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Sum rules and the domain after the last node of an eigenstate

Abstract:

It is shown that it is possible to establish sum rules that must be satisfied at the nodes and extrema of the eigenstates of confining potentials which are functions of a single variable. At any boundstate energy the Schroedinger equation has two linearly independent solutions one of which is normalisable while the other is not. In the domain after the last node of a boundstate eigenfunction the unnormalisable linearly independent solution has a simple form which enables the construction of f...

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Publication status:
Published

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Publisher copy:
10.1088/0305-4470/39/45/023

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Theoretical Physics
Role:
Author
Journal:
J.Phys. A: Math. Gen. More from this journal
Volume:
39
Issue:
45
Pages:
14153-14163
Publication date:
2006-10-24
DOI:
EISSN:
1361-6447
ISSN:
0305-4470
Language:
English
Keywords:
Pubs id:
pubs:13755
UUID:
uuid:e71e23c0-3014-4eab-945e-87463b2d0221
Local pid:
pubs:13755
Source identifiers:
13755
Deposit date:
2012-12-19

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