Authors
Citation
N. Fleury et A. Turbiner, POLYNOMIAL RELATIONS IN THE HEISENBERG ALGEBRA, Journal of mathematical physics, 35(11), 1994, pp. 6144-6149
Citations number
10
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
ISSN journal
00222488
Volume
35
Issue
11
Year of publication
1994
Pages
6144 - 6149
Database
ISI
SICI code
0022-2488(1994)35:11<6144:PRITHA>2.0.ZU;2-N
Abstract
Polynomial relations between the generators of the classical and quant
um Heisenberg algebras are presented. Some of those relations can have
the meaning of the formulas of the normal ordering for the creation/a
nnihilation operators which occur in the method of the second quantiza
tion. Polynomial relations of a special type invariant under quantizat
ion and q deformation are discovered.