Overview
- Unique compendium of the current state of research on quantum wave equations in higher dimensions in the framework of non-relativistic and relativistic quantum mechanics
- Gives scientists a fresh outlook on quantum systems in all branches of physics
- Contains an extensive bibliographic list of all widely scattered publications in this field
- Includes supplementary material: sn.pub/extras
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Table of contents (18 chapters)
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Front Matter
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Introduction
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Front Matter
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Applications in Non-relativistic Quantum Mechanics
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Front Matter
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Applications in Relativistic Quantum Mechanics
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Front Matter
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Keywords
- High dimension quantum theory
- Higher dimensional quantum theory
- Kaluza-Klein theory high dimensions
- Levinson theorem
- Quantum theory relativity combine
- hypervirial theorem high dimensions
- quantum wave equation
- quantum wave equation high dimension
- quantum wave equation higher dimension
- quantum wave equations
About this book
In Parts I and II the basic properties of the SO(n) group are reviewed and basic theories and techniques related to wave equations in higher dimensions are introduced. Parts III and IV cover important quantum systems in the framework of non-relativistic and relativistic quantum mechanics in terms of the theories presented in Part II. In particular, the Levinson theorem and the generalized hypervirial theorem in higher dimensions, the Schrödinger equation with position-dependent mass and the Kaluza-Klein theory in higher dimensions are investigated. In this context, the dependence of the energy levels on the dimension is shown. Finally, Part V contains conclusions, outlooks and an extensive bibliography.
Reviews
“Wave Equations in Higher Dimensions is a well-written, comprehensive and self-contained book which is designed for graduate students and researchers in physics and mathematics. … The author succeeds in fluently presenting the necessary and important material on the subject.” (Dogan Demirhan, Mathematical Reviews, June, 2017)
Authors and Affiliations
Bibliographic Information
Book Title: Wave Equations in Higher Dimensions
Authors: Shi-Hai Dong
DOI: https://doi.org/10.1007/978-94-007-1917-0
Publisher: Springer Dordrecht
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media B.V. 2011
Hardcover ISBN: 978-94-007-1916-3Published: 09 July 2011
Softcover ISBN: 978-94-017-8230-2Published: 21 November 2014
eBook ISBN: 978-94-007-1917-0Published: 09 July 2011
Edition Number: 1
Number of Pages: XXV, 295
Topics: Quantum Physics, Classical and Quantum Gravitation, Relativity Theory, Difference and Functional Equations