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Coherent states in finite quantum mechanics

G.G. Athanasiu
(
- Crete U.
)
,
E.G. Floratos
(
- Crete U.
)

Jan 11, 1994

38 pages

Published in:

Nucl.Phys.B 425 (1994) 343-364

DOI:

10.1016/0550-3213(94)90184-8

Report number:

PRINT-94-0015 (CRETE)

View in:

AMS MathSciNet

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Abstract: (Elsevier)

The “harmonic oscillator”, introduced by Itzykson and Balian, is considered, on finite phase-space lattices with the structure of Galois fields GF [ p 2 ]. We study this system at the classical and quantum mechanical level. Explicit construction of the quantum eigenstates provides us with a detailed understanding of the spectrum of scales relevant to this model. We construct also the coherent states appropriate to the finite Heisenberg-Weyl and affine groups. Possible applications are discussed.

References(26)

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