On Oscillation Theorem for Two-Component Schrodinger Equation
Atomic Physics
2010-03-11 v2 Chemical Physics
Abstract
Conventional one-dimensional oscillation theorem is found to be violated for multi-component Schr\"{o}dinger equations in a general case while for two-component eigenstates coupled by the sign-constant potential operator the following statements are valid: (1) the ground state () is not degenerate; and (2) the arithmetic mean of nodes , for the two-component wavefunction never exceeds the ordering number of eigenstate: .
Cite
@article{arxiv.0907.1380,
title = {On Oscillation Theorem for Two-Component Schrodinger Equation},
author = {V. I. Pupyshev and E. A. Pazyuk and A. V. Stolyarov and M. Tamanis and R. Ferber},
journal= {arXiv preprint arXiv:0907.1380},
year = {2010}
}
Comments
5 pages