Quantum Hamilton-Jacobi formalism / A.K. Kapoor, Prasanta K. Panigrahi, S. Sree Ranjani.
Kapoor, A. K., author.; Panigrahi, Prasanta K., author.; Ranjani, S. Sree, author.
2022
QA378
Available Online

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Title Quantum Hamilton-Jacobi formalism / A.K. Kapoor, Prasanta K. Panigrahi, S. Sree Ranjani.
Author Kapoor, A. K., author.
ISBN 9783031106248 (electronic bk.)
3031106245 (electronic bk.)
9783031106231
3031106237
DOI https://doi.org/10.1007/978-3-031-10624-8
Published Cham : Springer, [2022]
Copyright ©2022
Language English
Description 1 online resource (xv, 112 pages) : illustrations (some color).
Item Number 10.1007/978-3-031-10624-8 doi
Call Number QA378
Dewey Decimal Classification 530.12
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed October 17, 2022).
Added Author Panigrahi, Prasanta K., author.
Ranjani, S. Sree, author.
Series SpringerBriefs in physics.
Available in Other Form Print version: 9783031106231
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The Quantum Hamilton Jacobi Formalism. - Exactly Solvable Models
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QHJ in the Context of Other Related Work.

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