منابع مشابه
Phase Diffusion of a q-Deformed Oscillator
We examine the problem of phase diffusion rate in a U(1) global phase symmetry broken system, from the perspective of q-deformed oscillators where the deformation parameter represents the anharmonicity. It is shown that broken phase symmetry states, described by deformed coherent states, suffer phase diffusion at a rate determined by the deformation parameter. Analytical discussions are given f...
متن کاملIRREDUCIBLE REPRESENTATIONS OF DEFORMED OSCILLATOR ALGEBRA AND q-SPECIAL FUNCTIONS
Different generators of a deformed oscillator algebra give rise to oneparameter families of q-exponential functions and q-Hermite polynomials related by generating functions. Connections of the Stieltjes and Hamburger classical moment problems with the corresponding resolution of unity for the q-coherent states and with ’coordinate’ operators Jacobi matrices, are also pointed out. Permanent add...
متن کاملIrreducibility and Compositeness in q-Deformed Harmonic Oscillator Algebras
q-Deformed harmonic oscillator algebra for real and root of unity values of the deformation parameter is discussed by using an extension of the number concept proposed by Gauss, namely the Q-numbers. A study of the reducibility of the Fock space representation which explores the properties of the Gauss polynomials is presented. When the deformation parameter is a root of unity, an interesting r...
متن کاملFactorization and q-Deformed Algebra of Quantum Anharmonic Oscillator
We have studied the underlying algebraic structure of the anharmonic oscillator by using the variational perturbation theory. To the first order of the variational perturbation, the Hamiltonian is found to be factorized into a supersymmetric form in terms of the annihilation and creation operators, which satisfy a q-deformed algebra. This algebraic structure is used to construct all the eigenst...
متن کاملTHE q-DEFORMED WIGNER OSCILLATOR IN QUANTUM MECHANICS
Using a super-realization of the Wigner-Heisenberg algebra a new realization of the q-deformed Wigner oscillator is implemented. PACS numbers: 03.70.+k, 11.10.Ef Dedicated to the memory of Prof. Jambunatha Jayaraman, 28 January 1945-19 June 2003. ∗Permanent address: Departamento de Ciências Exatas e da Natureza, Universidade Federal de Campina Grande, Cajazeiras PB, 58.900-000 Brazil. E-mail to...
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ژورنال
عنوان ژورنال: Advances in High Energy Physics
سال: 2017
ISSN: 1687-7357,1687-7365
DOI: 10.1155/2017/1730834