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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 157, Number 1, Pages 3–7
DOI: https://doi.org/10.4213/tmf6260 (Mi tmf6260) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Pauli problem and related mathematical problems

P. A. Belousov, R. S. Ismagilov

N. E. Bauman Moscow State Technical University
Full-text PDF (342 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf6260
Abstract: We formulate several mathematical modifications of the Pauli problem of recovering the particle state from the results of measuring its coordinates and momenta, including the most abstract statement of the problem for two projection-valued measures. We describe how the Pauli problem reduces to the problem of finding the eigenvectors of certain operators. The performed analysis introduces the problems of modifications of Pauli pairs, and the considered topics and formulated problems require further study.
Keywords: Pauli problem, state recovery problem, perturbation theory.
Received: 22.01.2008
English version:
Theoretical and Mathematical Physics, 2008, Volume 157, Issue 1, Pages 1365–1369
DOI: https://doi.org/10.1007/s11232-008-0113-9
Bibliographic databases:
Language: Russian
Citation: P. A. Belousov, R. S. Ismagilov, “Pauli problem and related mathematical problems”, TMF, 157:1 (2008), 3–7; Theoret. and Math. Phys., 157:1 (2008), 1365–1369
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v157/i1/p3
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:117
    First page:24
     
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