𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Phase Coherence in Quantum Brownian Motion

✍ Scribed by M. Blasone; Y.N. Srivastava; G. Vitiello; A. Widom

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
357 KB
Volume
267
Category
Article
ISSN
0003-4916

No coin nor oath required. For personal study only.

✦ Synopsis

The quantum theory of Brownian motion is discussed in the Schwinger version wherein the notion of a coordinate moving forward in time x(t) is replaced by two coordinates, x + (t) moving forward in time and x & (t) moving backward in time. The role of the doubling of the degrees of freedom is illustrated for the case of electron beam two slit diffraction experiments. Interference is computed with and without dissipation (described by a thermal bath). The notion of a dissipative interference phase, closely analogous to the Aharonov Bohm magnetic field induced phase, is explored.

πŸ“œ SIMILAR VOLUMES

Brownian motion in a magnetic field
Brownian motion in a magnetic field
✍ Behram KurşunoΗ§lu πŸ“‚ Article πŸ“… 1962 πŸ› Elsevier Science 🌐 English βš– 419 KB
Brownian motion in fluctuating periodic
Brownian motion in fluctuating periodic potentials
✍ Enrique Abad; Andreas Mielke πŸ“‚ Article πŸ“… 1998 πŸ› John Wiley and Sons 🌐 English βš– 853 KB

This work deals with the overdamped motion of a particle in a fluctuating one-dimensional periodic potential. If the potential has no inversion symmetry and its fluctuations are asymmetric and correlated in time, a net flow can be generated at finite temperatures. We present results for the stationa