On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation
Quantum Physics
2026-03-10 v1
Abstract
The general forms of Quantum Hamilton Jacobi Equation for a particle of constant mass, position dependent effective mass and non-Hermitian Effective mass Swanson model have been considered. It has been found that the said equations can be recast in the form of Cayley-Klein Riccati equations which admit a Lie-Hamilton structure. The possible expressions of Lie symmetry and Lie Integral have also been considered.
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Cite
@article{arxiv.2603.06643,
title = {On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation},
author = {Arindam Chakraborty},
journal= {arXiv preprint arXiv:2603.06643},
year = {2026}
}
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15 pages