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Ground-state-energy theorem and the virial theorem of a many-particle system in d dimensionsThe equivalence of Pauli's ground-state-energy theorem and the virial theorem is demonstrated for a many-particle system interacting with an interparticle potential in d dimensions at zero and finite temperatures. Pauli's theorem has an integral form in which the variable is the coupling constant e-squared, while the virial theorem has a differential form in which the variable has the number density n. The essence of the equivalence proof consists in changing the variable from n to e-squared by noting the dependence of the excess free energy on dimensionless quantities for zero-temperature and classical cases.
Document ID
19850032070
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Iwamoto, N.
(Washington University St. Louis, MO; California, University, Santa Barbara, CA, United States)
Date Acquired
August 12, 2013
Publication Date
November 1, 1984
Publication Information
Publication: Physical Review A - General Physics, 3rd Series
Volume: 30
ISSN: 0556-2791
Subject Category
Thermodynamics And Statistical Physics
Accession Number
85A14221
Funding Number(s)
CONTRACT_GRANT: NSF DMR-82-15128
CONTRACT_GRANT: NSF DMR-83-04213
CONTRACT_GRANT: NSF PHY-80-25605
CONTRACT_GRANT: NSF PHY-77-27084
Distribution Limits
Public
Copyright
Other

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