Journal of Nonlinear Mathematical Physics

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Volume 12, Issue 2, May 2005, Pages 178 - 208

Subgroup Type Coordinates and the Separationof Variables in Hamilton-Jacobi and Schrödinger Equations

Authors
E.G. Kalnins, Z. Thomova, P. Winternitz
Corresponding Author
E.G. Kalnins
Received 1 December 2004, Accepted 1 January 2005, Available Online 1 May 2005.
DOI
10.2991/jnmp.2005.12.2.4How to use a DOI?
Abstract

Separable coordinate systems are introduced in complex and real four-dimensional flat spaces. We use maximal Abelian subgroups to generate coordinate systems with a maximal number of ignorable variables. The results are presented (also graphically) in terms of subgroup chains. Finally the explicit solutions of the Schrödinger equation in the separable coordinate systems are computed.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - 2
Pages
178 - 208
Publication Date
2005/05/01
ISBN
91-974824-4-7
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.2.4How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - E.G. Kalnins
AU  - Z. Thomova
AU  - P. Winternitz
PY  - 2005
DA  - 2005/05/01
TI  - Subgroup Type Coordinates and the Separationof Variables in Hamilton-Jacobi and Schrödinger Equations
JO  - Journal of Nonlinear Mathematical Physics
SP  - 178
EP  - 208
VL  - 12
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.2.4
DO  - 10.2991/jnmp.2005.12.2.4
ID  - Kalnins2005
ER  -