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JOURNALS // Nanosystems: Physics, Chemistry, Mathematics // Archive

Nanosystems: Physics, Chemistry, Mathematics, 2012 Volume 3, Issue 4, Pages 9–19 (Mi nano690)

MATHEMATICS

Hamiltonian with zero-range potentials having infinite number of eigenvalues

A. A. Boitsev, I. Yu. Popov, O. V. Sokolov

St. Petersburg National Research University of Information Technologies, Mechanics and Optics

Abstract: 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, singular perturbation, point spectrum.

UDC: 517.968

PACS: 02.30.Tb, 42.25.Fx



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