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Supersymmetric quantum merchanics, orthogonal states and the Pauli exclusion principle

Abstract:

Starting from the orthonormal eigenfunctions which are the solutions of the Schrödinger equation for a given potential it is shown that sets of functions orthogonal to the eigenstates inside a region of varying radius R may be constructed. These sets of functions may in turn be used to construct a new set of functions which satisfy bound-state boundary conditions and are themselves solutions of the Schrödinger equation in a new potential. The bound-state spectrum of the new potential is relat...

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Publication status:
Published

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Publisher copy:
10.1088/0305-4470/37/21/014

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
Journal:
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume:
37
Issue:
21
Pages:
5689-5696
Publication date:
2004-05-28
DOI:
EISSN:
1361-6447
ISSN:
0305-4470
Language:
English
Pubs id:
pubs:27585
UUID:
uuid:8a88cf6e-2f24-422d-9cdd-8c0c33c096f9
Local pid:
pubs:27585
Source identifiers:
27585
Deposit date:
2012-12-19

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