On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation
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Quantum Physics arXiv:2603.06643 (quant-ph) [Submitted on 26 Feb 2026] Title:On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation Authors:Arindam Chakraborty View a PDF of the paper titled On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation, by Arindam Chakraborty View PDF HTML (experimental) 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. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.06643 [quant-ph] (or arXiv:2603.06643v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.06643 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Arindam Chakraborty [view email] [v1] Thu, 26 Feb 2026 05:22:30 UTC (27 KB) Full-text links: Access Paper: View a PDF of the paper titled On some signatures of Lie-Hamilton System in Quantum Hamilton Jacobi Equation, by Arindam ChakrabortyView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-03 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)