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Supersymmetric Construction of Exactly Solvable Potentials and Non-Linear Algebras | | Georg Junker
; Pinaki Roy
; | | Date: |
10 Sep 1997 | | Journal: | Yad.Fiz. 61 (1998) 1850-1856; Phys.Atom.Nucl. 61 (1998) 1736-1743 | | Subject: | Quantum Physics; Quantum Algebra; Exactly Solvable and Integrable Systems | quant-ph hep-th math.QA nlin.SI q-alg solv-int | | Abstract: | 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. | | Source: | arXiv, quant-ph/9709021 | | Services: | Forum | Review | PDF | Favorites | |
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