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The quantum harmonic oscillator and Catalan's constant - MaRDI portal

The quantum harmonic oscillator and Catalan's constant (Q2067418)

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scientific article; zbMATH DE number 7458547

Language	Label	Description	Also known as
English	The quantum harmonic oscillator and Catalan's constant	scientific article; zbMATH DE number 7458547

Statements

scholarly article

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The quantum harmonic oscillator and Catalan's constant (English)

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Silvestro Fassari

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Luis-Miguel Nieto

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Reports on Mathematical Physics

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publication date

18 January 2022

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zbMATH Keywords

quantum harmonic oscillator

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eigenfunctions

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Hermite polynomials

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Catalan's constant

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MaRDI profile type

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Integrals evaluated in terms of Catalan's constant

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Thermodynamic Bethe ansatz and form factors for the homogeneous sine-Gordon models

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QUANTUM DEFORMATIONS OF CATALAN’S CONSTANT, MAHLER’S MEASURE AND THE HÖLDER–SHINTANI DOUBLE SINE FUNCTION

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Evaluation of a ln tan integral arising in quantum field theory

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A note on the discrete spectrum of Gaussian wells. I: The ground state energy in one dimension

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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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On the spectrum of the Schrödinger Hamiltonian of the one-dimensional harmonic oscillator perturbed by two identical attractive point interactions

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Root system of singular perturbations of the harmonic oscillator type operators

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A remarkable spectral feature of the Schrödinger Hamiltonian of the harmonic oscillator perturbed by an attractive \(\delta^\prime\)-interaction centred at the origin: double degeneracy and level crossing

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The Hamiltonian of the harmonic oscillator with an attractive $\delta ^{\prime} $-interaction centred at the origin as approximated by the one with a triple of attractive $\delta $-interactions

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Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive \(\delta\)-impurities symmetrically situated around the origin

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Spectral properties of a symmetric three-dimensional quantum dot with a pair of identical attractive δ-impurities symmetrically situated around the origin II

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A certain series associated with Catalan's constant

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Frames and operators in Schatten classes

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full work available at URL

https://doi.org/10.1016/s0034-4877(21)00069-0

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Identifiers

10.1016/S0034-4877(21)00069-0

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2067418

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