Fejer average and the short term behaviors of a wave packet in infinite square well

Details Fejer average and the short term behaviors of a wave packet in infinite square well Fejer average and the short term behaviors of a wave packet in infinite square well

2000-11-13

arxiv.org/abs/quant-ph/0011048v1

Physics

Quantum Physics

Revtex, 4 pages, 4 figures

Scientific paper

The first two period behaviors of a quantum wave packet in an infinite square well potential is studied. First, the short term behavior of expectation value of a quantity on an equally weighted wave packet (EWWP) is in classical limit proved to reproduce the Fej'{e}r average of the Fourier series decomposition of the corresponding classical quantity. Second, in order to best mimic the classical behavior, a nice relation between number $N$ of stationary states in the EWWP with the average quantum number $n$ as $N\thickapprox \sqrt{n}$ is revealed. Third, since the Fej\'{e}r average can only approximate the classical quantity, it carries an uncertainty which in large quantum number case is almost the same as the quantum uncertainty.

Affiliated with

Also associated with

No associations

Rating

Fejer average and the short term behaviors of a wave packet in infinite square well 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 Fejer average and the short term behaviors of a wave packet in infinite square well, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fejer average and the short term behaviors of a wave packet in infinite square well will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-381090