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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...
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Chapter and Conference Paper
Phase coexistence in many-fermion systems
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Chapter and Conference Paper
Dynamical su(8) for phase-coexistence: Thermodynamics of an so(4) × so(4) submodel
We review a scheme for describing a multi-phase interacting system of electrons within the dynamical algebra su(8): we discuss the thermodynamics of a submodel which incorporates the relevant physics, and has ...
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Chapter and Conference Paper
Self-consistency and supersymmetry in a many fermion system
We show that, in the context of a specific simple model whose dynamical algebra is a Lie superalgebra, the thermodynamic self-consistent fermionic diagonalization condition is equivalent to supersymmetry.
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Chapter
The Fermi-Linearized Hubbard Model: Dimer Ground State
The zero temperature ground state for a Hubbard model is constructed, in the frame of fermionic linearization, for a two-site (dimer) cluster, in the form of a supercoherent state of the dynamical superalgebra...
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Article
Exotic optics states and quantum groups
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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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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
Optimal Signal-to-Quantum Noise Ratio in Squeezed Displaced Number States
For an arbitary quantum state of radiation with frequency the optimum signal-to-quantum noise ratio for fixed energy (or power per unit frequency) hωN 3 has the value 4N
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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
Normal Ordering and Abnormal Nonsense
The technique of the normal ordering of non-commuting operators is an important tool in the solution of problems involving creation and annihilation operators in quantum physics, such as in many-body theory or...
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Chapter and Conference Paper
Independence of Hyperlogarithms over Function Fields via Algebraic Combinatorics
We obtain a necessary and sufficient condition for the linear independence of solutions of differential equations for hyperlogarithms. The key fact is that the multiplier (i.e. the factor M in the differential eq...
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Article
Quantum control of two-qubit entanglement dissipation
We investigate quantum control of the dissipation of entanglement under environmental decoherence. We show by means of a simple two-qubit model that standard control methods – coherent or openloop control – wi...
