Zeitschrift für Physik B Condensed Matter

, Volume 78, Issue 1, pp 63–67

Supersymmetry and Kramers' reaction rate

  • K. Schönhammer

DOI: 10.1007/BF01317358

Cite this article as:
Schönhammer, K. Z. Physik B - Condensed Matter (1990) 78: 63. doi:10.1007/BF01317358


In Brinckman's generalization of Kramers' expression for the reaction rate to overcome a high barrier in the large friction limit assumptions about local equilibrium in the wells and the current density at the top of the barrier were made which have been questioned by various authors. It is shown that supersymmetric quantum mechanics can be used to justify Brinckman's result. Exact results for a simple model potential are compared with the asymptotic rate formula.

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • K. Schönhammer
    • 1
  1. 1.Institut für Theoretische PhysikUniversität GöttingenGöttingenGermany