Discrete symmetry approach to exact bound-state solutions for a regular hexagon Dirac billiard
Sign Up to like & getrecommendations! Published in 2021 at "Physica Scripta"
DOI: 10.1088/1402-4896/abecf8
Abstract: We consider solving the stationary Dirac equation for a spin-1/2 fermion confined in a two-dimensional quantum billiard with a regular hexagon boundary, using symmetry transformations of the point group C 6v . Closed-form bound-state solutions… read more here.
Keywords: billiard; bound state; regular hexagon; state solutions ... See more keywords
Smooth phase transition of energy equilibration in a springy Sinai billiard.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.062204
Abstract: Statistical equilibration of energies in a slow-fast system is a fundamental open problem in physics. In a recent paper, it was shown that the equilibration rate in a springy billiard can remain strictly positive in… read more here.
Keywords: springy sinai; sinai billiard; phase transition; equilibration ... See more keywords
Scarring in Rough Rectangular Billiards
Sign Up to like & getrecommendations! Published in 2023 at "Entropy"
DOI: 10.3390/e25020189
Abstract: We study the mechanism of scarring of eigenstates in rectangular billiards with slightly corrugated surfaces and show that it is very different from that known in Sinai and Bunimovich billiards. We demonstrate that there are… read more here.
Keywords: repulsion; scarring rough; rough rectangular; rectangular billiards ... See more keywords