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Pseudo-Differential Operators in an Operational Model of the Quantum Measurement of Observables

  • Leonid Sevastyanov
  • Alexander Zorin
  • Alexander Gorbachev
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7125)

Abstract

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.

Keywords

operational model quantum measurement Ritz functional Ritz matrix stable numerical method 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Leonid Sevastyanov
    • 1
  • Alexander Zorin
    • 1
  • Alexander Gorbachev
    • 1
  1. 1.Peoples’ Friendship University of RussiaRussia

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