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Quantum tunneling process for double well potential
Author(s) -
Wang Lifei,
Zhang Qin,
Xu Feng,
Cui XiaoDong,
Zheng Yujun
Publication year - 2015
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.24818
Subject(s) - phase space , quantum tunnelling , wave packet , quantum , trajectory , physics , quantum mechanics , gaussian , quantum state , independence (probability theory) , wave function , statistical physics , mathematics , statistics
Quantum tunneling effects of Gaussian wave packet in one‐ and two‐dimensional double well potentials are investigated using quantum Liouville equation for time evolution of Wigner distribution ρ ( q , p , t ) in phase space. It is shown that a trajectory‐based solution of this problem can be constructed by the entangled trajectory ensemble simulating the evolving quantum state. Quantum effects arise in this approach as a breakdown of the statistical independence of the trajectory ensemble. © 2014 Wiley Periodicals, Inc.