A Gutzwiller trace formula for Dirac operators on a stationary spacetime
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Publication:2110300
DOI10.1007/s12220-022-01084-xOpenAlexW3199757724MaRDI QIDQ2110300
Publication date: 21 December 2022
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.09219
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Pseudodifferential and Fourier integral operators on manifolds (58J40)
Cites Work
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- The local counting function of operators of Dirac and Laplace type
- The spectral function of a first order elliptic system
- 100 years of Weyl's law
- Spectral asymptotics for first order systems
- The analysis of linear partial differential operators. III: Pseudo-differential operators
- Wave equations on Lorentzian manifolds and quantization.
- High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows
- The analysis of linear partial differential operators. IV: Fourier integral operators
- Pseudo-Riemannian geodesics and billiards
- Normally hyperbolic operators, the Huygens property and conformal geometry
- Residues of the eta function for an operator of Dirac type
- The spectrum of positive elliptic operators and periodic bicharacteristics
- A semiclassical approach to the Dirac equation
- Semiclassical principal symbols and Gutzwiller's trace formula
- Trace formulas and the Conley-Zehnder index
- Path integration over closed loops and Gutzwiller's trace formula
- Formule de Poisson pour les variétés riemanniennes
- A Gutzwiller trace formula for stationary space-times
- Semi-classical mass asymptotics on stationary spacetimes
- A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
- Quantum ergodic restriction theorems: manifolds without boundary
- Spectrum of the Laplace operator and periodic geodesics: thirty years after
- Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes
- The spectral function of an elliptic operator
- Fourier integral operators. I
- Fourier integral operators. II
- Global propagator for the massless Dirac operator and spectral asymptotics
- Classical and Quantum Fields on Lorentzian Manifolds
- Zitterbewegung and semiclassical observables for the Dirac equation
- Spectre D'Un hamiltonien quantique et mecanique classique
- Timelike periodic trajectories in spatially compact Lorentz manifolds
- Wavetrace asymptotics for operators of dirac type
- On global representation of lagrangian distributions and solutions of hyperbolic equations
- Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2 Particles
- Spectral asymptotics on stationary space-times
- Microlocal analysis and evolution equations
- Cauchy problem and Green's functions for first order differential operators and algebraic quantization
- Fourier integral operators
- Periodic trajectories on stationary Lorentzian manifolds
- Fourier Tauberian theorems and applications
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