Exactly Solvable Systems and the Quantum Hamilton Jacobi Formalism

C. Rasinariu; John J. Dykla; Asim Gangopadhyaya; Jeffrey Mallow

doi:10.1016/j.physleta.2005.03.012

Exactly Solvable Systems and the Quantum Hamilton Jacobi Formalism

C. Rasinariu, John J. Dykla, Asim Gangopadhyaya, Jeffrey Mallow

Department of Physics

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

Abstract

We connect Quantum Hamilton-Jacobi Theory with supersymmetric quantum mechanics (SUSYQM). We show that the shape invariance, which is an integrability condition of SUSYQM, translates into fractional linear relations among the quantum momentum functions.

Original language	American English
Journal	Physics: Faculty Publications and Other Works
Volume	338
DOIs	https://doi.org/10.1016/j.physleta.2005.03.012
State	Published - Jan 11 2005

Keywords

supersymmetry
quantum physics

Disciplines

Physics
Quantum Physics

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title = "Exactly Solvable Systems and the Quantum Hamilton Jacobi Formalism",

abstract = " We connect Quantum Hamilton-Jacobi Theory with supersymmetric quantum mechanics (SUSYQM). We show that the shape invariance, which is an integrability condition of SUSYQM, translates into fractional linear relations among the quantum momentum functions.",

keywords = "supersymmetry, quantum physics",

author = "C. Rasinariu and Dykla, {John J.} and Asim Gangopadhyaya and Jeffrey Mallow",

note = "Rasinariu, C, J Dykla, A Gangopadhyaya, and J Mallow. {"}Exactly solvable systems and the quantum Hamilton Jacobi formalism.{"} http://arxiv.org/pdf/hep-th/0501084.pdf",

year = "2005",

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language = "American English",

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T1 - Exactly Solvable Systems and the Quantum Hamilton Jacobi Formalism

AU - Rasinariu, C.

AU - Dykla, John J.

AU - Gangopadhyaya, Asim

AU - Mallow, Jeffrey

N1 - Rasinariu, C, J Dykla, A Gangopadhyaya, and J Mallow. "Exactly solvable systems and the quantum Hamilton Jacobi formalism." http://arxiv.org/pdf/hep-th/0501084.pdf

PY - 2005/1/11

Y1 - 2005/1/11

N2 - We connect Quantum Hamilton-Jacobi Theory with supersymmetric quantum mechanics (SUSYQM). We show that the shape invariance, which is an integrability condition of SUSYQM, translates into fractional linear relations among the quantum momentum functions.

AB - We connect Quantum Hamilton-Jacobi Theory with supersymmetric quantum mechanics (SUSYQM). We show that the shape invariance, which is an integrability condition of SUSYQM, translates into fractional linear relations among the quantum momentum functions.

KW - supersymmetry

KW - quantum physics

UR - https://ecommons.luc.edu/physics_facpubs/36

U2 - 10.1016/j.physleta.2005.03.012

DO - 10.1016/j.physleta.2005.03.012

M3 - Article

VL - 338

JO - Physics: Faculty Publications and Other Works

JF - Physics: Faculty Publications and Other Works

ER -

Exactly Solvable Systems and the Quantum Hamilton Jacobi Formalism

Abstract

Keywords

Disciplines

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