Supersymmetric Construction of Exactly Solvable Potentials and Non-Linear Algebras

Details Supersymmetric Construction of Exactly Solvable Potentials and Non-Linear Algebras Supersymmetric Construction of Exactly Solvable Potentials and Non-Linear Algebras

1997-09-10

arxiv.org/abs/quant-ph/9709021v3

Yad.Fiz.61:1850-1856,1998; Phys.Atom.Nucl.61:1736-1743,1998

Physics

Quantum Physics

LaTeX, 11 pages, 3 figures, figures added, minor misprints corrected. to appear in Russian Journal of Nuclear Physics (Yaderna

Scientific paper

Using algebraic tools of supersymmetric quantum mechanics we construct classes of conditionally exactly solvable potentials being the supersymmetric partners of the linear or radial harmonic oscillator. With the help of the raising and lowering operators of these harmonic oscillators and the SUSY operators we construct ladder operators for these new conditionally solvable systems. It is found that these ladder operators together with the Hamilton operator form a non-linear algebra which is of quadratic and cubic type for the SUSY partners of the linear and radial harmonic oscillator, respectively.

Affiliated with

Also associated with

No associations

Rating

Supersymmetric Construction of Exactly Solvable Potentials and Non-Linear Algebras 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 Supersymmetric Construction of Exactly Solvable Potentials and Non-Linear Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supersymmetric Construction of Exactly Solvable Potentials and Non-Linear Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1824