282,301 research outputs found
A General -Oscillator Algebra
It is well-known that the Macfarlane-Biedenharn -oscillator and its
generalization has no Hopf structure, whereas the Hong Yan -oscillator can
be endowed with a Hopf structure. In this letter, we demonstrate that it is
possible to construct a general -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
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
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
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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