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On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation
Published 26 Feb 2026 in quant-ph | (2603.06643v1)
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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