KAM tori for the system of coupled quantum harmonic oscillators with reversible perturbations (Q6612563)

scientific article; zbMATH DE number 7920484

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English	KAM tori for the system of coupled quantum harmonic oscillators with reversible perturbations	scientific article; zbMATH DE number 7920484

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instance of

scholarly article

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title

KAM tori for the system of coupled quantum harmonic oscillators with reversible perturbations (English)

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Journal of Dynamics and Differential Equations

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publication date

1 October 2024

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zbMATH Keywords

KAM theory

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quantum harmonic oscillators

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reversible vector field

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quasi-periodic solutions

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MaRDI profile type

Publication

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cites work

KAM for autonomous quasi-linear perturbations of mKdV

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KAM for quasi-linear KdV

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Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. II

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Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. I

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Reducibility of the quantum harmonic oscillator in $d$-dimensions with polynomial time-dependent perturbation

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Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III

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KAM for reversible derivative wave equations

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Quasi-Periodic Standing Wave Solutions of Gravity-Capillary Water Waves

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KAM tori for 1D nonlinear wave equations with periodic boundary conditions

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KAM for the nonlinear Schrödinger equation

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Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations

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An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation

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A KAM theorem for Hamiltonian partial differential equations in higher dimensional spaces

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KAM for the Klein Gordon equation on $\mathbb {S}^d$

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On reducibility of quantum harmonic oscillator on $\mathbb{R}^d$ with quasiperiodic in time potential

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KAM for the quantum harmonic oscillator

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Normal forms for semilinear quantum harmonic oscillators

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Q4405836

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$L^p$ eigenfunction bounds for the Hermite operator

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Q3767692

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Q4510392

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Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation

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Reducibility of quantum harmonic oscillator on $\mathbb{R}^d$ with differential and quasi-periodic in time potential

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Spectrum for quantum duffing oscillator and small-divisor equation with large-variable coefficient

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Quasi-periodic solutions for the reversible derivative nonlinear Schrödinger equations with periodic boundary conditions

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Q5687501

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Quasi-Töplitz functions in KAM theorem

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Invariant tori in non-degenerate nearly integrable Hamiltonian systems

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Pure point spectrum of the Floquet Hamiltonian for the quantum harmonic oscillator under time quasi-periodic perturbations

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Reducibility of 1D quantum harmonic oscillator perturbed by a quasiperiodic potential with logarithmic decay

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Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory

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Almost periodic solutions for a class of semilinear quantum harmonic oscillators

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Identifiers

DOI

10.1007/s10884-022-10203-9

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6612563