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SUSY transformation of the Green function and a trace formula

Abstract:

An integral relation is established between the Green functions corresponding to two Hamiltonians which are supersymmetric (SUSY) partners and in general may possess both discrete and continuous spectra. It is shown that when the continuous spectrum is present the trace of the difference of the Green functions for SUSY partners is a finite quantity which may or may not be equal to zero despite the divergence of the traces of each Green function. Our findings are illustrated by using the free ...

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Publication status:
Published

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Publisher copy:
10.1088/0305-4470/38/34/009

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Theoretical Physics
Role:
Author
Journal:
J. Phys. A: Math. Gen.
Volume:
38
Issue:
34
Pages:
7557-7565
Publication date:
2005-07-17
DOI:
EISSN:
1361-6447
ISSN:
0305-4470
URN:
uuid:8d1e8214-3caa-4d15-ad60-ec3cc8370660
Source identifiers:
23939
Local pid:
pubs:23939
Language:
English
Keywords:

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