A reduction theorem for time dependent Schrödinger operator with finite differentiable unbounded perturbation

DOI10.1063/1.4803852zbMath1282.81086OpenAlexW2033669572MaRDI QIDQ5402259

Xiao Ping Yuan, Kangkang Zhang

Publication date: 6 March 2014

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

Full work available at URL: https://doi.org/10.1063/1.4803852

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Groups and algebras in quantum theory and relations with integrable systems (81R12) Perturbations in context of PDEs (35B20) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (14)

Quasi-periodic solutions for the derivative nonlinear Schrödinger equation with finitely differentiable nonlinearities ⋮ Quasi-periodic solutions for perturbed generalized KdV equation ⋮ Smooth quasi-periodic solutions for the perturbed mKdV equation ⋮ Reducibility for Schrödinger operator with finite smooth and time-quasi-periodic potential ⋮ Reducibility of quantum harmonic oscillator on $\mathbb{R}^d$ with differential and quasi-periodic in time potential ⋮ Reducibility for wave equations of finitely smooth potential with periodic boundary conditions ⋮ Quasi-periodic solution of quasi-linear fifth-order KdV equation ⋮ The stability of Sobolev norms for the linear wave equation with unbounded perturbations ⋮ Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. I ⋮ Reducibility of the quantum harmonic oscillator in d-dimensions with finitely differentiable perturbations ⋮ Reducibility, Lyapunov exponent, pure point spectra property for quasi-periodic wave operator ⋮ KAM tori for the derivative quintic nonlinear Schrödinger equation ⋮ Invariant tori for the Schrödinger equation in the Heisenberg Ferromagnetic chain ⋮ KAM tori for generalized Benjamin-Ono equation

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