Quantum Brownian motion near a point-like reflecting boundary

Abstract

The Brownian motion of a test particle interacting with a quantum scalar field in the presence of a perfectly reflecting boundary is studied in (1 + 1)-dimensional flat spacetime. Particularly, the expressions for dispersions in velocity and position of the particle are explicitly derived and their behaviors examined. The results are similar to those corresponding to an electric charge interacting with a quantum electromagnetic field near a reflecting plane boundary, mainly regarding the divergent behavior of the dispersions at the origin (where the boundary is placed), and at the time interval corresponding to a round trip of a light pulse between the particle and the boundary. We close by addressing some effects of allowing the position of the particle to fluctuate.

arXiv comment9 pages, 3 figures, published version

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• 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 $D+1$ dimensions
• Probing thermal fluctuations through scalar test particles
• Quantum Brownian motion for a particle in analog expanding cosmologies in the presence of disclination
• Quantum Brownian motion induced by an inhomogeneous tridimensional space and a $S^1\times R^3$ topological space-time
• Quantum Brownian motion induced by fluctuating boundaries and compactification
• Anisotropic motion of an electric dipole in a photon gas near a flat conducting boundary