Overview
- Introduces a completely new concept of the scattered sub-waves via the Analytical Transfer Matrix (ATM) method
- Develops a relatively simple method to accurately solve one-dimensional problems in quantum mechanics
- Based on the analogy between the Quantum Mechanics and Electromagnetism, several interesting issues in quantum mechanics, such as tunneling, quantum reflection and scattering time are restudied
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Table of contents (6 chapters)
Keywords
About this book
Advances in One-Dimensional Wave Mechanics provides a comprehensive description of the motion of microscopic particles in one-dimensional, arbitrary-shaped potentials based on the analogy between Quantum Mechanics and Electromagnetism. Utilizing a deeper understanding of the wave nature of matter, this book introduces the concept of the scattered sub-waves and a series of new analytical results using the Analytical Transfer Matrix (ATM) method. This work will be useful for graduate students majoring in physics, mainly in basic quantum theory, as well as for academic researchers exploring electromagnetism, particle physics, and wave mechanics and for experts in the field of optical waveguide and integrated optics.
Prof. Zhuangqi Cao is a Professor of Physics at Shanghai Jiao Tong University, China.
Dr. Cheng Yin is a teacher at Jiangsu Key Laboratory of Power Transmission and Distribution Equipment Technology, Hohai University, China.
Reviews
From the book reviews:
“The motion of microscopic particles in one-dimensional, arbitrary-shaped potentials is studied in this book by using the analogy between the quantum mechanics and the electromagnetism theory. … The book is of interest for graduate students learning quantum theory and for researchers in electromagnetism, and in particular in the field of optical waveguide and integrated optics.” (Gheorghe Zet, zbMATH, Vol. 1297, 2014)
Authors and Affiliations
Bibliographic Information
Book Title: Advances in One-Dimensional Wave Mechanics
Book Subtitle: Towards A Unified Classical View
Authors: Zhuangqi Cao, Cheng Yin
DOI: https://doi.org/10.1007/978-3-642-40891-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Shanghai Jiao Tong University Press, Shanghai and Springer-Verlag Berlin Heidelberg 2014
Hardcover ISBN: 978-3-642-40890-8Published: 28 January 2014
Softcover ISBN: 978-3-662-51333-0Published: 23 August 2016
eBook ISBN: 978-3-642-40891-5Published: 16 January 2014
Edition Number: 1
Number of Pages: IX, 145
Number of Illustrations: 45 b/w illustrations, 3 illustrations in colour
Additional Information: Jointly published with Shanghai Jiao Tong University Press, Shanghai, China
Topics: Quantum Physics, Mathematical Methods in Physics, Quantum Optics