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Semi‐classical formulation of time‐dependent discrete variable representation method
Author(s) -
Puzari Panchanan,
Adhikari Satrajit
Publication year - 2004
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.20095
Subject(s) - representation (politics) , quantum tunnelling , quantum , variable (mathematics) , perspective (graphical) , statistical physics , discrete variable , mathematics , quantum mechanics , computer science , physics , theoretical physics , mathematical analysis , geometry , politics , political science , law
In this article, we apply a novel time‐dependent discrete variable representation (TDDVR) method proposed by Barkakaty and Adhikari to investigate tunneling through an Eckart barrier. This semi‐classical method is theoretically rigorous and straightforward to implement. Among the TDDVR formulations, this report presents the first derivation of a rigorous form of quantum force (QF) for the present perspective. The validity of this semi‐classical approach is demanded based on the excellent agreement of the tunneling probability with the corresponding quantum results. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2004