Zeros of combinations of Bessel functions and the mean charge of graphene nanodots

DOI10.1134/S004057791604005XzbMath1342.82169arXiv1407.0615OpenAlexW3106179648MaRDI QIDQ2628896

C. G. Beneventano, I. V. Fialkovsky, Eve Mariel Santangelo

Publication date: 19 July 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0615

zbMATH Keywords

Bessel functiongraphenecircular billiardquantum nanodot

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Quantum dots, waveguides, ratchets, etc. (81Q37) Statistical mechanics of nanostructures and nanoparticles (82D80)

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The radius of convexity of normalized Bessel functions ⋮ Sum rules for zeros and intersections of Bessel functions from quantum mechanical perturbation theory

Cites Work

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• Interlacing of positive real zeros of Bessel functions
• On the positive zeros of the second derivative of Bessel functions
• Bounds for the first positive zero of a mixed Bessel function
• On the common zeros of Bessel functions
• QUANTUM FIELD THEORY IN GRAPHENE
• Geometrical and topological aspects of graphene and related materials
• On the interlacing of cylinder functions
• The quantum Hall effect in graphene samples and the relativistic Dirac effective action
• Zeros of the Bessel and spherical Bessel functions and their applications for uniqueness in inverse acoustic obstacle scattering
• Some recent results on the zeros of Bessel functions and orthogonal polynomials