Coherent State Path Integral for Bloch Particle

Details Coherent State Path Integral for Bloch Particle Coherent State Path Integral for Bloch Particle

2001-05-23

arxiv.org/abs/cond-mat/0105453v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, Revtev4

Scientific paper

We construct a coherent state path integral formalism for the one-dimensional Bloch particle within the single band model. The transition amplitude between two coherent states is a sum of transition amplitudes with different winding numbers on the two-dimensional phase space which has the same topology as that of the cylinder. Appearance of the winding number is due to the periodicity of the quasi-momentum of the Bloch particle. Our formalism is successfully applied to a semiclassical motion of the Bloch particle under a uniform electric field. The wave packet exhibits not only the Bloch oscillation but also a similar breathing to the one for the squeezed state of a harmonic oscillator.

Affiliated with

Also associated with

No associations

Rating

Coherent State Path Integral for Bloch Particle 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 Coherent State Path Integral for Bloch Particle, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Coherent State Path Integral for Bloch Particle will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-493274