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Preprint . 1997
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Quantum Hamilton-Jacobi Equation

Quantum Hamilton-Jacobi equation
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 18 May 1998Embargo end date: 01 Jan 1997 English Publisher:American Physical Society (APS)Journal:Physical Review Letters, volume 80, pages 4,366-4,369 (issn: 0031-9007, eissn: 1079-7114, Copyright policy )
Authors: Periwal, Vipul;

doi: 10.1103/physrevlett.80.4366 , 10.48550/arxiv.hep-th/9709200

arXiv: hep-th/9709200

Quantum Hamilton-Jacobi Equation

Abstract

The nontrivial transformation of the phase space path integral measure under certain discretized analogues of canonical transformations is computed. This Jacobian is used to derive a quantum analogue of the Hamilton-Jacobi equation for the generating function of a canonical transformation that maps any quantum system to a system with a vanishing Hamiltonian. A formal perturbative solution of the quantum Hamilton-Jacobi equation is given.

4 pages, RevTeX

Related Organizations
Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Average
Green
bronze