Coulomb problem on single- and double-wall cylinders.
In this paper we calculate the energies of ground and excited states of two opposite charge carriers confined on a single- or double-wall cylindrical surface. A nontrivial dependence of excited state energies on cylinder radius value (for the case of a single-wall cylinder) is found, and the explanation of this behavior is based on symmetry properties of the corresponding wavefunctions. The crossover from a one-dimensional problem to a two-dimensional one with increase of the radius value is discussed in detail. For the double-wall cylinder, we obtain and analyze the dependence of ground state energy on interwall distance and ratio between particle masses.
Department of Physics, University of Toronto, 60 St George Street, Toronto, ON, M5S 1A7, Canada. deinega@physics.utoronto.ca
Alexei
A
Deinega
Nina
N
Voronova
Yurii
Y
Lozovik