@inbook {IOPORT.06068735, author = {Sevastyanov, Leonid and Zorin, Alexander and Gorbachev, Alexander}, title = {Pseudo-differential operators in an operational model of the quantum measurement of observables.}, year = {2012}, booktitle = {Mathematical modeling and computational science. International conference, MMCP 2011, Star\'a Lesn\'a, Slovakia, July 4--8, 2011. Revised selected papers}, isbn = {978-3-642-28211-9}, pages = {174-181}, publisher = {Berlin: Springer}, doi = {10.1007/978-3-642-28212-6_17}, abstract = {Summary: 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.}, identifier = {06068735}, }