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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...

    Pawel Blasiak, Karol A. Penson, Allan I. Solomon in Letters in Mathematical Physics (2004)

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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.

    Jacob Katriel, Mario Rasetti, Allan I. Solomon in Letters in Mathematical Physics (1996)

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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...

    Allan I. Solomon, Joseph L. Birman in Symmetries in Science VII (1993)

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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...

    Allan I. Solomon in Symmetries in Science VI (1993)

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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...

    Allan I. Solomon in Group Theoretical Methods in Physics (1983)