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
Received 31 July 1998, Accepted 8 September 1998, Available Online 1 February 1999.
- DOI
- 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.
- 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
TY - JOUR AU - P. Rudra PY - 1999 DA - 1999/02/01 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 - 10.2991/jnmp.1999.6.1.5 ID - Rudra1999 ER -