Dispersion for Schrödinger operators on regular trees
DOI10.1007/s13324-022-00664-yzbMath1487.81096arXiv2009.03153OpenAlexW3083524049MaRDI QIDQ2119599
Publication date: 29 March 2022
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.03153
Trees (05C05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Applications of functional analysis in quantum physics (46N50) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
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- Dispersion for the Schrödinger equation on the line with multiple Dirac delta potentials and on delta trees
- Bethe-Sommerfeld conjecture
- Extended states in the Anderson model on the Bethe lattice
- Poisson kernel expansions for Schrödinger operators on trees
- On the spectral theory of trees with finite cone type
- Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit
- Periodic Jacobi matrices on trees
- Recent results of quantum ergodicity on graphs and further investigation
- Stability of standing waves for NLS with perturbed Lamé potential
- Dispersive effects for the Schrödinger equation on the tadpole graph
- Dispersion for Schrödinger operators with one-gap periodic potentials on \(\mathbb R^1\)
- Dispersive effects and high frequency behaviour for the Schrödinger equation in star-shaped networks
- Absolutely continuous spectrum for quantum trees
- Perturbation theory for the periodic multidimensional Schrodinger operator and the Bethe-Sommerfeld conjecture
- Dispersion for Schrödinger Equation with Periodic Potential in 1D
- Bessel Functions: Monotonicity and Bounds
- Quantum ergodicity for large equilateral quantum graphs
- Approximations for the Bessel and Airy functions with an explicit error term
- On the time decay of a wave packet in a one-dimensional finite band periodic lattice
- Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein–Gordon equations
- Upper bound on √x Jν(x) and its applications
- Error Bounds for Stationary Phase Approximations
