Pseudo-differential operators in an operational model of the quantum measurement of observables

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. © 2012 Springer-Verlag.

Авторы
Язык
Английский
Страницы
174-181
Статус
Опубликовано
Том
7125 LNCS
Год
2012
Организации
  • 1 Peoples' Friendship University of Russia, Russian Federation
Ключевые слова
operational model; quantum measurement; Ritz functional; Ritz matrix; stable numerical method
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