DERIVATION OF EVOLUTION WAVE PACKETS BASED ON SCATTERING WAVE FUNCTIONS FOR ONE DIMENSIONAL POTENTIAL

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Published: 2015-12-25

Page: 229-240


A. ZH. KHACHATRIAN *

State Engineering University of Armenia, Teryan 105, Yerevan, Armenia.

D. R. VOSKANYAN

State Engineering University of Armenia, Teryan 105, Yerevan, Armenia.

V. A. KHOECYAN

State Engineering University of Armenia, Teryan 105, Yerevan, Armenia.

*Author to whom correspondence should be addressed.


Abstract

In this work a wave process evolution problem in a field of an arbitrary one-dimensional potential is considered. We investigate the wave packets derived based on linear combinations of scattering wave functions taken with magnitudes of state indexes near to resonance tunneling case. It is shown that the wave processes with different parities of asymptotes describe a wave process where the group and phase velocities have opposite directions. The conducted consideration allows to state that the bound states can be interpreted as wave packets of the scattering wave functions to be derived under a certain way.

Keywords: Wave process evolution, resonance tunneling


How to Cite

KHACHATRIAN, A. Z., VOSKANYAN, D. R., & KHOECYAN, V. A. (2015). DERIVATION OF EVOLUTION WAVE PACKETS BASED ON SCATTERING WAVE FUNCTIONS FOR ONE DIMENSIONAL POTENTIAL. Journal of Applied Physical Science International, 5(4), 229–240. Retrieved from https://ikprress.org/index.php/JAPSI/article/view/3246

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