Geodesic
Hamiltonian with zero-range potentials having infinite number of eigenvalues
Nanosistemy: fizika, himiâ, matematika, Tome 3 (2012) no. 4, pp. 9-19

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Infinite chain of zero-range potentials having the Hamiltonian with infinite number of eigenvalues below the continuous spectrum is constructed. The model is based on the theory of self-adjoint extensions of symmetric operators.
Keywords: operator extensions theory, point spectrum.
Mots-clés : singular perturbation 
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     author = {A. A. Boitsev and I. Yu. Popov and O. V. Sokolov},
     title = {Hamiltonian with zero-range potentials having infinite number of eigenvalues},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {9--19},
     publisher = {mathdoc},
     volume = {3},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/NANO_2012_3_4_a0/}
}
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A. A. Boitsev; I. Yu. Popov; O. V. Sokolov. Hamiltonian with zero-range potentials having infinite number of eigenvalues. Nanosistemy: fizika, himiâ, matematika, Tome 3 (2012) no. 4, pp. 9-19. http://geodesic.mathdoc.fr/item/NANO_2012_3_4_a0/