arXiv subjects
Publications and source records attributed to A. V. Kozhedub.
The effective reggeon field theory in zero transverse dimension ("the toy model") is studied. The transcendental equation for eigenvalues of the Hamiltonian of this theory is derived and solved numerically. The found eigenvalues are used for the calculation of the pomeron propagator.
We propose a new approach for modeling the quantum ring single particle energy spectrum. The approach is based on separation of variables in the Schrödinger equation in oblate spheroidal coordinates. We consider a model of a spheroidal quantum ring with infinite walls. Our simple model allowed us to study the spectra for quantum rings of different shapes. The spectrum is calculated for the ground and several excited states and the ring shape dependence of the spectrum is demonstrated. The spectrum can demonstrate parabolic or non-parabolic dependence on the magnetic quantum number for different shapes of the ring