KAM tori for the system of coupled quantum harmonic oscillators with reversible perturbations
From MaRDI portal
Publication:6612563
DOI10.1007/s10884-022-10203-9MaRDI QIDQ6612563
Publication date: 1 October 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Almost and pseudo-almost periodic solutions to PDEs (35B15) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- KAM for autonomous quasi-linear perturbations of mKdV
- KAM for the Klein Gordon equation on \(\mathbb {S}^d\)
- KAM for quasi-linear KdV
- Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. II
- An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation
- KAM for the quantum harmonic oscillator
- Almost periodic solutions for a class of semilinear quantum harmonic oscillators
- A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces
- Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory
- Pure point spectrum of the Floquet Hamiltonian for the quantum harmonic oscillator under time quasi-periodic perturbations
- KAM for the nonlinear Schrödinger equation
- Normal forms for semilinear quantum harmonic oscillators
- KAM tori for 1D nonlinear wave equations with periodic boundary conditions
- Invariant tori in non-degenerate nearly integrable Hamiltonian systems
- Quasi-periodic solutions for the reversible derivative nonlinear Schrödinger equations with periodic boundary conditions
- Reducibility of the quantum harmonic oscillator in \(d\)-dimensions with polynomial time-dependent perturbation
- Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
- On reducibility of quantum harmonic oscillator on \(\mathbb{R}^d\) with quasiperiodic in time potential
- Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations
- \(L^p\) eigenfunction bounds for the Hermite operator
- Reducibility of quantum harmonic oscillator on $\mathbb{R}^d$ with differential and quasi-periodic in time potential
- KAM for reversible derivative wave equations
- Quasi-Töplitz Functions in KAM Theorem
- Spectrum for quantum duffing oscillator and small-divisor equation with large-variable coefficient
- Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. I
- Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III
- Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves
- Reducibility of 1D quantum harmonic oscillator perturbed by a quasiperiodic potential with logarithmic decay
Related Items (1)
Reducibility of the linear quantum harmonic oscillators under quasi-periodic reversible perturbation
This page was built for publication: KAM tori for the system of coupled quantum harmonic oscillators with reversible perturbations