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Article
Combinatorial Coherent States via Normal Ordering of Bosons
We construct and analyze a family of coherent states built on sequences of integers originating from the solution of the boson normal ordering problem. These sequences generalize the conventional combinatorial...
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Article
The q-Zassenhaus formula
A q-deformed analogue of the Zassenhaus formula, expressing the q-exponential of a sum of two noncommuting operators in terms of an infinite product of q-exponentials, is introduced.
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Chapter
Spectrum Generating q-Algebras for Anyons
We review some of the uses of the spectrum generating algebra approach using conventional Lie algebras applied to exactly solvable many-body models. We compare these to the possible applications of spectrum ge...
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Chapter
Quantum Group Analogues of Squeezed States
It gives me great pleasure to dedicate this paper to Larry Biedenharn on his 70th birthday. As Chairman of the International Colloquium on Group Theoretical methods in Physics for some years now, Larry has bee...
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Chapter and Conference Paper
Dynamical groups and coexistence phenomena
This note describes an application of dynamical Lie groups to many body systems exhibiting phase transitions. The specific model exemplified is that of a three-phase many fermion system for which the appropria...