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Tunneling in asymmetric double-well potentials

J. Chem. Phys. 74, 2419 (1981); doi:10.1063/1.441364

Issue Date: 15 February 1981

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J. H. Weiner and Simon T. Tse
Division of Engineering, Brown University, Providence, Rhode Island 02912
Methods previously developed for the case of a symmetric double-well potential are here extended to study tunneling in an asymmetric, piecewise harmonic, double-well potential. The approach involves the decomposition of the real stationary states into complex right- and left-moving states and the determination of exact transmission coefficients for the latter. Numerical solutions for a selection of representative parameter values are obtained for the time evolution of states which correspond initially to a Gaussian wave packet localized in the upper well. Both resonant and nonresonant cases are studied and the significance of the transmission coefficient is established for each. The Journal of Chemical Physics is copyrighted by The American Institute of Physics.
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KEYWORDS and PACS

Keywords
PACS
  • 03.65.-w
    Classical and quantum physics; mechanics and fields Quantum theory; quantum mechanics
  • YEAR: 1981

PUBLICATION DATA

ISSN:
0021-9606 (print)   1089-7690 (online)
Publisher:
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REFERENCES (28)
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