Quantum Hamilton-Jacobi Formalism
1st ed. 2022
Book Details
Format
Paperback / Softback
Book Series
SpringerBriefs in Physics
ISBN-10
3031106237
ISBN-13
9783031106231
Edition
1st ed. 2022
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Oct 6th, 2022
Print length
112 Pages
Ksh 8,100.00
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This book describes the Hamilton-Jacobi formalism of quantum mechanics, which allowscomputation of eigenvalues of quantum mechanical potential problems without solving for thewave function. The examples presented include exotic potentials such as quasi-exactly solvable models and Lame an dassociated Lame potentials.
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 thisas 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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