Unravelling quantum carpets: a travelling wave approach

Details Unravelling quantum carpets: a travelling wave approach Unravelling quantum carpets: a travelling wave approach

1999-06-28

arxiv.org/abs/quant-ph/9906107v2

J.Phys.A32:8275-8291,1999

Physics

Quantum Physics

Latex, 26 pages + 6 figures, submitted to J. Phys. A (connections with prior literature clarified)

Scientific paper

10.1088/0305-4470/32/47/307

Quantum carpets are generic spacetime patterns formed in the probability distributions P(x,t) of one-dimensional quantum particles, first discovered in 1995. For the case of an infinite square well potential, these patterns are shown to have a detailed quantitative explanation in terms of a travelling-wave decomposition of P(x,t). Each wave directly yields the time-averaged structure of P(x,t) along the (quantised)spacetime direction in which the wave propagates. The decomposition leads to new predictions of locations, widths depths and shapes of carpet structures, and results are also applicable to light diffracted by a periodic grating and to the quantum rotator. A simple connection between the waves and the Wigner function of the initial state of the particle is demonstrated, and some results for more general potentials are given.

Affiliated with

Also associated with

No associations

Rating

Unravelling quantum carpets: a travelling wave approach 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 Unravelling quantum carpets: a travelling wave approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unravelling quantum carpets: a travelling wave approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-681650