The Step-Harmonic Potential

Details The Step-Harmonic Potential The Step-Harmonic Potential

2009-12-16

arxiv.org/abs/0912.3198v2

Am. J. Phys. 78 (8), August 2010

Physics

Quantum Physics

19 pages, 7 figures

Scientific paper

10.1119/1.3379290

We analyze the behavior of a quantum system described by a one-dimensional asymmetric potential consisting of a step plus a harmonic barrier. We solve the eigenvalue equation by the integral representation method, which allows us to classify the independent solutions as equivalence classes of homotopic paths in the complex plane. We then consider the propagation of a wave packet reflected by the harmonic barrier and obtain an expression for the interaction time as a function of the peak energy. For high energies we recover the classical half-period limit.

Affiliated with

Also associated with

No associations

Rating

The Step-Harmonic Potential 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 The Step-Harmonic Potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Step-Harmonic Potential will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-49452