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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
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
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
Linking options:
https://www.mathnet.ru/eng/tmf6122https://doi.org/10.4213/tmf6122 https://www.mathnet.ru/eng/tmf/v153/i1/p68
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