Mapping of shape invariant potentials by the point canonical transformation

Details Mapping of shape invariant potentials by the point canonical transformation Mapping of shape invariant potentials by the point canonical transformation

2008-05-27

arxiv.org/abs/0805.4116v1

Int J Theor Phys (2008) 47: 891

Physics

Mathematical Physics

Scientific paper

10.1007/s10773-007-9515-y

In this paper by using the method of point canonical transformation we find that the Coulomb and Kratzer potentials can be mapped to the Morse potential. Then we show that the P\"{o}schl-Teller potential type I belongs to the same subclass of shape invariant potentials as Hulth\'{e}n potential. Also we show that the shape-invariant algebra for Coulomb, Kratzer, and Morse potentials is SU(1,1), while the shape-invariant algebra for P\"{o}schl-Teller type I and Hulth\'{e}n is SU(2).

Affiliated with

Also associated with

No associations

Rating

Mapping of shape invariant potentials by the point canonical transformation 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 Mapping of shape invariant potentials by the point canonical transformation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mapping of shape invariant potentials by the point canonical transformation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-273674