Biomedical subjects

J Wiersig

Publications and source records attributed to J Wiersig.

3 recordsLinked to original sources

PubMed2003

Spectral correlation in incommensurate multiwalled carbon nanotubes.

We investigate the energy spectra of clean incommensurate double-walled carbon nanotubes, and find that the overall spectral properties are described by the critical statistics similar to that known in the Anderson metal-insulator transition. In the energy spectra, there exist three different regimes characterized by Wigner-Dyson, Poisson, and semi-Poisson distributions. This feature implies that the electron transport in incommensurate multiwalled nanotubes can be either diffusive, ballistic, or intermediate between them, depending on the position of the Fermi energy.

Journal Article↗

PubMed2001

Quantum-classical correspondence in polygonal billiards.

We show that wave functions in planar rational polygonal billiards (all angles rationally related to pi) can be expanded in a basis of quasistationary and spatially regular states. Unlike the energy eigenstates, these states are directly related to the classical invariant surfaces in the semiclassical limit. This is illustrated for the barrier billiard. We expect that these states are also present in integrable billiards with point scatterers or magnetic-flux lines.

Journal Article↗

PubMed2000

Singular continuous spectra in a pseudointegrable billiard

The pseudointegrable barrier billiard invented by Hannay and McCraw [J. Phys. A 23, 887 (1990)], a rectangular billiard with line-segment barrier placed on a symmetry axis, is generalized. It is demonstrated that the Fourier spectrum of a typical function on the phase space exhibits a singular continuous component.

Journal Article↗