Details
| Original language | English |
|---|---|
| Pages (from-to) | 859-881 |
| Number of pages | 23 |
| Journal | Found. Phys. |
| Volume | 13 |
| Issue number | 8 |
| Publication status | Published - 1983 |
Abstract
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In: Found. Phys., Vol. 13, No. 8, 1983, p. 859-881.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Physical uniformities on the state space of nonrelativistic quantum mechanics
AU - Werner, Reinhard F.
PY - 1983
Y1 - 1983
N2 - Uniformities describing the distinguishability of states and of observables are discussed in the context of general statistical theories and are shown to be related to distinguished subspaces of continuous observables and states, respectively. The usual formalism of quantum mechanics contains no such physical uniformity for states. Using recently developed tools of quantum harmonic analysis, a natural one-to-one correspondence between continuous subspaces of nonrelativistic quantum and classical mechanics is established, thus exhibiting a close interrelation between physical uniformities for quantum states and compactifications of phase space. General properties of the completions of the quantum state space with respect to these uniformities are discussed.
AB - Uniformities describing the distinguishability of states and of observables are discussed in the context of general statistical theories and are shown to be related to distinguished subspaces of continuous observables and states, respectively. The usual formalism of quantum mechanics contains no such physical uniformity for states. Using recently developed tools of quantum harmonic analysis, a natural one-to-one correspondence between continuous subspaces of nonrelativistic quantum and classical mechanics is established, thus exhibiting a close interrelation between physical uniformities for quantum states and compactifications of phase space. General properties of the completions of the quantum state space with respect to these uniformities are discussed.
U2 - 10.1007/BF01906273
DO - 10.1007/BF01906273
M3 - Article
VL - 13
SP - 859
EP - 881
JO - Found. Phys.
JF - Found. Phys.
SN - 1572-9516
IS - 8
ER -