Scattering theory with unitary twists Article Swipe
Moritz Doll
,
Ksenia Fedosova
,
Anke Pohl
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1007/s11854-023-0313-0
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1007/s11854-023-0313-0
We study the spectral properties of the Laplace operator associated to a hyperbolic surface in the presence of a unitary representation of the fundamental group. Following the approach by Guillopé and Zworski, we establish a factorization formula for the twisted scattering determinant and describe the behavior of the scattering matrix in a neighborhood of 1/2.
Related Topics
Concepts
Unitary state
Scattering
Unitary representation
Factorization
Unitary matrix
Matrix decomposition
S-matrix
Mathematics
Scattering theory
Unitarity
Operator (biology)
Representation (politics)
Matrix (chemical analysis)
Pure mathematics
Unitary operator
Physics
Algebra over a field
Quantum mechanics
Eigenvalues and eigenvectors
Hilbert space
Chemistry
Lie group
Law
Algorithm
Transcription factor
Biochemistry
Gene
Repressor
Politics
Chromatography
Political science
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1007/s11854-023-0313-0
- https://link.springer.com/content/pdf/10.1007/s11854-023-0313-0.pdf
- OA Status
- hybrid
- References
- 11
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4389992382
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https://openalex.org/W4389992382Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1007/s11854-023-0313-0Digital Object Identifier
- Title
-
Scattering theory with unitary twistsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2023Year of publication
- Publication date
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2023-12-12Full publication date if available
- Authors
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Moritz Doll, Ksenia Fedosova, Anke PohlList of authors in order
- Landing page
-
https://doi.org/10.1007/s11854-023-0313-0Publisher landing page
- PDF URL
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https://link.springer.com/content/pdf/10.1007/s11854-023-0313-0.pdfDirect link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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hybridOpen access status per OpenAlex
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https://link.springer.com/content/pdf/10.1007/s11854-023-0313-0.pdfDirect OA link when available
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Unitary state, Scattering, Unitary representation, Factorization, Unitary matrix, Matrix decomposition, S-matrix, Mathematics, Scattering theory, Unitarity, Operator (biology), Representation (politics), Matrix (chemical analysis), Pure mathematics, Unitary operator, Physics, Algebra over a field, Quantum mechanics, Eigenvalues and eigenvectors, Hilbert space, Chemistry, Lie group, Law, Algorithm, Transcription factor, Biochemistry, Gene, Repressor, Politics, Chromatography, Political scienceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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11Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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