Supersymmetric Quantum Mechanics and Inverse Scattering
نویسندگان
چکیده
منابع مشابه
Supersymmetric Quantum Mechanics of Scattering
In the quantum mechanics of collision problems we must consider scattering states of the system. For these states, the wave functions do not remain in Hilbert space, but they are expressible in terms of generalized functions of a Gel’fand triplet. Supersymmetric quantum mechanics for dealing with the scattering states is here proposed. SUSY (supersymmetry) is a concept which connects between bo...
متن کاملand supersymmetric quantum mechanics
Standard and non-standard associated Legendre equations and supersymmetric quantum mechanics Abstract. A simple supersymmetric approach recently used by Dutt, Gan-gopadhyaya, and Sukhatme (hep-th/9611087, Am. J. Phys., to appear) for spherical harmonics is generalized to Gegenbauer and Jacobi equations. The coordinate transformation procedure is well known to the authors writing on supersymmetr...
متن کاملExtended Supersymmetric Quantum Mechanics
A parametrization of the Hamiltonian of the generalized Witten model of the SUSY QM by a single arbitrary function in d = 1 has been obtained for an arbitrary number of the supersymmetries N . Possible applications of this formalism have been discussed. It has been shown that the N = 1 and 2 conformal SUSY QM is generalized for any N . Submitted to the Physics Letters B.
متن کاملOn supersymmetric quantum mechanics
This paper constitutes a review on N = 2 fractional supersymmetric Quantum Mechanics of order k. The presentation is based on the introduction of a generalized Weyl-Heisenberg algebra Wk. It is shown how a general Hamiltonian can be associated with the algebra Wk. This general Hamiltonian covers various supersymmetrical versions of dynamical systems (Morse system, PöschlTeller system, fractiona...
متن کاملSupersymmetric Quantum Mechanics
Supersymmetric quantum mechanics (SUSY QM) is a powerful tool for generating new potentials with known spectra departing from an initial solvable one. In these lecture notes we will present some general formulae concerning SUSY QM of first and second order for one-dimensional arbitrary systems, and we will illustrate the method through the trigonometric Pöschl-Teller potentials. Some intrinsica...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics Supplement
سال: 1986
ISSN: 0375-9687
DOI: 10.1143/ptps.86.366