Proof of completeness of lattice states in the kq representation

H. Bacry, A. Grossmann, and J. Zak
Phys. Rev. B 12, 1118 – Published 15 August 1975
PDFExport Citation

Abstract

A general set of states on a lattice in the phase plane is considered. The discrete set of von Neumann coherent states for a harmonic oscillator is a particular case of the above set. The kq representation is used in an elementary proof of completeness and orthogonality of states on a discrete phase plane lattice.

  • Received 15 April 1975

DOI:https://doi.org/10.1103/PhysRevB.12.1118

©1975 American Physical Society

Authors & Affiliations

H. Bacry*, A. Grossmann, and J. Zak

  • Centre de Physique Théorique, Centre National de la Recherche Scinetifique, 31, chemin Joseph Aiguier, 13274 Marseille, Cedex 2, France

  • *U. E. R. Expérimentale et Pluridisplinaire de Luminy, et Centre de Physique Théorique, Centre National de la Recherche Scientifique, Marseille, Cedex 2, France.
  • Centre de Physique Théorique, Centre National de la Recherche Scientifique Marseille, Cedex 2, France.
  • On sabbatical leave from the Technion, Haifa, Israel.

References (Subscription Required)

Click to Expand
Issue

Vol. 12, Iss. 4 — 15 August 1975

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×