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Generalised virial theorems in classical and quantum physics

Abstract:
Generalisations of the virial theorm in Classical Mechanics and Quantum Mechanics are examined. It is shown that the generalised virial theorem in Quantum Mechanics leads to certain relations between matrix elements. The differences between the generalisations in Classical and Quantum Mechanics are identified. Some results arising from the radial Schrodinger equation in Quantum Mechanics are discussed. It is also shown that the generalisations of the virial theorem may be extended to arbitrary number of dimensions.
Publication status:
Published
Peer review status:
Not peer reviewed

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Publisher copy:
10.48550/arXiv.1410.5592

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Oxford college:
Wadham College
Role:
Author


Host title:
arXiv
Publication date:
2014-10-21
DOI:


Language:
English
Pubs id:
pubs:487376
UUID:
uuid:a3a154f3-9f26-4195-ae0a-51b3aa48d6e9
Local pid:
pubs:487376
Source identifiers:
487376
Deposit date:
2014-10-24

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