Quantum Hamilton-Jacobi formalism
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 variab…
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- Full title :Quantum Hamilton-Jacobi formalism / A.K. Kapoor, Prasanta K. Panigrahi, S. Sree Ranjani.
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.
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- Publication Date:©2022
Publication Statements
- Publisher(s):Springer
- Place of Publication:Cham
- Language:eng
- Publication Date:©2022
The Physical Object
- Description:1 online resource (xv, 112 pages) : : illustrations (some color).
Edition Identifiers
- ISBN:9783031106248, 3031106245
- DOI:10.1007/978-3-031-10624-8
- oclc:on1347019669
- LC Classification:QA378
- Dewey Decimal:530.12
Table of Contents
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.
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