Shape Invariance and the Exactness of Quantum Hamilton-Jacobi Formalism

Charles Cherqui; Yevgeny Binder; Asim Gangopadhyaya

doi:10.1016/j.physleta.2007.10.002

Shape Invariance and the Exactness of Quantum Hamilton-Jacobi Formalism

Charles Cherqui, Yevgeny Binder, Asim Gangopadhyaya

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

Quantum Hamilton-Jacobi Theory and supersymmetric quantum mechanics (SUSYQM) are two parallel methods to determine the spectra of a quantum mechanical systems without solving the Schr ̈odinger equation. It was recently shown that the shape invariance, which is an integrability condition in SUSYQM formalism, can be utilized to develop an iterative algorithm to determine the quantum momentum functions. In this paper, we show that shape invariance also suffices to determine the eigenvalues in Quantum Hamilton-Jacobi Theory.

Original language	American English
Journal	Physics: Faculty Publications and Other Works
Volume	372
Issue number	9
DOIs	https://doi.org/10.1016/j.physleta.2007.10.002
State	Published - Sep 25 2007

Keywords

quantum physics
Hamiltonian-Jacobi
Schrodinger

Disciplines

Physics
Quantum Physics

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title = "Shape Invariance and the Exactness of Quantum Hamilton-Jacobi Formalism",

abstract = " Quantum Hamilton-Jacobi Theory and supersymmetric quantum mechanics (SUSYQM) are two parallel methods to determine the spectra of a quantum mechanical systems without solving the Schr{\" }odinger equation. It was recently shown that the shape invariance, which is an integrability condition in SUSYQM formalism, can be utilized to develop an iterative algorithm to determine the quantum momentum functions. In this paper, we show that shape invariance also suffices to determine the eigenvalues in Quantum Hamilton-Jacobi Theory.",

keywords = "quantum physics, Hamiltonian-Jacobi, Schrodinger",

author = "Charles Cherqui and Yevgeny Binder and Asim Gangopadhyaya",

note = "Cherqui, C, Y Binder, and A Gangopadhyaya. {"}Shape invariance and the exactness of quantum Hamilton-Jacobi formalism.{"} http://arxiv.org/pdf/0708.2455.pdf",

year = "2007",

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AU - Cherqui, Charles

AU - Binder, Yevgeny

AU - Gangopadhyaya, Asim

N1 - Cherqui, C, Y Binder, and A Gangopadhyaya. "Shape invariance and the exactness of quantum Hamilton-Jacobi formalism." http://arxiv.org/pdf/0708.2455.pdf

PY - 2007/9/25

Y1 - 2007/9/25

N2 - Quantum Hamilton-Jacobi Theory and supersymmetric quantum mechanics (SUSYQM) are two parallel methods to determine the spectra of a quantum mechanical systems without solving the Schr ̈odinger equation. It was recently shown that the shape invariance, which is an integrability condition in SUSYQM formalism, can be utilized to develop an iterative algorithm to determine the quantum momentum functions. In this paper, we show that shape invariance also suffices to determine the eigenvalues in Quantum Hamilton-Jacobi Theory.

AB - Quantum Hamilton-Jacobi Theory and supersymmetric quantum mechanics (SUSYQM) are two parallel methods to determine the spectra of a quantum mechanical systems without solving the Schr ̈odinger equation. It was recently shown that the shape invariance, which is an integrability condition in SUSYQM formalism, can be utilized to develop an iterative algorithm to determine the quantum momentum functions. In this paper, we show that shape invariance also suffices to determine the eigenvalues in Quantum Hamilton-Jacobi Theory.

KW - quantum physics

KW - Hamiltonian-Jacobi

KW - Schrodinger

UR - https://ecommons.luc.edu/physics_facpubs/39

U2 - 10.1016/j.physleta.2007.10.002

DO - 10.1016/j.physleta.2007.10.002

M3 - Article

VL - 372

JO - Physics: Faculty Publications and Other Works

JF - Physics: Faculty Publications and Other Works

IS - 9

ER -

Shape Invariance and the Exactness of Quantum Hamilton-Jacobi Formalism

Abstract

Keywords

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