Limitations on the principle of stationary phase when it is applied to tunneling analysis

Details Limitations on the principle of stationary phase when it is applied to tunneling analysis Limitations on the principle of stationary phase when it is applied to tunneling analysis

2007-01-02

arxiv.org/abs/quant-ph/0701010v1

Phys. Rev. A74 (2006) 062111

Physics

Quantum Physics

17 pages, 2 figures

Scientific paper

10.1103/PhysRevA.74.062111

Using a recently developed procedure - multiple wave packet decomposition - here we study the phase time formulation for tunneling/reflecting particles colliding with a potential barrier. To partially overcome the analytical difficulties which frequently arise when the stationary phase method is employed for deriving phase (tunneling) time expressions, we present a theoretical exercise involving a symmetrical collision between two identical wave packets and an one-dimensional rectangular potential barrier. Summing the amplitudes of the reflected and transmitted waves - using a method we call multiple peak decomposition - is shown to allow reconstruction of the scattered wave packets in a way which allows the stationary phase principle to be recovered.

Affiliated with

Also associated with

No associations

Rating

Limitations on the principle of stationary phase when it is applied to tunneling analysis 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 Limitations on the principle of stationary phase when it is applied to tunneling analysis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Limitations on the principle of stationary phase when it is applied to tunneling analysis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-189365