Between Schroedinger and Hermite: Supersymmetric pair of q-deformed non-local operators

Details Between Schroedinger and Hermite: Supersymmetric pair of q-deformed non-local operators Between Schroedinger and Hermite: Supersymmetric pair of q-deformed non-local operators

1999-04-12

arxiv.org/abs/quant-ph/9904046v2

Int. J. Theor. Phys. 39 (Sept. 2000) 2191-2196

Physics

Quantum Physics

6 pages, LaTex, a phrase more with respect to v1 (Don't work on sign errors during weekends!)

Scientific paper

A simple version of the q-deformed calculus is used to generate a pair of q-nonlocal, second-order difference operators by means of deformed counterparts of Darboux intertwining operators for zero factorization energy. These deformed non-local operators may be considered as supersymmetric partners and their structure contains contributions originating in both the Hermite operator and the quantum harmonic oscillator operator. There are also extra $\pm x$ contributions. The undeformed limit, in which all q-nonlocalities wash out, corresponds to the usual supersymmetric pair of quantum mechanical harmonic oscillator Hamiltonians. The more general case of negative factorization energy is briefly discussed as well

Affiliated with

Also associated with

No associations

Rating

Between Schroedinger and Hermite: Supersymmetric pair of q-deformed non-local operators 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 Between Schroedinger and Hermite: Supersymmetric pair of q-deformed non-local operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Between Schroedinger and Hermite: Supersymmetric pair of q-deformed non-local operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-346475