Classical and Quantum Oscillator Model of an Atom in a Classical Field with Time-Dependent Damping

Classical and Quantum Oscillator Model of an Atom in a Classical Field with Time-Dependent Damping

A quantum system with time dependent damping, which is canonically transformed from a conservative system, is dealt with. From the wave functions of the conservative system, we use a perturbative method to find the wave function of the damped quantum system under the influence of an external field. We consider the atomic optical susceptibility of the classical oscillator model with a damping function. With the wave function of the damped quantum system under the influence of the external field, we obtain the atomic optical susceptibility of the system. In both the quantum and the classical treatments, we show that the susceptibility depends on a frequency that is not the frequency of the applied field.

A quantum system with time dependent damping, which is canonically transformed from a conservative system, is dealt with. From the wave functions of the conservative system, we use a perturbative method to find the wave function of the damped quantum system under the influence of an external field. We consider the atomic optical susceptibility of the classical oscillator model with a damping function. With the wave function of the damped quantum system under the influence of the external field, we obtain the atomic optical susceptibility of the system. In both the quantum and the classical treatments, we show that the susceptibility depends on a frequency that is not the frequency of the applied field.