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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Sevastyanov, L., Zorin, A., Gorbachev, A. (2012). Pseudo-Differential Operators in an Operational Model of the Quantum Measurement of Observables. In: Adam, G., Buša, J., Hnatič, M. (eds) Mathematical Modeling and Computational Science. MMCP 2011. Lecture Notes in Computer Science, vol 7125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28212-6_17
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DOI: https://doi.org/10.1007/978-3-642-28212-6_17
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