|
| related topics |
| {equation, function, exp} |
| {operator, operators, space} |
| {energy, state, states} |
| {vol, operators, histories} |
| {state, states, coherent} |
|
Supersymmetric Construction of Exactly Solvable Potentials and
Non-Linear Algebras
Georg Junker, Pinaki Roy
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/9709021
- categories:
- quant-ph hep-th math.QA nlin.SI q-alg solv-int
- comments:
- LaTeX, 11 pages, 3 figures, figures added, minor misprints corrected.
to appear in Russian Journal of Nuclear Physics (Yadernaya Fizika)
- arxiv_id:
- quant-ph/9709021
- journal_ref:
- Yad.Fiz. 61 (1998) 1850-1856; Phys.Atom.Nucl. 61 (1998) 1736-1743
- created:
- 1997-09-10
- updated:
- 1997-09-12
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