Non-commutative supersymmetric quantum mechanics
نویسندگان
چکیده
منابع مشابه
Supersymmetric Quantum Theory and Non-Commutative Geometry
Classical differential geometry can be encoded in spectral data, such as Connes’ spectral triples, involving supersymmetry algebras. In this paper, we formulate non-commutative geometry in terms of supersymmetric spectral data. This leads to generalizations of Connes’ non-commutative spin geometry encompassing noncommutative Riemannian, symplectic, complex-Hermitian and (Hyper-) Kähler geometry...
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We discuss some basic issues that arise when one attempts to model quantum mechanical systems on a computer, and we describe the mathematical structure of the resulting discretized cannonical commutation relations. The C∗algebras associated with the discretized CCRs are the non-commutative spheres of Bratteli, Elliott, Evans and Kishimoto. 1991 Mathematics Subject Classification. Primary 46L40;...
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The continuous Lorentz symmetry is broken to a discrete subgroup–but the internal (gauge) symmetry is preserved. Note that it is this feature that renders the study of lattice supersymmetry so non-trivial, since supersymmetry mixes Lorentz symmetry and internal symmetry in a non-trivial way. In quantum mechanics we consider functions that take values in phase space. These functions are valued i...
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In this paper we describe an approach to differential topology and geometry rooted in supersymmetric quantum theory. We show how the basic concepts and notions of differential geometry emerge from concepts and notions of the quantum theory of non-relativistic particles with spin, and how the classification of different types of differential geometry follows the classification of supersymmetries...
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.
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 2009
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2008.11.011