Published December 1981
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Para-bosons and para-fermions in quantum mechanics
Description
Within the framework of the ordinary quantum mechanics, a detailed study of the energy eigenfunctions of N identical particles using the irreducible representations of the permutation group in the Hilbert space has been performed. It is shown that the para-states, as occurs with the boson and fermion states, are compatible with the postulates of quantum mechanics and with the principle of indistinguishability. A mathematical support for the existence of para-bosons and para-fermions is given and in a certain sense, Gentile's quantum statistics is justified. (Author)
Availability note (English)
MF available from INIS under the Report Number.Abstract (Portuguese)
Faz-se, dentro das bases da mecanica quantica comum, um estudo detalhado das autofuncoes de energia de N particulas identicas usando, as representacoes irredutiveis do grupo de permutacao no espaco de Hilbert. Mostra-se, que os para-estados, como ocorre com os estados do boson e do fermin, sao compativeis com os postulados da mecanica quantica e com o principio de indistinguibilidade. Da-se um suporte matematico para a existencia de para-bosons e para-fermious e justifica-se, num certo sentido, a estatistica quantica de Gentile. (L.C.)Files
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Additional details
Publishing Information
- Imprint Pagination
- 20 p.
- Report number
- IFUSP-P--306
INIS
- Country of Publication
- Brazil
- Country of Input or Organization
- Brazil
- INIS RN
- 14784338
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- EIGENVALUES; HILBERT SPACE; IRREDUCIBLE REPRESENTATIONS; MANY-BODY PROBLEM; PARASTATISTICS; QUANTUM MECHANICS
- Descriptors DEC
- BANACH SPACE; MATHEMATICAL SPACE; MECHANICS; SPACE