Landau automorphic functions on Cn of magnitude ν

DOI10.1063/1.2958090zbMath1152.81448arXiv0705.1763OpenAlexW3125587293MaRDI QIDQ5505021

Ahmed Intissar, Allal Ghanmi

Publication date: 23 January 2009

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

Full work available at URL: https://arxiv.org/abs/0705.1763

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Applications of operator theory in the physical sciences (47N50) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Automorphic functions in symmetric domains (32N15)

Related Items (12)

True Bargmann transforms for rank one automorphic functions associated with Landau levels ⋮ Concrete description of the (Г, χ)-theta Fock-Bargmann space for rank one in high dimension ⋮ On holomorphic theta functions associated with rank \(r\) isotropic discrete subgroups ⋮ Complex creation operator and planar automorphic functions ⋮ Series and integral representations of the Taylor coefficients of the Weierstrass sigma-function ⋮ Analytic and arithmetic properties of the \((\Gamma ,\chi )\)-automorphic reproducing kernel function and associated Hermite-Gauss series ⋮ Construction of concrete orthonormal basis for (L2, Γ, χ)-theta functions associated to discrete subgroups of rank one in $({\mathbb {C}},+)$(C,+) ⋮ Concrete \(L^2\)-spectral analysis of a bi-weighted \(\Gamma \)-automorphic twisted Laplacian ⋮ A characterization of planar mixed automorphic forms ⋮ Spectral analysis on planar mixed automorphic forms ⋮ On concrete spectral properties of a twisted Laplacian associated with a central extension of the real Heisenberg group ⋮ On the Bochner Laplacian operator on theta line bundle over quasi-tori

Cites Work

• Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemann manifold
• Schrödinger operators with magnetic fields. I: General interactions
• Explicit formulas for reproducing kernels of generalized Bargmann spaces on Cn
• Asymptotic of complex hyperbolic geometry and L2-spectral analysis of Landau-like Hamiltonians
• On the dimension of the space of theta functions
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