A complete and orthonormal representation in two-mode fock space gained bytwo-variable hermite polynomials

Authors
Fan, HY Zou, H Fan, Y
Citation
Hy. Fan et al., A complete and orthonormal representation in two-mode fock space gained bytwo-variable hermite polynomials, INT J MOD P, 16(3), 2001, pp. 369-375
Citations number
6
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
ISSN journal
0217751X → ACNP
Volume
16
Issue
3
Year of publication
2001
Pages
369 - 375
Database
ISI
SICI code
0217-751X(20010130)16:3<369:ACAORI>2.0.ZU;2-9
Abstract
In terms of the two-variable Hermite polynomials' properties we derive the common eigenstates \q, lambda] of two permutable operators (a(dagger) + b)( a + b(dagger)) and a(dagger)a - b(dagger)b, where q is discrete and lambda is continuous. These states constitute a complete and orthonormal represent ation. Applications of the \q, lambda] are discussed.