Asymptotic of complex hyperbolic geometry and L2-spectral analysis of Landau-like Hamiltonians
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Publication:3024231
DOI10.1063/1.1853505zbMath1076.35084OpenAlexW2066237450MaRDI QIDQ3024231
Publication date: 30 June 2005
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1853505
Harmonic analysis on homogeneous spaces (43A85) Applications of operator theory in the physical sciences (47N50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (18)
Quantum Hall effect on higher-dimensional spaces ⋮ Effective Wess-Zumino-Witten action for edge states of quantum Hall systems on Bergman ball ⋮ Weighted Bergman-Dirichlet and Bargmann-Dirichlet spaces in high dimension ⋮ Solving the heat equation for a perturbed magnetic Laplacian on the complex plane ⋮ Spectral properties of weighted Cauchy singular integral transform on S-poly-Bargmann spaces ⋮ Generalized second Bargmann transforms associated with the hyperbolic Landau levels on the Poincaré disk ⋮ A special orthogonal complement basis for holomorphic-Hermite functions and associated 1d- and 2d-fractional Fourier transforms ⋮ Concrete \(L^2\)-spectral analysis of a bi-weighted \(\Gamma \)-automorphic twisted Laplacian ⋮ Non-trivial 1d and 2d Segal–Bargmann transforms ⋮ S-polyregular Bargmann spaces ⋮ Spectral analysis on planar mixed automorphic forms ⋮ Complex Hermite functions as Fourier–Wigner transform ⋮ The slice hyperholomorphic Bergman space on \(\mathbb {B}_{R}\): integral representation and asymptotic behavior ⋮ On concrete spectral properties of a twisted Laplacian associated with a central extension of the real Heisenberg group ⋮ Spectral density for the Schrödinger operator with magnetic field in the unit complex ball: solutions of evolutionary equations and applications to special functions ⋮ Landau automorphic functions on Cn of magnitude ν ⋮ Geometric properties of the magnetic Laplacian on the Euclidean 4-space ⋮ Generalized weighted Bergman-Dirichlet and Bargmann-Dirichlet spaces: explicit formulae for reproducing kernels and asymptotics
Cites Work
- On the Landau levels on the hyperbolic plane
- Some results in \(H^ p\) theory for the Heisenberg group
- Potential and scattering theory on wildly perturbed domains
- \(L^2\)-concrete spectral analysis of the invariant Laplacian \(\Delta_{\alpha\beta}\) in the unit complex ball \(B^n\)
- Hilbert space for charged particles in perpendicular magnetic fields
- Die Differentialgleichungen in der Theorie der elliptischen Modulfunktionen. (The differential equations in the theory of elliptic modular functions)
- Explicit formulas for reproducing kernels of generalized Bargmann spaces on Cn
- The dirichlet problem for the bergman laplacian. I
- H^p-theory for generalized M-harmonic functions in the unit ball
- Selberg trace formulae for heat and wave kernels of Maass Laplacians on compact forms of the complex hyperbolic space \(H^n(\mathbb C)\), \(n\geq 2\)
- Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I
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