5 problems

For $N$ anyons with oscillator confinement, let $\alpha_q$ be the dimensionless quantum statistical parameter. A semiclassical analysis produces eigenvalues that are linear in…

Consider $N$ anyons with oscillator confinement and statistical parameter $\alpha_q$. Their quantum spectrum contains eigenvalues that depend nonlinearly on $\alpha_q$; such eigenv…

Anyons are two-dimensional quantum systems with statistical parameter $\alpha$, whose partially separable Hamiltonian has a pseudo-integrable classical counterpart: it admits const…

Energy–periodic-orbit correspondence conjecture. In three-dimensional integrable domains, the energy eigenvalues are in exact one-to-one correspondence with the amplitude-squares o…

Energy–periodic-orbit correspondence conjecture. The energy eigenspectrum of a particle trapped in such a polyhedron should be in one-to-one correspondence with the amplitude-squar…