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 $\mathrm{kq}$ representation is used in an elementary proof of completeness and orthogonality of states on a discrete phase plane lattice.
Keywords
Lattice (music)Completeness (order theory)CombinatoricsMathematicsDiscrete mathematicsPhysicsMathematical analysis
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Publication Info
- Year
- 1975
- Type
- article
- Volume
- 12
- Issue
- 4
- Pages
- 1118-1120
- Citations
- 127
- Access
- Closed
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Cite This
H. Bacry,
A. Großmann,
J. Žák
(1975).
Proof of completeness of lattice states in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>k</mml:mi><mml:mi/><mml:mi>q</mml:mi></mml:math>representation.
Physical review. B, Solid state
, 12
(4)
, 1118-1120.
https://doi.org/10.1103/physrevb.12.1118
Identifiers
- DOI
- 10.1103/physrevb.12.1118