Krein's spectral shift function and Fredholm determinants as efficient methods to study supersymmetric quantum mechanics

DOI10.1007/BF00955200zbMath0626.46062OpenAlexW1980239551MaRDI QIDQ580672

Barry Simon, D. Bollé, Harald Grosse, Friedrich Gesztesy

Publication date: 1987

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00955200

zbMATH Keywords

anomalysupersymmetric quantum mechanicsWitten indexspectral asymmetryKrein's spectral shift functiontopological invariancetwo- dimensional magnetic field problem

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) (S)-matrix theory, etc. in quantum theory (81U20) Geometry and quantization, symplectic methods (81S10) Scattering theory of linear operators (47A40) Miscellaneous applications of functional analysis (46N99)

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Topological invariance of the Witten index, Relative index theorems and supersymmetric scattering theory, On \(A\)-integrability of the spectral shift function of unitary operators arising in the Lax-Phillips scattering theory, Witten index, axial anomaly, and Krein’s spectral shift function in supersymmetric quantum mechanics