Eur. Phys. J. D (2013) 67: 209
https://doi.org/10.1140/epjd/e2013-40265-4

Regular Article

Spectroscopic peculiarities in a 2D Coulomb potential under Aharonov-Bohm effect

¹ Mathematics DepartmentZhukovsky–Gagarin Air Force Academy, Starykh Bolshevikov st.54 “A”, 394064 Voronezh, Russia
² Digital Technologies Department, Voronezh State University, Universitetskaya sq.1, 394006 Voronezh, Russia
³ Vietnam National University Ho Chi Minh City, Institute of Technology, Department of Physics, 268 Ly Thuong Kiet Street, District 10, Ho Chi Minh City, Vietnam
⁴ Theoretical Physics Department, Voronezh State University, Universitetskaya sq.1, 394006 Voronezh, Russia

^a e-mail: melechp@yandex.ru

Received: 25 April 2013
Received in final form: 2 July 2013
Published online: 18 October 2013

Abstract

In this paper we demonstrate some spectroscopic peculiarities which occur in the presence of the Aharonov-Bohm effect. As an object of investigation the system of a two-dimensional (2D) Coulomb potential in the presence of the Aharonov-Bohm flux is considered. It is shown, that the bound states in such a system “feel” the presence of the magnetic flux. In particular, the numerical analysis shows that the oscillator strengths of optical transitions turn into zero at some “special” values of the Aharonov-Bohm flux. As a result, some spectral lines (namely, the intensities of spectral lines) will disappear and this fact may be considered as an observable optical manifestation of the Aharonov-Bohm effect in the considered system. The dynamic polarisability of the bound states of an electron in such a system is also analyzed. It is shown numerically that the dynamic polarisability “strongly” depends on the values of the Aharonov-Bohm flux.