Separation of variables in (1+2)-dimensional Schr{umlt o}dinger equations

Journal Article · Fri Jan 31 23:00:00 EST 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.531874· OSTI ID:466885

Zhdanov, R Z ^[1]

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1. Institute of Mathematics, 3 Tereshchenkivska Street, 252004 Kiev (Ukraine)

Using our classification of separable Schr{umlt o}dinger equations with two space dimensions published in J. Math. Phys. {bold 36}, 5506 (1995) we give an exhaustive description of the coordinate systems providing their separability. Furthermore, we apply these results to separate variables in the heat, Hamilton{endash}Jacobi, and Fokker{endash}Planck equations. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 466885
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CLASSIFICATION
FOKKER-PLANCK EQUATION
HAMILTON-JACOBI EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
SCHROEDINGER EQUATION
THREE-DIMENSIONAL CALCULATIONS