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Erschienen in:
2012 | OriginalPaper | Buchkapitel
Pseudo-Differential Operators in an Operational Model of the Quantum Measurement of Observables
verfasst von : Leonid Sevastyanov, Alexander Zorin, Alexander Gorbachev
Erschienen in: Mathematical Modeling and Computational Science
Verlag: Springer Berlin Heidelberg
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The measurement procedure transforms an isolated (closed) quantum system into an open one. The operators of observables of a rather simple explicit form are converted into pseudo-differential operators of more complicated form. A stable numerical method for studying the discrete spectra of the measured observables on the basis of the observed discrete spectra of the expected observables is developed. Thus, a method for establishing a correspondence between theoretical data in the conventional quantum mechanics of (isolated) quantum objects and the experimental data on their measured values for open quantum objects is proposed.