Related papers: Exact WKB-like Formulae for the Energies by means of the Quantum Hamilton-Jacobi Equation

Exact WKB-like Formulae for the Energies by means of the Quantum Hamilton-Jacobi Equation

URL: http://arxiv.org/abs/2204.02708v1
Date: Wed, 6 Apr 2022 10:13:39 GMT
Title: Exact WKB-like Formulae for the Energies by means of the Quantum Hamilton-Jacobi Equation
Authors: Mario Fusco Girard
Abstract summary: It is shown that by means of the approach based on the Quantum Hamilton-Jacobi equation, it is possible to modify the WKB expressions for the energy levels of quantum systems. This extends the results found in previous papers, where it was demonstrated that the QHJ method provides exact WKB-like expressions for the wave functions.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: It is shown that by means of the approach based on the Quantum Hamilton-Jacobi equation, it is possible to modify the WKB expressions for the energy levels of quantum systems, when incorrect, obtaining exact WKB-like formulae. This extends the results found in previous papers, where it was demonstrated that the QHJ method provides exact WKB-like expressions for the wave functions.

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