Reflection and transmission of material wave through an arbitrary potential barrier

Abstract

Abstract:

Based on the similarity between time-independent Schrödinger equation and Helmholtz equation, the analytical transfer matrix method was utilized to analyze macroscopic quantum tunneling effect, and the potential filed and engine valve were corresponded to the refractive index and propagation constant, respectively. Without solving the Schrödinger equation and any approximation, the exact analytic expressions of the reflection coefficient and reflection probability of the particle were obtained. Initial results show the equations obtained here are exact and have clear physical meanings. It is expected to be applied in the researches of many basic quantum phenomena, such as quantum tunneling effect, quantum reflection, quantum particles and tunneling resonance.

Key words: quantum optics, reflection probabilities, analytical transfer matrix method, guide-wave optics

CLC Number:

O413

XIAO Pingping，DENG Manlan. Reflection and transmission of material wave through an arbitrary potential barrier[J]. J4, 2011, 28(5): 534-539.

References

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