Abstract
A heuristic construction of Hilbert superspaces using Grassmann numbers is suggested. Simple applications are given which include a coherent-state formalism for Fermi oscillator systems.
Similar content being viewed by others
References
Amowitt, R., Nath, P., and Zumino, B. (1975).Physics Letters,56B, 81.
Bargmann, V. (1962).Reviews of Modem Physics,34(4), 829.
Berezin, F. A. (1966).The method of second quantization. Academic Press, New York.
Berezin, F. A., and Kac, G. (1970).Mat. Sb.,82, 124. [English translation,Mat. Sb.,11, 311 (1970).]
Konstant, B. (1977).Differential Geometric Methods in Mathematical Physics, Springer-Verlag Lecture Notes in Mathematics, Vol. 570, Springer-Verlag, Berlin.
Schwinger, J. (1951).Proceedings of the National Academy of Science,37, 452.
Tabensky, R., and Furtado Valle, J. W. (1977).Revista Brasileira de Fisica 7(3), 413.
Wess, J., and Zumino, B. (1974a).Nuclear Physics,B70, 39.
Wess, J., and Zumino, B. (1974b).Physics Letters,51B, 239.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Valle, J.W.F. Hilbert superspaces and Grassmann numbers. Int J Theor Phys 18, 923–934 (1979). https://doi.org/10.1007/BF00669568
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00669568