6533b824fe1ef96bd128029c
RESEARCH PRODUCT
Motion of the wave-function zeros in spin-boson systems.
Vassilios KovanisVassilios KovanisDemosthenes EllinasDemosthenes Ellinassubject
Quantum opticsPhysicsNonlinear systemClassical mechanicsCoherent statesEquations of motionNonlinear flowSystem of linear equationsAtomic and Molecular Physics and OpticsHarmonic oscillatorBosondescription
In the analytic Bargmann representation associated with the harmonic oscillator and spin coherent states, the wave functions considered as consisting of entire complex functions can be factorized in terms of their zeros in a unique way. The Schr\"odinger equation of motion for the wave function is turned to a system of equations for the zeros of the wave function. The motion of these zeros as a nonlinear flow of points is studied and interpreted for linear and nonlinear bosonic and spin Hamiltonians. Attention is given to the study of the zeros of the Jaynes-Cummings model and to its finite analog. Numerical solutions are derived and dicussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1995-05-01 | Physical review. A, Atomic, molecular, and optical physics |