Details
| Original language | English |
|---|---|
| Pages (from-to) | 1404-1411 |
| Number of pages | 8 |
| Journal | J. Math. Phys. |
| Volume | 25 |
| Issue number | 5 |
| Publication status | Published - 1984 |
Abstract
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In: J. Math. Phys., Vol. 25, No. 5, 1984, p. 1404-1411.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Quantum harmonic analysis on phase space
AU - Werner, R. F.
PY - 1984
Y1 - 1984
N2 - Relative to an irreducible representation of the canonical commutation relations, convolutions between quantum mechanical operators and between functions and operators are defined, for which the usual Weyl transform acts as a Fourier transform. Basic properties of these operations are developed in close analogy to harmonic analysis on R2n. Using the quantum version of Wiener's approximation theorem, a natural one-to-one correspondence between the closed, phase-space translation invariant subspaces of classical and quantum observables is established.
AB - Relative to an irreducible representation of the canonical commutation relations, convolutions between quantum mechanical operators and between functions and operators are defined, for which the usual Weyl transform acts as a Fourier transform. Basic properties of these operations are developed in close analogy to harmonic analysis on R2n. Using the quantum version of Wiener's approximation theorem, a natural one-to-one correspondence between the closed, phase-space translation invariant subspaces of classical and quantum observables is established.
U2 - 10.1063/1.526310
DO - 10.1063/1.526310
M3 - Article
VL - 25
SP - 1404
EP - 1411
JO - J. Math. Phys.
JF - J. Math. Phys.
SN - 1089-7658
IS - 5
ER -