Proof of completeness of lattice states in therepresentation
- 15 August 1975
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 12 (4), 1118-1120
- https://doi.org/10.1103/physrevb.12.1118
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 representation is used in an elementary proof of completeness and orthogonality of states on a discrete phase plane lattice.
Keywords
This publication has 2 references indexed in Scilit:
- On the completeness of the coherent statesReports on Mathematical Physics, 1971
- Coherent and Incoherent States of the Radiation FieldPhysical Review B, 1963