282,301 research outputs found

    A General qq-Oscillator Algebra

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    It is well-known that the Macfarlane-Biedenharn qq-oscillator and its generalization has no Hopf structure, whereas the Hong Yan qq-oscillator can be endowed with a Hopf structure. In this letter, we demonstrate that it is possible to construct a general qq-oscillator algebra which includes the Macfarlane-Biedenharn oscillator algebra and the Hong Yan oscillator algebra as special cases.Comment: Needs subeqnarray.sty and epsf.sty (contains 2 figures

    Statics and dynamics of a harmonic oscillator coupled to a one-dimensional Ising system

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    We investigate an oscillator linearly coupled with a one-dimensional Ising system. The coupling gives rise to drastic changes both in the oscillator statics and dynamics. Firstly, there appears a second order phase transition, with the oscillator stable rest position as its order parameter. Secondly, for fast spins, the oscillator dynamics is described by an effective equation with a nonlinear friction term that drives the oscillator towards the stable equilibrium state.Comment: Proceedings of the 2010 Granada Semina

    Dynamics of a quantum oscillator strongly and off-resonantly coupled with a two-level system

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    Beyond the rotating-wave approximation, the dynamics of a quantum oscillator interacting strongly and off-resonantly with a two-level system exhibit beatings, whose period equals the revival time of the two-level system. On a longer time scale, the quantum oscillator shows collapses, revivals and fractional revivals, which are encountered in oscillator observables like the mean number of oscillator quanta and in the two-level inversion population. Also the scattered oscillator field shows doublets with symmetrically displaced peaks.Comment: 19 pages, 5 figure

    Notes on Oscillator-Like Interactions of Various Spin Relativistic Particles

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    The equations for various spin particles with oscillator-like interactions are discussed in this talk. Contents: 1. Comment on "The Klein-Gordon Oscillator"; 2. The Dirac oscillator in quaternion form; 3. The Dirac-Dowker oscillator; 4. The Weinberg oscillator; 5. Note on the two-body Dirac oscillator.Comment: LaTeX file, 12 pp. Talk given at the Second Workshop "Osciladores Arm\'onicos". Cocoyoc, M\'exico, March 23-25, 1994. To be published in NASA Conference Proceedings. Preprint IFUNAM FT-94-44, EFUAZ-94-0
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