Eur. Phys. J. B (2014) 87: 181
https://doi.org/10.1140/epjb/e2014-50002-0

Regular Article

Electron energy spectrum for a bent chain of nanospheres

¹ Mordovian State University, Bolshevistskaya, 68, 430000 Saransk, Russia
² ITMO University, Kronverkskiy, 49, 197101 St. Petersburg, Russia

^a e-mail: popov1955@gmail.com

Received: 3 January 2014
Received in final form: 27 May 2014
Published online: 7 August 2014

Abstract

An infinite bent chain of nanospheres connected by wires is considered. We assume that there are δ-like potentials at the contact points. A solvable mathematical model based on the theory of self-adjoint extensions of symmetric operators is constructed. The spectral equation for the model operator is derived in an explicit form. It is shown that the Hamiltonian has non-empty point spectrum. The positions of the eigenvalues for different values of the system parameters (the length of the connecting wires, the intensities of δ-interactions and the bent angle) are found.