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Open Quantum Systems Decoherence
Quantum Simulation
On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation
arXiv
Authors: Arindam Chakraborty
Year
2026
Paper ID
39147
Status
Preprint
Abstract Read
~2 min
Abstract Words
63
Citations
N/A
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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- 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...
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