On eigenstates for some $sl_2$ related Hamiltonian
Mathematical Physics
2017-07-06 v1 math.MP
Abstract
In this paper we consider the stationary Schroedinger equation for a self-conjugated Hamiltonian , where and is an anti-unitary pair of the canonical Cartan "creating" and "annihilation" operators for the classical Lie algebra taken in the representation with "the lowest weight equals to ". In this paper we prove that this operator has the continuous spectrum. Construction of eigenstates for is given in details.
Keywords
Cite
@article{arxiv.1707.01193,
title = {On eigenstates for some $sl_2$ related Hamiltonian},
author = {Fahad M. Alamrani},
journal= {arXiv preprint arXiv:1707.01193},
year = {2017}
}