Reducibility of 1D quantum harmonic oscillator with decaying conditions on the derivative of perturbation potentials (Q5103237)

scientific article; zbMATH DE number 7591214

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English	Reducibility of 1D quantum harmonic oscillator with decaying conditions on the derivative of perturbation potentials	scientific article; zbMATH DE number 7591214

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instance of

scholarly article

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title

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

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published in

Nonlinearity

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publication date

23 September 2022

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full work available at URL

https://arxiv.org/abs/2111.11679

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zbMATH Keywords

reducibility

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quantum harmonic oscillator

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KAM theory

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quasi-periodic in time potential

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MaRDI profile type

MaRDI publication profile

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cites work

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Standing waves on an infinitely deep perfect fluid under gravity

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Reducibility of quantum harmonic oscillator on $\mathbb{R}^d$ perturbed by a quasi: periodic potential with logarithmic decay

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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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Growth of Sobolev norms for linear Schrödinger operators

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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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Identifiers

zbMATH Open document ID

1505.37087

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Mathematics Subject Classification ID

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10.1088/1361-6544/AC821A

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Sitelinks

Mathematics(1 entry)

mardi Publication:5103237