Bound states of the Schrodinger-Newton model in low dimensions

We prove the existence of quasi-stationary symmetric solutions with exactly n >= 0 zeros and uniqueness for n = 0 for the Schrodinger-Newton model in one dimension and in two dimensions along with an angular momentum m >= 0. Our result is based on an analysis of the corresponding system of second-order differential equations. (C) 2010 Elsevier Ltd. All rights reserved.


Published in:
Nonlinear Analysis-Theory Methods & Applications, 73, 3171-3178
Year:
2010
Keywords:
Laboratories:




 Record created 2011-12-16, last modified 2018-03-17


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)