Reducibility of the linear quantum harmonic oscillators under quasi-periodic reversible perturbation (Q6572422)

scientific article; zbMATH DE number 7881039

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English	Reducibility of the linear quantum harmonic oscillators under quasi-periodic reversible perturbation	scientific article; zbMATH DE number 7881039

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instance of

scholarly article

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title

Reducibility of the linear quantum harmonic oscillators under quasi-periodic reversible perturbation (English)

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Qualitative Theory of Dynamical Systems

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publication date

15 July 2024

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zbMATH Keywords

reducibility

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quantum harmonic oscillator

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infinite-dimensional KAM theory

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reversible vector field

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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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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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Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods

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

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Reducibility of non-resonant transport equation on ${\mathbb {T}}^d$ with unbounded perturbations

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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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Q5820676

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On reducibility of Schrödinger equations with quasiperiodic in time potentials

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Reducibility of Schrödinger equation on a Zoll manifold with unbounded potential

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Reducibility of Schrödinger Equation on the Sphere

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Quasi-periodic solutions for fully nonlinear forced reversible Schrödinger equations

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Reducibility for a fast-driven linear Klein-Gordon Equation

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Reducibility of quasi-periodic linear KdV equation

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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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Q4510392

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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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Reducibility of 1D quantum harmonic oscillator with decaying conditions on the derivative of perturbation potentials

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1-d quantum harmonic oscillator with time quasi-periodic quadratic perturbation: reducibility and growth of Sobolev norms

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

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A Reducibility Result for a Class of Linear Wave Equations on ${\mathbb T}^d$

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Reducibility of relativistic Schrödinger equation with unbounded perturbations

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

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KAM tori for reversible partial differential equations

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Identifiers

zbMATH Open document ID

1548.37112

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DOI

10.1007/s12346-024-01067-z

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6572422