2017
Том 69
№ 9

All Issues

On Some Spectral Properties of the Energy Operator for an Infinite System in a Magnetic Field

Samoilenko V. G.

Full text (.pdf)


Abstract

For systems in a magnetic field, we investigate the form sum of an infinite-dimensional energy operator perturbed by a potential. We also investigate changes in the spectrum of the energy operator in the case of its perturbation by a potential.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 2, pp 351-356.

Citation Example: Samoilenko V. G. On Some Spectral Properties of the Energy Operator for an Infinite System in a Magnetic Field // Ukr. Mat. Zh. - 2004. - 56, № 2. - pp. 284-289.

Full text