Equivalence of $q$-bosons using the exponential phase operator

Abstract

Various forms of the $q$-boson are explained and their hidden symmetry revealed by transformations using the exponential phase operator. Both the one-component and the multicomponent $q$-bosons are discussed. As a byproduct, we obtain a new boson algebra having a shifted vacuum structure and define a global operatal $U(1)$ gauge transformation.

18 pages, LaTex(run twice), To appear in J. PHys. A

References in corpus (4)

• Mastering the Master Field
• Phase Operator for the Photon Field and an Index Theorem
• The Master Field for Large $N$ Matrix Models and Quantum Groups
• Deformed Algebras from Inverse Schwinger Method