The analytical transfer matrix method for quantum reflection
许田, Cao Zhuang-Qi, Fang Jing-Huai
Abstract
许田, Cao Zhuang-Qi, Fang Jing-Huai
Abstract
In this paper, the analytical transfer matrix method (ATMM) is applied to study the properties of quantum reflection in three systems: a sech2 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 Quantum Mechanics (Non-relativistic Theory) (New York: Pergamon)], which proves that ATMM is a simple and effective method for quantum reflection.
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In this paper, the analytical transfer matrix method (ATMM) is applied to study the properties of quantum reflection in three systems: a sech2 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 Quantum Mechanics (Non-relativistic Theory) (New York: Pergamon)], which proves that ATMM is a simple and effective method for quantum reflection.
Key concepts: Reflection (computer programming), Transfer matrix, Transfer-matrix method (optics), Physics, Harmonic oscillator, Quantum, Quantum mechanics, Matrix (chemical analysis)