Advances in One-Dimensional Wave Mechanics: Towards A Unified Classical View

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Springer Science & Business Media, Jan 16, 2014 - Science - 145 pages

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.

 

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Contents

Analogy Between Quantum Mechanics and Optics
1
Analytical Transfer Matrix Method
15
Semiclassical Approximation
27
Exact Quantization Condition via Analytical Transfer Matrix Method
47
Barrier Tunneling
75
The Scattered Subwaves
96
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