Advances in One-Dimensional Wave Mechanics

Towards A Unified Classical View

Authors: Cao, Zhuangqi, Yin, Cheng

  • 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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  • ISBN 978-3-662-51333-0
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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)


Table of contents (6 chapters)

  • Analogy Between Quantum Mechanics and Optics

    Cao, Zhuangqi (et al.)

    Pages 1-14

  • Analytical Transfer Matrix Method

    Cao, Zhuangqi (et al.)

    Pages 15-26

  • Semiclassical Approximation

    Cao, Zhuangqi (et al.)

    Pages 27-45

  • Exact Quantization Condition via Analytical Transfer Matrix Method

    Cao, Zhuangqi (et al.)

    Pages 47-73

  • Barrier Tunneling

    Cao, Zhuangqi (et al.)

    Pages 75-95

Buy this book

eBook $84.99
price for USA (gross)
  • ISBN 978-3-642-40891-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-642-40890-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-3-662-51333-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Advances in One-Dimensional Wave Mechanics
Book Subtitle
Towards A Unified Classical View
Authors
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Shanghai Jiao Tong University Press, Shanghai and Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-40891-5
DOI
10.1007/978-3-642-40891-5
Hardcover ISBN
978-3-642-40890-8
Softcover ISBN
978-3-662-51333-0
Edition Number
1
Number of Pages
IX, 145
Number of Illustrations and Tables
45 b/w illustrations, 3 illustrations in colour
Additional Information
Jointly published with Shanghai Jiao Tong University Press, Shanghai, China
Topics