Relativistic and non-relativistic quantum Brownian motion in an anisotropic dissipative medium
arXiv:1308.5322 · doi:10.1007/s10773-014-2058-0
Abstract
Using a minimal-coupling-scheme we investigate the quantum Brownian motion of a particle in an anisotropic-dissipative-medium under the influence of an arbitrary potential in both relativistic and non-relativistic regimes. A general quantum Langevin equation is derived and explicit expressions for quantum-noise and dynamical variables of the system are obtained. The equations of motion for the canonical variables are solved explicitly and an expression for the radiation-reaction of a charged particle in the presence of a dissipative-medium is obtained. Some examples are given to elucidate the applicability of this approach.
References in corpus (6)
- Quantum optical effective-medium theory for loss-compensated metamaterials
- Casimir forces in multilayer magnetodielectrics with both gain and loss
- Anomalous diffusion in quantum Brownian motion with colored noise
- Finite temperature Casimir effect in the presence of nonlinear dielectrics
- A Canonical Relativistic Approach to Quantize Electromagnetic Field in the Presence of Moving Magneto-Dielectric Media
- Finite temperature Cherenkov radiation in the presence of a magnetodielectric medium