A Natural Extension of the Bargmann-Fock Representation to Supersymmetric Systems

  • H.-P. Thienel
Conference paper


The use of differential forms on a D-dimensional, holomorphic manifold naturally extends the Bargmann-Fock representation1,2, where only 0-forms are used. The resulting combined bosonic/fermionic Fock space corresponds to the D-dimensional supersymmetric oscillator3,4. The complete framework will be published soon. A preliminary version based on real geometry, containing the essential conceptual and technical ingredients, has already been published5.


Differential Form Creation Operator Real Geometry Complete Framework Fermionic Excitation 
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    H-P. Thienel, J. Math. Phys. 36 (1995) 1192.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • H.-P. Thienel
    • 1
  1. 1.Fachbereich PhysikUniversität SiegenSiegenGermany

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