Unified description of q-deformed harmonic oscillators

Details Unified description of q-deformed harmonic oscillators Unified description of q-deformed harmonic oscillators

2001-09-20

arxiv.org/abs/math-ph/0109017v1

Physics

Mathematical Physics

17pages, no figures, Latex

Scientific paper

10.1143/PTP.107.1

A wide class of q-deformed harmonic oscillators including those of Macfarlane type and of Dubna type is shown to be describable in a unified way. The Hamiltonian of the oscillator is assumed to be given by a q-deformed anti-commutator of the q-deformed ladder operators. By solving $q$-difference equations, explicit coordinate representations of ladder operators and wave functions are derived, and unified parametric representations are found for $q$-Hermite functions and related formulas for the oscillators of Macfarlane and Dubna types. In addition to the well-known solutions with globally periodic structure, there exist an infinite number of solutions with globally aperiodic structure.

Affiliated with

Also associated with

No associations

Rating

Unified description of q-deformed harmonic oscillators 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 Unified description of q-deformed harmonic oscillators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unified description of q-deformed harmonic oscillators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-722947