Properties of eigenmodes and quantum-chaotic scattering in a superconducting microwave Dirac billiard with threefold rotational symmetry
We report on experimental studies that were performed with a microwave Dirac billiard (DB),
that is, a flat resonator containing metallic cylinders arranged on a triangular grid, whose …
that is, a flat resonator containing metallic cylinders arranged on a triangular grid, whose …
Graphene billiards with fourfold symmetry
We report on the realization of a graphene billiard with a fourfold rotational symmetry, which
has the shape of a billiard with chaotic classical dynamics. The eigenstates are separated …
has the shape of a billiard with chaotic classical dynamics. The eigenstates are separated …
Semi-poisson statistics in relativistic quantum billiards with shapes of rectangles
B Dietz - Entropy, 2023 - mdpi.com
Rectangular billiards have two mirror symmetries with respect to perpendicular axes and a
twofold (fourfold) rotational symmetry for differing (equal) side lengths. The eigenstates of …
twofold (fourfold) rotational symmetry for differing (equal) side lengths. The eigenstates of …
Unidirectionality and Husimi functions in constant-width neutrino billiards
B Dietz - Journal of Physics A: Mathematical and Theoretical, 2022 - iopscience.iop.org
We investigate the spectral properties and Husimi functions of relativistic quantum billiards
(QBs) consisting of a spin-1/2 particle governed by the Dirac equation and confined to a …
(QBs) consisting of a spin-1/2 particle governed by the Dirac equation and confined to a …
Classical and quantum elliptical billiards: Mixed phase space and short-range correlations in singlets and doublets
TA Lima, RB do Carmo - Physica D: Nonlinear Phenomena, 2024 - Elsevier
Billiards are flat cavities where a particle is free to move between elastic collisions with the
boundary. In chaos theory, these systems are simple prototypes. The conservative dynamics …
boundary. In chaos theory, these systems are simple prototypes. The conservative dynamics …
Asymptotic behaviour of energy levels of a quantum free particle in an elliptic sector
MA Nikulin, TY Popelensky, AI Shafarevich - Physica Scripta, 2023 - iopscience.iop.org
We study quantum solution for a free particle in a domain bounded by an ellipse and arc (s)
of confocal hyperbola (s). We found asymptotic behaviour of energy levels as focal distance …
of confocal hyperbola (s). We found asymptotic behaviour of energy levels as focal distance …
Classical and quantum elliptical billiards: Mixed phase space and short correlations in singlets and doublets
TA Lima, RB do Carmo - arXiv preprint arXiv:2301.04654, 2023 - arxiv.org
Billiards are flat cavities where a particle is free to move between elastic collisions with the
boundary. In chaos theory these systems are simple prototypes, their conservative dynamics …
boundary. In chaos theory these systems are simple prototypes, their conservative dynamics …