Some generic properties of Schrödinger operators with radial potentials
DOI10.1017/prm.2018.129zbMath1436.35099OpenAlexW2910131389MaRDI QIDQ5213158
Peter Poláčik, Darío A. Valdebenito
Publication date: 31 January 2020
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/e77078df7d80de5832cdec91cd1c36a729531d8e
Schrödinger operatorsgeneric propertiesradial potentialsalgebraic independence of eigenfunctionsrational independence of eigenvalues
Spectral theory and eigenvalue problems for partial differential equations (35P99) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75) Schrödinger operator, Schrödinger equation (35J10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Switching control
- Nonlinear scalar field equations. I: Existence of a ground state
- Existence of quasi-periodic solutions for elliptic equations on a cylindrical domain
- Birkhoff normal form for partial differential equations with tame modulus
- Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
- Controllability of the discrete-spectrum Schrödinger equation driven by an external field
- On the essential spectrum of Schrödinger operators
- Bifurcation of quasi-periodic solutions from equilibrium points of reversible dynamical systems
- Inverse problems and chaotic dynamics of parabolic equations on arbitrary spatial domains
- High-dimensional \(\omega\)-limit sets and chaos in scalar parabolic equations
- Introduction to spectral theory. With applications to Schrödinger operators
- Existence of quasiperiodic solutions of elliptic equations on \(\mathbb{R}^{N + 1}\) via center manifold and KAM theorems
- \(L^p\)-regularity for elliptic operators with unbounded coefficients
- Complicated dynamics of scalar reaction diffusion equations with a nonlocal term
- Generic Controllability Properties for the Bilinear Schrödinger Equation
- The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent
- Complicated dynamics of parabolic equations with simple gradient dependence
- Realization of vector fields and dynamics of spatially homogeneous parabolic equations
- Newton's method and periodic solutions of nonlinear wave equations
- A Spillover Phenomenon in the Optimal Location of Actuators
- Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.
This page was built for publication: Some generic properties of Schrödinger operators with radial potentials
