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Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides
- Source :
- Bulletin de la société mathématique de France, Bulletin de la société mathématique de France, Société Mathématique de France, 2016, 144 (2), pp.251-277
- Publication Year :
- 2016
- Publisher :
- HAL CCSD, 2016.
-
Abstract
- 27; International audience; We present an inversion formula which can be used to obtain resolvent expansions near embedded thresholds. As an application, we prove for a class of quantum waveguides the absence of accumulation of eigenvalues and the continuity of the scattering matrix at all thresholds.
- Subjects :
- Physics
Scattering
General Mathematics
010102 general mathematics
Mathematical analysis
resolvent expansions
quantum waveguides
01 natural sciences
Inversion (discrete mathematics)
Matrix (mathematics)
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
0103 physical sciences
Thresholds
010307 mathematical physics
0101 mathematics
[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]
Quantum
Eigenvalues and eigenvectors
Resolvent
scattering matrix
Subjects
Details
- Language :
- English
- ISSN :
- 00379484 and 1777568X
- Database :
- OpenAIRE
- Journal :
- Bulletin de la société mathématique de France, Bulletin de la société mathématique de France, Société Mathématique de France, 2016, 144 (2), pp.251-277
- Accession number :
- edsair.doi.dedup.....8a8ab81793cc5f2914ea430856eb12c7