Abstract
It is shown by dimensional analysis that Pauli's ground-state-energy theorem, which expresses the ground-state energy in the form of a coupling-constant integration of the potential energy, and the virial theorem are equivalent for a many-particle system interacting with a homogeneous interparticle potential ($\ensuremath{\propto}{r}^{l}$) in arbitrary ($d$) dimensions. The finite-temperature case is also discussed.
Keywords
Virial theoremGround statePhysicsVirial coefficientEnergy (signal processing)Pauli exclusion principleMathematical physicsCoupling constantState (computer science)Quantum mechanicsMathematics
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Publication Info
- Year
- 1984
- Type
- article
- Volume
- 30
- Issue
- 5
- Pages
- 2597-2601
- Citations
- 10
- Access
- Closed
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Cite This
Naoki Iwamoto
(1984).
Ground-state-energy theorem and the virial theorem of a many-particle system in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>dimensions.
Physical review. A, General physics
, 30
(5)
, 2597-2601.
https://doi.org/10.1103/physreva.30.2597
Identifiers
- DOI
- 10.1103/physreva.30.2597