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Physics - Quantum Physics | Advances in One-Dimensional Wave Mechanics - Towards A Unified Classical View

Advances in One-Dimensional Wave Mechanics

Towards A Unified Classical View

Cao, Zhuangqi, Yin, Cheng

Jointly published with Shanghai Jiao Tong University Press, Shanghai, China

2014, IX, 145 p. 48 illus., 3 illus. in color.

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  • 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

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.

Content Level » Research

Keywords » ATM Method - Analytical Transfer Matrix Method - Barrier Tunneling - Quantum Mechanics - Quantum Reflection - Scattered Sub-Waves - Scattering Time - Solutions of Wave Equations - Wave-Particle Duality

Related subjects » Atomic, Molecular, Optical & Plasma Physics - Quantum Physics - Theoretical, Mathematical & Computational Physics

Table of contents 

Analogy between Quantum Mechanics and Optics.- Analytical Transfer Matrix method.- Semiclassical Approximation.- Exact Quantization Condition via Analytical Transfer Matrix method.- Barrier Tunneling.- The Scattered Subwaves.

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