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Tunneling dynamics of one‐ and two‐dimensional cubic oscillators with randomly fluctuating harmonic force constants: A numerical experiment
Author(s) -
Sarkar Pranab,
Bhattacharyya S. P.
Publication year - 1997
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/(sici)1097-461x(1997)64:4<403::aid-qua2>3.0.co;2-#
Subject(s) - force constant , harmonic oscillator , quantum tunnelling , harmonic , dynamics (music) , physics , classical mechanics , quantum mechanics , statistical physics , molecule , acoustics
The tunneling dynamics of one‐ and two‐dimensional cubicoscillators having randomly fluctuating harmonic force constants( K t ) are studied numerically by invoking thetime‐dependent Fourier grid Hamiltonian method. The influence of thefrequency and strength of the fluctuation on the tunneling probability andtunneling rate is analyzed. The predicted nature of the influence dependsupon whether the cubic oscillator is one‐ or two‐dimensional. Thepossibility of mapping the proton‐transfer systems onto the present modelis explored. © 1997 John Wiley & Sons, Inc. Int J Quant Chem 64 : 403–409, 1997