Quantum Brownian motion induced by an inhomogeneous tridimensional space and a topological space-time
arXiv:2301.05934 · doi:10.1007/JHEP04(2023)111
Abstract
In this paper we investigate the Quantum Brownian motion of a point particle induced by quantum vacuum fluctuations of a massless scalar field in (3 + 1)-dimensional Minkowski spacetime with distinct conditions (Dirichlet, Neumann, mixed and quasiperiodic). The modes of the field are confined and compactified to a finite length region, which consequently provides a natural measure scale for the system. Useful expressions for the Wightman function have been obtained, which allow us to calculate analytical expressions for the velocity dispersion in all condition cases considered. We also obtain expressions for the velocity dispersion in the short and late time regimes. Finally, we exhibit some graphs in order to show the behavior of the velocity dispersions, discussing important divergencies that are present in our results.
arXiv comment32 pages, 9 figures, version accepted for publication in JHEP
References in corpus (22)
- Vacuum fluctuations and Brownian motion of a charged test particle near a reflecting boundary
- Spontaneous emission between an unusual pair of plates
- Brownian motion of a charged test particle in vacuum between two conducting plates
- Brownian motion of a charged test particle near a reflecting boundary at finite temperature
- Topological Casimir effect in compactified cosmic string spacetime
- Brownian Motion in Robertson-Walker Space-Times from electromagnetic Vacuum Fluctuations
- Switching effect upon the quantum Brownian motion near a reflecting boundary
- Probing quantum vacuum fluctuations over a charged particle near a reflecting wall
- Quantum Brownian motion near a point-like reflecting boundary
- Smearing effect due to the spread of a probe-particle on the Brownian motion near a perfectly reflecting boundary
- Quantum Brownian motion in an analog Friedmann-Robertson-Walker geometry
- Remarks on the influence of quantum vacuum fluctuations over a charged test particle near a conducting wall
- Dark Matter Induced Brownian Motion
- Electromagnetic vacuum fluctuations and topologically induced motion of a charged particle
- Vacuum fluctuations of a scalar field near a reflecting boundary and their effects on the motion of a test particle
- Vacuum induced dispersions on the motion of test particles in dimensions
- Vacuum Energy Density for Massless Scalar Fields in Flat Homogeneous Spacetime Manifolds with Nontrivial Topology
- Probing thermal fluctuations through scalar test particles
- Stochastic motion in an expanding noncommutative fluid
- Quantum Brownian motion for a particle in analog expanding cosmologies in the presence of disclination
- Probing spatial orientability of Friedmann--Robertson--Walker spatially flat spacetime
- Inquiring electromagnetic quantum fluctuations about the orientability of space