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A nicolai map for supersymmetric quantum mechanics on riemannian manifolds

Part of the Lecture Notes in Mathematics book series (LNM,volume 1250)

Abstract

It is shown that a Stratonovich stochastic differential equation plays the role of a Nicolai map in the zero-fermion sector of supersymmetric quantummechanics on Riemannian manifolds.

Keywords

  • Riemannian Manifold
  • Diffusion Matrix
  • Euclidean Time
  • Grassmann Variable
  • Fermion Number

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© 1987 Springer-Verlag

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Graham, R., Roekaerts, D. (1987). A nicolai map for supersymmetric quantum mechanics on riemannian manifolds. In: Albeverio, S., Blanchard, P., Streit, L. (eds) Stochastic Processes — Mathematics and Physics II. Lecture Notes in Mathematics, vol 1250. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077350

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  • DOI: https://doi.org/10.1007/BFb0077350

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  • Print ISBN: 978-3-540-17797-5

  • Online ISBN: 978-3-540-47835-5

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