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Solution of the “Classical” Schrödinger equation for a driven symmetric triple well: A comparison with its classical counterpart
Author(s) -
Kar Susmita,
Kumar Chattaraj Pratim
Publication year - 2016
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.25161
Subject(s) - hamiltonian (control theory) , phase space , classical mechanics , fourier transform , physics , symmetry (geometry) , schrödinger equation , quantum mechanics , mathematical physics , mathematical analysis , mathematics , geometry , mathematical optimization
The behavior of a driven symmetric triple well potential has been studied by developing an algorithm where the well‐established Bohmian mechanics and time‐dependent Fourier Grid Hamiltonian method are incorporated and the quantum theory of motion (QTM) phase space structures of the particle are constructed, both in “nonclassical” and “classical” limits. Comparison of QTM phase space structures with their classical analogues shows both similarity as well as dissimilarities. The temporal nature and the spatial symmetry of applied perturbation play crucial roles in having similar phase space structures. © 2016 Wiley Periodicals, Inc.