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Quantum Hamilton-Jacobi formalism

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum Hamilton-Jacobi formalismby A. K. Kapoor, Prasanta K. Panigrahi, S. Sree Ranjani.
Author:	Kapoor, A. K.
other author:	Panigrahi, Prasanta K.
Published:	Cham :Springer International Publishing :2022.
Description:	xv, 112 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Hamilton-Jacobi equations.
Online resource:	https://doi.org/10.1007/978-3-031-10624-8
ISBN:	9783031106248$q(electronic bk.)

Quantum Hamilton-Jacobi formalism
Kapoor, A. K.

Quantum Hamilton-Jacobi formalism[electronic resource] /by A. K. Kapoor, Prasanta K. Panigrahi, S. Sree Ranjani. - Cham :Springer International Publishing :2022. - xv, 112 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in physics,2191-5431. - SpringerBriefs in physics..

The Quantum Hamilton Jacobi Formalism. - Exactly Solvable Models -- New Results on Singularities of QMF -- Rational Shape Invariant Extensions and Exceptional Polynomials -- QHJ in the Context of Other Related Work.

This book describes the Hamilton-Jacobi formalism of quantum mechanics, which allows computation of eigenvalues of quantum mechanical potential problems without solving for the wave function. The examples presented include exotic potentials such as quasi-exactly solvable models and Lame an dassociated Lame potentials. A careful application of boundary conditions offers an insight into the nature of solutions of several potential models. Advanced undergraduates having knowledge of complex variables and quantum mechanics will find this as an interesting method to obtain the eigenvalues and eigen-functions. The discussion on complex zeros of the wave function gives intriguing new results which are relevant for advanced students and young researchers. Moreover, a few open problems in research are discussed as well, which pose a challenge to the mathematically oriented readers.

ISBN: 9783031106248$q(electronic bk.)

Standard No.: 10.1007/978-3-031-10624-8doiSubjects--Topical Terms:

275723
Hamilton-Jacobi equations.

LC Class. No.: QA378

Dewey Class. No.: 530.12

Quantum Hamilton-Jacobi formalism
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505 0 $a The Quantum Hamilton Jacobi Formalism. - Exactly Solvable Models -- New Results on Singularities of QMF -- Rational Shape Invariant Extensions and Exceptional Polynomials -- QHJ in the Context of Other Related Work.
520 $a This book describes the Hamilton-Jacobi formalism of quantum mechanics, which allows computation of eigenvalues of quantum mechanical potential problems without solving for the wave function. The examples presented include exotic potentials such as quasi-exactly solvable models and Lame an dassociated Lame potentials. A careful application of boundary conditions offers an insight into the nature of solutions of several potential models. Advanced undergraduates having knowledge of complex variables and quantum mechanics will find this as an interesting method to obtain the eigenvalues and eigen-functions. The discussion on complex zeros of the wave function gives intriguing new results which are relevant for advanced students and young researchers. Moreover, a few open problems in research are discussed as well, which pose a challenge to the mathematically oriented readers.
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