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
Available Online 1 February 1999.
- https://doi.org/10.2991/jnmp.19126.96.36.199How to use a DOI?
- 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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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.19188.8.131.52 DO - https://doi.org/10.2991/jnmp.19184.108.40.206 ID - RUDRA1999 ER -