PARASTATISTICS AND UNIQUANTIZATION

Autor(es)

Markov, Yu. A. ^[1] ; Markova, M. A. ^[1] ; Gitman, D. M. ^{[2, 3, 4]} ; Bondarenko, A. I. ^[1]

Afiliação do(s) autor(es)

^[1] Russian Acad Sci, VM Matrosov Inst Syst Dynam & Control Theory, Siberian Branch, Irkutsk - Russia

^[2] Univ Sao Paulo, Inst Phys, Sao Paulo - Brazil

^[3] Russian Acad Sci, PN Lebedev Phys Inst, Moscow - Russia

^[4] Natl Res Tomsk State Univ, Tomsk - Russia

• Tipo de documento: Artigo Científico
• Fonte: Russian Physics Journal; v. 61, n. 10, p. 1806-1818, FEB 2019.
• Citações Web of Science: 0

Resumo

A connection between the scheme of unitary quantization (uniquantization) and para-Fermi statistics of order 2 is considered. An appropriate generalization of the Green's ansatz is suggested based on incorporation of the additional operator Omega which allows one to transform into the identity the bilinear and trilinear commutation relations of unitary quantization for the creation and annihilation operators of two different para-Fermi fields phi(a) and phi(b). The way of incorporating para-Grassmann variables xi(k) into the general scheme of unitary quantization necessary for the definition of coherent states is suggested. For parastatistics of order 2, the new fact of existence of two alternative definitions of the coherent state for the para-Fermi oscillators is established. (AU)

• Processo FAPESP: 16/03319-6 - Métodos não perturbativos em teoria quântica e em TQC e aplicações deles aos problemas de física atuais
• Beneficiário: Dmitri Maximovitch Guitman
• Modalidade de apoio: Auxílio à Pesquisa - Temático