Topic
Coherent states in mathematical physics
About: Coherent states in mathematical physics is a research topic. Over the lifetime, 732 publications have been published within this topic receiving 32024 citations.
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TL;DR: In this paper, the authors established some properties of the states interpolating between number and coherent states denoted by |nλ; among them, the reproduction of these states by the action of an operator-valued function on |n (the standard Fock space) and the fact that they can be regarded as f-deformed coherent bound states.
Abstract: We establish some of the properties of the states interpolating between number and coherent states denoted by |nλ; among them are the reproduction of these states by the action of an operator-valued function on |n (the standard Fock space) and the fact that they can be regarded as f-deformed coherent bound states. In this paper we use them as the basis of our new Fock space which in this case is not orthogonal but normalized. Then by some special superposition of them we obtain new representations for coherent and squeezed states in the new basis. Finally the statistical properties of these states are studied in detail.
26 citations
TL;DR: In this article, the problem of reconstruction of density operators of quantum states from propensities, i.e. generalized quasiprobability density distributions obtained by quantum filtering, is studied.
Abstract: We focus our attention on the problem of reconstruction of density operators of quantum states from propensities, i.e. generalized quasiprobability density distributions obtained by quantum filtering. We consider propensities obtained by filtering with pure Gaussian as well as non-Gaussian states and we present two examples: when the filter is in a squeezed coherent state and in a Fock state, respectively. We also show that even in the case of filtering with statistical mixtures a complete reconstruction of a density operator of the measured quantum state can be performed.
25 citations
TL;DR: In this article, the authors describe connections between the localization technique introduced by I. B. Simonenko and operator covariant transform produced by nilpotent Lie groups, and show how the two techniques can be combined.
Abstract: We describe connections between the localization technique introduced by I. B. Simonenko and operator covariant transform produced by nilpotent Lie groups.
25 citations
TL;DR: In this article, the authors use the formulation of the quantum mechanics of first-quantized Klein-Gordon fields given in the first series of this series of papers to study relativistic coherent states.
25 citations
TL;DR: In this paper, a generalized deformation of the su(2) algebra and a scheme for constructing associated spin coherent states is developed, and the problem of resolving the unity operator in terms of these states is addressed and solved for some particular cases.
Abstract: A generalized deformation of the su(2) algebra and a scheme for constructing associated spin coherent states is developed. The problem of resolving the unity operator in terms of these states is addressed and solved for some particular cases. The construction is carried using a deformation of Holstein-Primakoff realization of the su(2) algebra. The physical properties of these states is studied through the calculation of Mandel’s parameter.
25 citations