IFLP 13074
INSTITUTO DE FISICA LA PLATA
Unidad Ejecutora - UE
artículos
Título:
Zeroes of combinations of Bessel functions and mean charge of graphene nanodots
Autor/es:
C.G. BENEVENTANO; I. FIALKOVSKY; E.M. SANTANGELO
Revista:
THEORETICAL AND MATHEMATICAL PHYSICS
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2016 vol. 187 p. 497 - 510
ISSN:
0040-5779
Resumen:
We establish some properties of the zeroes of sums and differences of contiguous Bessel functions of the first kind. As a byproduct, we also prove that the zeroes of the derivatives of Bessel functions of the first kind of different orders are interlaced the same way as the zeroes of Bessel functions themselves. As a physical motivation, we consider gated graphene nanodots subject to Berry-Mondragon boundary conditions. We determine the allowed energy levels and calculate the mean charge at zero temperature. We discuss in detail its dependence on the gate (chemical) potential.Versión rusa: Teoreticheskaya i Matematicheskaya Fizika, Vol. 187, No. 1, pp. 58?73, April, 2016.
