Functional determinants for the Dirac equation with mixed pseudodifferential boundary conditions over finite cylinders
DOI10.1063/1.1860591zbMath1067.58026OpenAlexW2010636839MaRDI QIDQ3024298
Publication date: 30 June 2005
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/9d1c520ce9c26f85ceea6066fd55936b8752af03
Variational methods applied to PDEs (35A15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Constructive quantum field theory (81T08) Boundary value problems on manifolds (58J32) Determinants and determinant bundles, analytic torsion (58J52) Pseudodifferential operators (47G30)
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Cites Work
- Adiabatic limits of the \(\eta\)-invariants. The odd-dimensional Atiyah- Patodi-Singer problem
- Zeta function regularization of path integrals in curved spacetime
- The \(\zeta\)-determinant and the additivity of the \(\eta\)-invariant on the smooth, self-adjoint Grassmannian
- Spinors and forms on the ball and the generalized cone
- Spectral boundary conditions for generalizations of Laplace and Dirac operators
- The \(\zeta\)-determinant and Quillen determinant for a Dirac operator on a manifold with boundary
- Zeta determinants on manifolds with boundary
- R-torsion and the Laplacian on Riemannian manifolds
- ADIABATIC DECOMPOSITION OF THE -DETERMINANT OF THE DIRAC LAPLACIAN. I. THE CASE OF AN INVERTIBLE TANGENTIAL OPERATOR
- The -determinant of generalized APS boundary problems over the cylinder
- Spectral asymmetry and Riemannian Geometry. I
- The Regularity of the Eta Function for Perturbations of Order -(dim X) of the Atiyah-Patodi-Singer Boundary Problem
- DIRAC FIELDS IN THE BACKGROUND OF A MAGNETIC FLUX STRING AND SPECTRAL BOUNDARY CONDITIONS
- Singular Integrals and Boundary Value Problems
- Spectral invariants for the Dirac equation on the d -ball with various boundary conditions
- Poles of zeta and eta functions for perturbations of the Atiyah-Patodi-Singer problem
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