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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 153, Number 1, Pages 68–85
DOI: https://doi.org/10.4213/tmf6122 (Mi tmf6122) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Von Neumann–Wigner theorem: Level repulsion and degenerate eigenvalues

Yu. N. Demkova, P. B. Kurasovab

a V. A. Fock Institute of Physics, Saint-Petersburg State University
b Lund University
Full-text PDF (461 kB) Citations (17)
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DOI: https://doi.org/10.4213/tmf6122
Abstract: We investigate the spectral properties of Schrödinger operators with point interactions, focusing attention on the interplay between level repulsion (von Neumann–Wigner theorem) and the symmetry of the configuration of point interactions. The explicit solution of the problem allows observing level repulsion for two centers. For a large number of centers, we investigate the families of point interactions leading to the maximum degeneracy.
Keywords: von Neumann–Wigner theorem, zero-range potential, extension theory, inverse spectral problem.
Received: 24.01.2007
English version:
Theoretical and Mathematical Physics, 2007, Volume 153, Issue 1, Pages 1407–1422
DOI: https://doi.org/10.1007/s11232-007-0124-y
Bibliographic databases:
Language: Russian
Citation: Yu. N. Demkov, P. B. Kurasov, “Von Neumann–Wigner theorem: Level repulsion and degenerate eigenvalues”, TMF, 153:1 (2007), 68–85; Theoret. and Math. Phys., 153:1 (2007), 1407–1422
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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