Imprecise measurements in quantum mechanics
Heinonen, Teiko (2006-01-14)
Imprecise measurements in quantum mechanics
(14.01.2006)
Turun yliopisto Annales Universitatis Turkuensis AI 344
Julkaisun pysyvä osoite on:
https://urn.fi/URN:ISBN:951-29-2980-5
https://urn.fi/URN:ISBN:951-29-2980-5
Kuvaus
Siirretty Doriasta
Tiivistelmä
In this thesis the structure and properties of imprecise quantum measurements are investigated. The starting point for this investigation is the representation of a quantum observable as a normalized positive operator measure.
A general framework to describe measurement inaccuracy is presented. Requirements for accurate measurements are discussed, and the relation of inaccuracy to some optimality criteria is studied.
A characterization of covariant observables is given in the case when they are imprecise versions of a sharp observable. Also the properties of such observables are studied.
The case of position and momentum observables is studied. All position and momentum observables are characterized, and the joint positionmomentum measurements are discussed.
A general framework to describe measurement inaccuracy is presented. Requirements for accurate measurements are discussed, and the relation of inaccuracy to some optimality criteria is studied.
A characterization of covariant observables is given in the case when they are imprecise versions of a sharp observable. Also the properties of such observables are studied.
The case of position and momentum observables is studied. All position and momentum observables are characterized, and the joint positionmomentum measurements are discussed.
Kokoelmat
- Väitöskirjat [2822]