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Confined systems and the modified virial theorem from semiclassical considerations
Author(s) -
Mukhopadhyay S.,
Bhattacharyya K.
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.20220
Subject(s) - semiclassical physics , virial theorem , virial coefficient , simple (philosophy) , quantum , yield (engineering) , physics , quantum mechanics , statistical physics , mathematical physics , classical mechanics , theoretical physics , thermodynamics , philosophy , epistemology , galaxy
We show that two simple semiclassical strategies, one based on the Wilson–Sommerfeld rule and the other on the uncertainty principle, yield the exact modified form of the virial theorem for confined systems. An alternative, easier quantum mechanical route to arrive at this result is also sketched. Pilot calculations on confined oscillators reveal decisive trends. © 2004 Wiley Periodicals, Inc. Int J Quantum Chem, 2005