Dissipative dynamics of a Harmonic Oscillator : A non-perturbative approach

Details Dissipative dynamics of a Harmonic Oscillator : A non-perturbative approach Dissipative dynamics of a Harmonic Oscillator : A non-perturbative approach

2009-03-25

arxiv.org/abs/0903.4273v1

Physics

Quantum Physics

7 pages, 3 figures

Scientific paper

Starting from a microscopic theory, we derive a master equation for a harmonic oscillator coupled to a bath of non-interacting oscillators. We follow a non-perturbative approach, proposed earlier by us for the free Brownian particle. The diffusion constants are calculated analytically and the positivity of the Master Equation is shown to hold above a critical temperature. We compare the long time behaviour of the average kinetic and potential energies with known thermodynamic results. In the limit of vainishing oscillator frequency of the system, we recover the results of the free Brownian particle.

Affiliated with

Also associated with

No associations

Rating

Dissipative dynamics of a Harmonic Oscillator : A non-perturbative approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Dissipative dynamics of a Harmonic Oscillator : A non-perturbative approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dissipative dynamics of a Harmonic Oscillator : A non-perturbative approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-68028