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The analytical transfer matrix method for quantum reflection |
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| Authors: | Xu Tian Cao Zhuang-Qi and Fang Jing-Huai |
| Institution: | Physics Department, Nantong University, Nantong 226001, China; Institute of Optics and Photonics, Shanghai Jiao Tong University, Shanghai 200240, China |
| Abstract: | In this paper, the analytical transfer matrix method (ATMM) is applied to study the properties of quantum reflection in three systems: a sech$^{2}$ barrier, a ramp potential and an inverse harmonic oscillator. Our results agree with those obtained by Landau and Lifshitz Landau L D and Lifshitz E M 1977 \wx{Quantum Mechanics (Non-relativistic Theory)}{} (New York: Pergamon)], which proves that ATMM is a simple and effective method for quantum reflection. |
| Keywords: | analytical transfer matrix method quantum reflection reflection coefficient transmission coefficient reflection time |
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