Quantum Hamilton-Jacobi formalism / A.K. Kapoor, Prasanta K. Panigrahi, S. Sree Ranjani.

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Quantum Hamilton-Jacobi formalism / A.K. Kapoor, Prasanta K. Panigrahi, S. Sree Ranjani.

9783031106248 (electronic bk.)
3031106245 (electronic bk.)
9783031106231
3031106237

Cham : Springer, [2022]

©2022

English

1 online resource (xv, 112 pages) : illustrations (some color).

10.1007/978-3-031-10624-8 doi

QA378

530.12

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed October 17, 2022).

SpringerBriefs in physics.

Print version: 9783031106231

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