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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, the authors clarified the relations between certain new coherent states for loop quantum gravity and the analytically continued heat kernel coherent states, highlighting the underlying general construction, the presence of a modified heat equation as well as the way in which the properties of the heat kernels are automatically inherited by these new states.
Abstract: We clarify the relations between certain new coherent states for loop quantum gravity and the analytically continued heat kernel coherent states, highlighting the underlying general construction, the presence of a modified heat equation as well as the way in which the properties of the heat kernels are automatically inherited by these new states.
8 citations
TL;DR: In this article, a class of nonlinear coherent states which are experimentally feasible in cavity or ion-trap quantum electrodynamics were proposed, arising from a new type of photon addition and subtraction based on London phase operators, also known as Susskind-Glogower operators.
Abstract: We propose a class of nonlinear coherent states which are experimentally feasible in cavity or ion-trap quantum electrodynamics. These quantum field states arise from a new type of photon addition and subtraction based on London phase operators, also known as Susskind–Glogower operators, that just displaces the mean photon number without scaling the photon distribution.
8 citations
TL;DR: In this paper, the nonlinear coherent states approach was used to find a relation between the geometric structure of the physical space and the geometry of the corresponding projective Hilbert space. And the geometric phase in the curved space was explored.
Abstract: In this paper, by using the nonlinear coherent states approach, we find a relation between the geometric structure of the physical space and the geometry of the corresponding projective Hilbert space To illustrate the approach, we explore the quantum transition probability and the geometric phase in the curved space
8 citations
TL;DR: In this article, the time evolution of a coherent state is discussed using the evolution operator of the underlying Hamiltonian, which is a special case of the Hamiltonian evolution operator used in this paper.
8 citations
TL;DR: In this article, the Perelomov coherent states of SU(1,1) are labeled by elements of the quotient of SU (1, 1) by the compact subgroup.
Abstract: The Perelomov coherent states of SU(1,1) are labeled by elements of the quotient of SU(1,1) by the compact subgroup. Taking advantage of the fact that this quotient is isomorphic to the affine group of the real line, we are able to parameterize the coherent states by elements of that group or equivalently by points in the half-plane. Such a formulation permits to find new properties of the SU(1,1) coherent states and to relate them to affine wavelets.
8 citations