Exactness of the Semi-Classical Approximation for Diffusion on Non-Compact Coset Spaces?

  • D. Endesfelder
Part of the NATO ASI Series book series (NSSB, volume 361)

Abstract

A disordered conductor in which the mean free path for inelastic electron scattering exceeds its size is called mesoscopic. Using the Landauer-Büttiker scattering approach one can express transport quantities in terms of a transfer matrix T which belongs to a non-compact group (Sp(2N,R),SU(N,N), and SO*(4N) for the orthogonal, unitary, and the symplectic transfer matrix ensembles, respectively)1. The evolution of the probability distribution of T with the length of a quasi-one-dimensional wire can be described as diffusion on the coset spaces of these groups. It is known that the semi-classical approximation for the path integral which describes diffusion on compact group manifolds is exact. Is this also true for these non-compact coset spaces?

Keywords

Probability Distribution Phase Space Theoretical Physic Free Path Transfer Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. (1).
    M. Caselle, Nucl. Phys. B S45A, 120 (1996)MathSciNetADSGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • D. Endesfelder
    • 1
  1. 1.Theoretical PhysicsOxford UniversityOxfordUK

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