Journal of Nonlinear Mathematical Physics

Volume 6, Issue 1, February 1999, Pages 51 - 65

Contact Symmetry of Time-Dependent Schrödinger Equation for a Two-Particle System: Symmetry Classification of Two-Body Central Potentials

Authors
P. RUDRA
Corresponding Author
P. RUDRA
Available Online 1 February 1999.
DOI
https://doi.org/10.2991/jnmp.1999.6.1.5How to use a DOI?
Abstract
Symmetry classification of two-body central potentials in a two-particle Schrödinger equation in terms of contact transformations of the equation has been investigated. Explicit calculation has shown that they are of the same four different classes as for the point transformations. Thus in this problem contact transformations are not essentially different from point transformations. We have also obtained the detailed algebraic structures of the corresponding Lie algebras and the functional bases of invariants for the transformation groups in all the four classes.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
6 - 1
Pages
51 - 65
Publication Date
1999/02
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.1999.6.1.5How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - P. RUDRA
PY  - 1999
DA  - 1999/02
TI  - Contact Symmetry of Time-Dependent Schrödinger Equation for a Two-Particle System: Symmetry Classification of Two-Body Central Potentials
JO  - Journal of Nonlinear Mathematical Physics
SP  - 51
EP  - 65
VL  - 6
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1999.6.1.5
DO  - https://doi.org/10.2991/jnmp.1999.6.1.5
ID  - RUDRA1999
ER  -