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Quantum Hamilton-Jacobi formalism

Kapoor, A. K.

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Quantum Hamilton-Jacobi formalism

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum Hamilton-Jacobi formalism/ by 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.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Hamilton-Jacobi equations. -
Online resource:	https://doi.org/10.1007/978-3-031-10624-8
ISBN:	9783031106248

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

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

811866
Hamilton-Jacobi equations.

LC Class. No.: QA378

Dewey Class. No.: 530.12

Quantum Hamilton-Jacobi formalism
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100 1 $a Kapoor, A. K. $3 1306052
245 1 0 $a Quantum Hamilton-Jacobi formalism $h [electronic resource] / $c by A. K. Kapoor, Prasanta K. Panigrahi, S. Sree Ranjani.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a xv, 112 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a SpringerBriefs in physics, $x 2191-5431
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.
650 0 $a Hamilton-Jacobi equations. $3 811866
650 0 $a Quantum theory. $3 516552
650 1 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a Functions of a Complex Variable. $3 897310
650 2 4 $a Applications of Mathematics. $3 890893
700 1 $a Panigrahi, Prasanta K. $3 3608035
700 1 $a Ranjani, S. Sree. $3 3608036
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in physics. $3 1314314
856 4 0 $u https://doi.org/10.1007/978-3-031-10624-8
950 $a Physics and Astronomy (SpringerNature-11651)