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An analytical approach to the Schrodinger-Newton equations

Abstract:

In this paper we present the second part of a study of spherically-symmetric solutions of the Schrödinger-Newton equations for a single particle (Penrose R 1998 Quantum computation, entanglement and state reduction Phil. Trans. R. Soc. 356 1-13). We show that there exists an infinite family of normalizable, finite energy solutions which are characterized by being smooth and bounded for all values of the radial coordinate. We therefore provide analytical support for our earlier numerical integ...

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Publication status:
Published

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Publisher copy:
10.1088/0951-7715/12/2/002

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
NONLINEARITY
Volume:
12
Issue:
2
Pages:
201-216
Publication date:
1999-03-01
DOI:
EISSN:
1361-6544
ISSN:
0951-7715
Language:
English
Pubs id:
pubs:10545
UUID:
uuid:8ec4d2d0-0a19-43dc-a217-608fcf1b17e2
Local pid:
pubs:10545
Source identifiers:
10545
Deposit date:
2012-12-19

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