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.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, a family of generalized coherent states obtained by means of operators of an unitary irreducible representation of the group of affine transformations of the real line was studied.
Abstract: We deal with a family of generalized coherent states obtained by means of operators of an unitary irreducible representation of the group of affine transformations of the real line. We prove that the ranges of the corresponding coherent state transforms coincide with spaces of bound states of the Landau Hamiltonian in the hyperbolic plane. This provides us with a new characterization of hyperbolic Landau states.
23 citations
TL;DR: In this article, the most general displaced number coherent states, based on the Heisenberg, su(2) and su(1, 1) Lie algebras symmetries, are constructed.
Abstract: The most general displaced number ?coherent? states, based on the Heisenberg, su(2) and su(1, 1) Lie algebras symmetries, are constructed. They depend on two parameters, and can be converted into the well-known photon-added, two variable Glauber coherent states and displaced number states respectively, depending on which of the parameters is equal to zero. The relations of the Weyl?Heisenberg algebra guarantee a corresponding resolution of the identity conditions. A discussion of the statistical properties of these states is included. Significant are their squeezing properties, which can be raised by increasing the energy and angular momentum quantum numbers n and m. The maximum squeezing is obtained for Bext = 0. Depending on the particular choice of parameters in the above scenarios, we are able to determine the status of compliance with Poissonian statistics. In the limiting case, we obtain a major result about the non-classical properties of the Glauber minimum uncertainty coherent states. In other words, in addition to the requirement to minimize uncertainty conditions, they carry non-classical features too. Finally, a theoretical framework is proposed to generate them.
23 citations
Posted Content•
TL;DR: In this paper, an extension of supersymmetric quantum mechanics is proposed to produce a family of isospectral hamiltonians, which are then used to build coherent states of the Gazeau-Klauder type associated to the hamiltonian.
Abstract: We propose an extension of {\em supersymmetric quantum mechanics} which produces a family of isospectral hamiltonians. Our procedure slightly extends the idea of intertwining operators. Several examples of the construction are given. Further, we show how to build up vector coherent states of the Gazeau-Klauder type associated to our hamiltonians.
23 citations
TL;DR: In this paper, the coherent states map for MIC-Kepler system is constructed and the quantization of this system is given by the coherence states method, which is based on this paper.
Abstract: The coherent states map for MIC–Kepler system is constructed. The quantization of this system is given by the coherent states method.
23 citations
Posted Content•
TL;DR: In this paper, the decomposition of a Q-uon into a boson and a k-fermion leads to a definition of fractional supercoherent states, which involve bosonic coherent states and kfermionic coherent states.
Abstract: We review some basic elements on k-fermions, which are objects interpolating between bosons and fermions In particular, we define k-fermionic coherent states and study some of their properties The decomposition of a Q-uon into a boson and a k-fermion leads to a definition of fractional supercoherent states Such states involve bosonic coherent states and k-fermionic coherent states We construct an Hamiltonian which generalizes the ordinary (or Z_2-graded) supersymmetric oscillator Hamiltonian Our Hamiltonian describes a fractional (or Z_k-graded) supersymmetric oscillator for which the fractional supercoherent states are coherent states
23 citations