On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation

Arindam Chakraborty

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arXiv · 2603.06643

On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation

Arindam Chakraborty

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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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Arindam Chakraborty. 2026-02-26. On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation. https://arxiv.org/abs/2603.06643

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