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Entanglement Theory Quantum Correlations
Open Quantum Systems Decoherence
Quantum Simulation
Generalized quantum isotonic nonlinear oscillator in d dimensions
arXiv
Authors: Richard L. Hall, Nasser Saad, Ozlem Yesiltas
Year
2010
Paper ID
11009
Status
Preprint
Abstract Read
~2 min
Abstract Words
61
Citations
N/A
Abstract
We present a supersymmetric analysis for the d-dimensional Schroedinger equation with the generalized isotonic nonlinear-oscillator potential V(r)={B^2}/{r^{2}}+ω^{2} r^{2}+2g{r2-a2}/{r2+a2^{2}}, B\geq 0. We show that the eigenequation for this potential is exactly solvable provided g=2 and ωa2^2 = B^2 +ell +(d-2/2)^2. Under these conditions, we obtain explicit formulae for all the energies and normalized bound-state wavefunctions.
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- We present a supersymmetric analysis for the d-dimensional Schroedinger equation with the generalized isotonic nonlinear-oscillator potential V(r)=B^2/r^2+ω^2...
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