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Teoreticheskaya i Matematicheskaya Fizika, 1977, Volume 31, Number 2, Pages 275–282 (Mi tmf3011)  
This article is cited in 3 scientific papers (total in 3 papers)

Complete sets of observables on the sphere in four-dimensional Euclidean space

I. Lukach
Full-text PDF (935 kB) Citations (3)
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Abstract: Starting from the group-theoretical considerations, all possible total sets of observables on the sphere in the four-dimensional Euclidean space are found. It is shown that there are six non-equivalent total sets of observables and the most general set is connected with the elliptical coordinate system on the sphere.
Received: 19.07.1976
English version:
Theoretical and Mathematical Physics, 1977, Volume 31, Issue 2, Pages 457–461
DOI: https://doi.org/10.1007/BF01036681
Bibliographic databases:
Language: Russian
Citation: I. Lukach, “Complete sets of observables on the sphere in four-dimensional Euclidean space”, TMF, 31:2 (1977), 275–282; Theoret. and Math. Phys., 31:2 (1977), 457–461
Citation in format AMSBIB
\Bibitem{Luk77}
\by I.~Lukach
\paper Complete sets of observables on the sphere in four-dimensional Euclidean space
\jour TMF
\yr 1977
\vol 31
\issue 2
\pages 275--282
\mathnet{http://mi.mathnet.ru/tmf3011}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=673017}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 31
\issue 2
\pages 457--461
\crossref{https://doi.org/10.1007/BF01036681}
Linking options:
  • https://www.mathnet.ru/eng/tmf3011
  • https://www.mathnet.ru/eng/tmf/v31/i2/p275
    • This publication is cited in the following 3 articles:
    1. G. S. Pogosyan, A. Yakhno, “Separations of Variables and Analytic Contractions on Two-Dimensional Hyperboloids”, Phys. Part. Nuclei, 50:2 (2019), 87  crossref
    2. C Grosche, Kh H Karayan, G S Pogosyan, A N Sissakian, “Quantum motion on the three-dimensional sphere: the ellipso-cylindrical bases”, J. Phys. A: Math. Gen., 30:5 (1997), 1629  crossref
    3. I. V. Komarov, “Kowalewski basis for the hydrogen atom”, Theoret. and Math. Phys., 47:1 (1981), 320–324  mathnet  crossref  mathscinet  isi
    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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    Abstract page:259
    Full-text PDF :106
    References:50
    First page:1
     
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