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arxiv: 0710.2881 · v1 · submitted 2007-10-15 · ✦ hep-th · math-ph· math.MP

On the Geometry of Supersymmetric Quantum Mechanical Systems

classification ✦ hep-th math-phmath.MP
keywords systemsgeometricmechanicalquantumsupersymmetricalgebrasaspectsclifford
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We consider some simple examples of supersymmetric quantum mechanical systems and explore their possible geometric interpretation with the help of geometric aspects of real Clifford algebras. This leads to natural extensions of the considered systems to higher dimensions and more complicated potentials.

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