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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 article, two classes of nonlinear coherent states were constructed using an exponential function of intensity of radiation field, where the nonlinearity function is defined as f(n) = exp(n)/p n, where p n is a tunable non-linearity parameter.
24 citations
TL;DR: In this paper, the Coulomb-gas formalism of Dotsenko and Fateev is used to construct boundary states on the charged bosonic Fock space with consistent modular properties.
24 citations
TL;DR: The properties of one-dimensional straight-line superposition states obtained as a continuous generalization of the even and odd coherent states are studied and the distribution functions for squeezed coherentStates are derived.
Abstract: The properties of one-dimensional straight-line superposition states obtained as a continuous generalization of the even and odd coherent states are studied. Superposition states with Hermite-polynomial--Gaussian distribution functions are introduced. These states form a complete orthonormal basis set in the Hilbert space of quantum oscillators. This basis makes it possible to obtain the straight-line coherent-state distribution function for a given state. As an example, the distribution functions for squeezed coherent states are derived.
24 citations
TL;DR: In this paper, the authors developed Perelomov's coherent states formalism to include the case of a quaternionic Hilbert space and showed that coherent states can be formulated using half-integer spin matrices of Finkelstein, Jauch, and Speiser.
Abstract: We develop Perelomov’s coherent states formalism to include the case of a quaternionic Hilbert space. We find that, because of the closure requirement, an attempted quaternionic generalization of the special nilpotent or Weyl group reduces to the normal complex case. For the case of the compact group SU(2), however, coherent states can be formulated using the quaternionic half-integer spin matrices of Finkelstein, Jauch, and Speiser, giving a nontrivial quaternionic analog of coherent states.
24 citations
TL;DR: The coherent states of a Hamiltonian linear in SU(1,1) operators are constructed by defining them, in analogy with the harmonic-oscillator coherent states, as the minimum-uncertainty states with equal variance in two observables.
Abstract: The coherent states of a Hamiltonian linear in SU(1,1) operators are constructed by defining them, in analogy with the harmonic-oscillator coherent states, as the minimum-uncertainty states with equal variance in two observables. The proposed approach is thus based on a physical characteristic of the harmonic-oscillator coherent states which is in contrast with the existing ones which rely on the generalization of the mathematical methods used for constructing the harmonic-oscillator coherent states. The set of states obtained by following the proposed method contains not only the known SU(1,1) coherent states but also a different class of states. \textcopyright{} 1996 The American Physical Society.
24 citations