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Proceedings Paper

Dynamical tunneling in a system with non-monotonous potential and impenetrable walls
Author(s): Andrey T. Bagmanov; Andrey L. Sanin; Alexander A. Smirnovsky
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Paper Abstract

Dynamical tunneling of a quantum wave packet in the system with distributed potential and impenetrable walls is discussed. This potential is specified as algebraic difference of quadratic and cubed functions. It is limited on finite length and incorporates local minimum and maximum. Potential distribution in the vicinity of local minimum forms asymmetric well, and barrier originates into domain with maximum. Initial Gaussian wave packet is located into the potential minimum and tunneling comes through potential maximum. Numerical integration of Schrodinger equation was carried out at zero conditions on system walls. For high barrier, the wave packet oscillates in the well for a long time and its small portions passes through the barrier. If the barrier height is small, tunneling takes place in a short time interval. Expectation coordinate and field velocity, probability density at separate points as function of time, control of uncertainty relation and normalization condition were calculated in detail.

Paper Details

Date Published: 9 June 2006
PDF: 9 pages
Proc. SPIE 6253, Ninth International Workshop on Nondestructive Testing and Computer Simulations, 625303 (9 June 2006); doi: 10.1117/12.676299
Show Author Affiliations
Andrey T. Bagmanov, St. Petersburg State Polytechnical Univ. (Russia)
Andrey L. Sanin, St. Petersburg State Polytechnical Univ. (Russia)
Alexander A. Smirnovsky, St. Petersburg State Polytechnical Univ. (Russia)

Published in SPIE Proceedings Vol. 6253:
Ninth International Workshop on Nondestructive Testing and Computer Simulations
Alexander I. Melker, Editor(s)

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