Inequalities à la Pólya for the Aharonov-Bohm eigenvalues of the disk
DOI10.4171/JST/506zbMATH Open1547.3547MaRDI QIDQ6594566
Iosif Polterovich, Michael Levitin, Nikolay Filonov, David A. Sher
Publication date: 28 August 2024
Published in: Journal of Spectral Theory (Search for Journal in Brave)
eigenvalueslattice pointsBessel functionsWeyl's lawmagnetic Laplacianzeros of Bessel functions and their derivatives
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Lattice points in specified regions (11P21) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)
Cites Work
- Title not available (Why is that?)
- On the eigenvalues of Aharonov-Bohm operators with varying poles
- Interlacing of positive real zeros of Bessel functions
- Effet d'Aharonov-Bohm sur un état borné de l'équation de Schrödinger. (Aharonov-Bohm effect for a bounded state of the Schrödinger equation)
- Pólya's conjecture in the presence of a constant magnetic field
- Upper bounds for the ground state energy of the Laplacian with zero magnetic field on planar domains
- Isoperimetric inequalities for the magnetic Neumann and Steklov problems with Aharonov-Bohm magnetic potential
- Significance of Electromagnetic Potentials in the Quantum Theory
- Eigenvalue estimates for the Aharonov-Bohm operator in a domain
- On the Eigenvalues of Vibrating Membranes†
- A diamagnetic inequality for semigroup differences
- Eigenvalues variations for Aharonov-Bohm operators
- On a Theorem of Polya
- Remarks on eigenvalue estimates and semigroup domination
- Topics in Spectral Geometry
- Pólya's conjecture for Euclidean balls
- Joint asymptotic expansions for Bessel functions
- Weyl's law under minimal assumptions
Related Items (1)
This page was built for publication: Inequalities à la Pólya for the Aharonov-Bohm eigenvalues of the disk
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6594566)