Spin dependent point potentials in one and three dimensions
数学物理
2007-05-23 v2 math.MP
摘要
We consider a system realized with one spinless quantum particle and an array of spins 1/2 in dimension one and three. We characterize all the Hamiltonians obtained as point perturbations of an assigned free dynamics in terms of some ``generalized boundary conditions''. For every boundary condition we give the explicit formula for the resolvent of the corresponding Hamiltonian. We discuss the problem of locality and give two examples of spin dependent point potentials that could be of interest as multi-component solvable models.
引用
@article{arxiv.math-ph/0609055,
title = {Spin dependent point potentials in one and three dimensions},
author = {Claudio Cacciapuoti and Raffaele Carlone and Rodolfo Figari},
journal= {arXiv preprint arXiv:math-ph/0609055},
year = {2007}
}
备注
15 pages, some misprints corrected, one example added, some references modified or added