Showing papers by "Center for Theoretical Physics published in 2004"
Posted Content•
TL;DR: In this article, the classical and quantum dynamics of a particle in an anisotropic, rotating, harmonic trap are studied in three dimensions and no restrictions on the geometry are imposed.
Abstract: Complete description of the classical and quantum dynamics of a particle in an anisotropic, rotating, harmonic trap is given The problem is studied in three dimensions and no restrictions on the geometry are imposed In the generic case, for an arbitrary orientation of the rotation axis, there are two regions of instability with different characteristics The analysis of the quantum-mechanical problem is made simple due to a direct connection between the classical mode vectors and the quantum-mechanical wave functions This connection is obtained via the matrix Riccati equation that governs the time evolution of squeezed states of the harmonic oscillator It is also shown that the inclusion of gravity leads to a resonant behavior -- the particles are expelled from the trap
3 citations