Quantum dynamics of a particle trapped by oscillating fields
Alberes Lopes de Lima, Alexandre Rosas, I. A. Pedrosa · Journal of Modern Optics · 2008
In this work we investigate the quantum dynamics of a particle trapped by oscillating fields. With the help of quadratic invariants and of the invariant method we solve analytically and exactly the Schrödinger equation for this system and write the corresponding wave functions in terms of solutions of the Milne–Pinney equation. We also construct coherent and squeezed states for this system and evaluate the quantum fluctuations in coordinate and momentum as well as the uncertainty product between canonical coordinate and momentum.