Supersymmetric Quantum Mechanics and Index Theorem
نویسندگان
چکیده
منابع مشابه
Supersymmetric Quantum Mechanics and Index Theorem
Supersymmetric quantum mechanics is discussed in the spaces of one and three dimensions. The structure of the continuum portion of the spectrum of the hamiltonian is investigated by making use of Callias' and Weinberg's generalized index theorems. The difference of the densities of bosonic and fermionic states at a fixed energy is calculated and it turns out to be topologically invariant and no...
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The basic features of supersymmetric quantum mechanics are reviewed and illustrated by examples from physics and geometry (the hydrogen atom, and massless fields in curved space). Using a discrete approximation to the path integral in the associated supersymmetric quantum mechanics, the Atiyah-Singer Index Theorem is derived for the twi.sted Diraf operator. Specializa~i<;>ns of this in foll!. d...
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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...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1983
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.70.1444