Field theory with coherent states for many-body problems with specified particle- and symmetry- quantum numbers (Non-relativistic electrons in a central potential and an external magnetic field)

2009/06/14 by Bernhard Mieck, Mieck, Bernhard
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.0906.2532

arxiv created 2009/06/14 · arxiv updated 2009/12/01

Abstract

Coherent state path integrals are applied to a many-body problem for non-relativistic electrons in a central potential and an external magnetic field; however, in comparison to previous coherent state path integrals, we definitely fix the symmetry quantum numbers to specific values with second quantized field operators which are restricted by delta functions of a Dirac identity in a trace representation of anti-commuting coherent states. We perform an anomalous doubling for the delta functions of the two-particle parts so that a Hubbard-Stratonovich transformation can be taken for corresponding self-energies with a coset decomposition. The given field theory can be extended to an ensemble average over the external magnetic field so that mean eigenvalue densities and eigenvalue correlations can be obtained.

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