institute of High Current Electronics, Siberian Branch of the Russian Academy of Sciences

Full-text PDF (1396 kB) Citations (13)

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Abstract: The theory of Stäckel spaces is generalized to the case when the coordinate system in which there is complete separation of variables in the free Hamilton–Jacobi equation contains complex variables. Theorems which establish necessary and sufficient criteria of such spaces are proved.

Received: 01.10.1991
Revised: 21.10.1992

English version:
Theoretical and Mathematical Physics, 1993, Volume 97, Issue 2, Pages 1275–1289
DOI: https://doi.org/10.1007/BF01016874

Bibliographic databases:

Language: Russian

Citation: V. G. Bagrov, V. V. Obukhov, “Complete separation of variables in the free Hamilton–Jacobi equation”, TMF, 97:2 (1993), 250–269; Theoret. and Math. Phys., 97:2 (1993), 1275–1289

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf1738

https://www.mathnet.ru/eng/tmf/v97/i2/p250

This publication is cited in the following 13 articles:

M. O. Katanaev, “Separation of variables in the Hamilton–Jacobi equation for geodesics in two and three dimensions”, Theoret. and Math. Phys., 218:2 (2024), 264–275
M. D. de Oliveira, Alexandre G. M. Schmidt, “Exact solution of the Klein–Gordon oscillator in wormhole spacetime with Heun polynomial”, Int. J. Mod. Phys. D, 2024
Obukhov V.V., “Algebras of Integrals of Motion For the Hamilton-Jacobi and Klein-Gordon-Fock Equations in Spacetime With Four-Parameter Groups of Motions in the Presence of An External Electromagnetic Field”, J. Math. Phys., 63:2 (2022), 023505
Obukhov V.V., “<P>Algebra of the Symmetry Operators of the Klein-Gordon-Fock Equation For the Case When Groups of Motions G(3) Act Transitively on Null Subsurfaces of Spacetime</P>”, Symmetry-Basel, 14:2 (2022), 346
Obukhov V.V., Myrzakulov K.R., Guselnikova U.A., Zhadyranova A., “Algebras of Symmetry Operators of the Klein-Gordon-Fock Equation For Groups Acting Transitively on Two-Dimensional Subspaces of a Space-Time Manifold”, Russ. Phys. J., 64:7 (2021), 1320–1327
Magazev A.A., “Constructing a Complete Integral of the Hamilton-Jacobi Equation on Pseudo-Riemannian Spaces With Simply Transitive Groups of Motions”, Math. Phys. Anal. Geom., 24:2 (2021), 11
Obukhov V., “Separation of Variables in Hamilton-Jacobi and Klein-Gordon-Fock Equations For a Charged Test Particle in the Stackel Spaces of Type (1.1)”, Int. J. Geom. Methods Mod. Phys., 18:3 (2021), 2150036
Obukhov V.V., “Algebra of Symmetry Operators For Klein-Gordon-Fock Equation”, Symmetry-Basel, 13:4 (2021), 727
V. V. Obukhov, “Solutions of Maxwell's Equations in Vacuum for Stäckel Spaces of Type (1.1)”, Russ Phys J, 64:4 (2021), 695
Obukhov V., “Hamilton-Jacobi Equation For a Charged Test Particle in the Stackel Space of Type (2.0)”, Symmetry-Basel, 12:8 (2020), 1289
Obukhov V., “Separation of Variables in Hamilton-Jacobi Equation For a Charged Test Particle in the Stackel Spaces of Type (2.1)”, Int. J. Geom. Methods Mod. Phys., 17:14 (2020), 2050186
S. V. Chervon, V. M. Zhuravlev, “Exact solutions in cosmological inflationary models”, Russ Phys J, 39:8 (1996), 776
V. G. Bagrov, A. D. Istomin, V. V. Obukhov, K. E. Osetrin, “Classification of conformal steckel spaces in the vaidia problem”, Russ Phys J, 39:8 (1996), 744

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	499
Full-text PDF :	217
References:	102
First page:	1

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