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)


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?


Probability Distribution Phase Space Theoretical Physic Free Path Transfer Matrix 
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  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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