Scattering theory and adiabatic decomposition of the \(\zeta\)-determinant of the Dirac Laplacian

DOI10.4310/MRL.2002.v9.n1.a2zbMath0997.58016OpenAlexW2081049023MaRDI QIDQ1599941

Jinsung Park, Krzysztof P. Wojciechowski

Publication date: 13 November 2002

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

Full work available at URL: https://doi.org/10.4310/mrl.2002.v9.n1.a2

zbMATH Keywords

scattering theorysmall eigenvaluesadiabatic decompositionDirac Laplacian\(\zeta\)-determinant

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) PDEs in connection with quantum mechanics (35Q40) Determinants and determinant bundles, analytic torsion (58J52)

Related Items (10)

Zeta regularized determinants for conic manifolds ⋮ Adiabatic decomposition of the \(\zeta\)-determinant and scattering theory ⋮ Rosenblatt distribution subordinated to Gaussian random fields with long-range dependence ⋮ Analytic surgery of the zeta function ⋮ On the gluing problem for the spectral invariants of Dirac operators ⋮ Regularized determinants of Laplace-type operators, analytic surgery, and relative determinants ⋮ Zeta functions of Dirac and Laplace-type operators over finite cylinders ⋮ On gluing formulas for the spectral invariants of Dirac type operators ⋮ Adiabatic decomposition of the \(\xi\)-determinant and Dirichlet to Neumann operator ⋮ On the gluing problem for Dirac operators on manifolds with cylindrical ends

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