Nonlinear Supersymmetry for Spectral Design in Quantum Mechanics
نویسندگان
چکیده
Nonlinear (Polynomial, N-fold) SUSY approach to preparation of quantum systems with pre-planned spectral properties is reviewed. The full classification of ladderreducible and irreducible chains of SUSY algebras in one-dimensional QM is given. Possible extensions of SUSY in one dimension are described. They include (no more than) N = 2 extended SUSY with two nilpotent SUSY charges which generate the hidden symmetry acting as a central charge. Embedding stationary quantum systems into a non-stationary SUSY QM is shown to yield new insight on quantum orbits and on spectrum generating algebras. Submitted to: Journal of Physics A: Math. Gen. PACS numbers: 03.65.Ca,03.65.Fd,11.30.Pb Nonlinear Supersymmetry 2
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تاریخ انتشار 2004