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research article
Bound states of the Schrödinger-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.
Use this identifier to reference this record
Type
research article
Web of Science ID
WOS:000281352600003
Authors
Publication date
2010
Published in
Volume
73
Start page
3171
End page
3178
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 16, 2011