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The good, the bad and the ugly coherent states through polynomial Heisenberg algebras

  • Miguel Castillo-Celeita
  • David J. Fernández C.
Conference paper

Abstract

Second degree polynomial Heisenberg algebras are realized through the harmonic oscillator Hamiltonian, together with two deformed ladder operators chosen as the third powers of the standard annihilation and creation operators. The corresponding solutions to the Painlevé IV equation are easily found. Moreover, three different sets of eigenstates of the deformed annihilation operator are constructed, called the good, the bad and the ugly coherent states. Some physical properties of such states will be studied as well.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Miguel Castillo-Celeita
    • 1
  • David J. Fernández C.
    • 1
  1. 1.Departamento de FísicaCinvestavCiudad de MéxicoMéxico

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