Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1404-1411 |
| Seitenumfang | 8 |
| Fachzeitschrift | J. Math. Phys. |
| Jahrgang | 25 |
| Ausgabenummer | 5 |
| Publikationsstatus | Veröffentlicht - 1984 |
Abstract
Zitieren
- Standard
- Harvard
- Apa
- Vancouver
- BibTex
- RIS
in: J. Math. Phys., Jahrgang 25, Nr. 5, 1984, S. 1404-1411.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 -