Statistics in space dimension two

DOI10.1023/A:1007361832622zbMath0890.47042OpenAlexW2130265815MaRDI QIDQ1362369

Alessandro Teta, Rodolfo Figari, Gianfausto Dell'Antonio

Publication date: 3 August 1997

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007361832622

zbMATH Keywords

potential theoryquadratic formsselfadjoint operatorLaplacianbraid groupAharanov-Bohm effectSchrödinger Hamiltonianquantum particle on a plane under the influence of a shielded magnetic fieldsystem of \(N\) identical particles on a plane

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) General quantum mechanics and problems of quantization (81S99)

Related Items (11)

Fermionic behavior of ideal anyons ⋮ Hardy and Lieb-Thirring inequalities for anyons ⋮ Anyonic topological order in twisted equivariant differential (TED) K-theory ⋮ \(L^2\) dimensions of spaces of braid-invariant harmonic forms ⋮ Exclusion bounds for extended anyons ⋮ Gauge-invariant quasi-free states on the algebra of the anyon commutation relations ⋮ Local exclusion and Lieb-Thirring inequalities for intermediate and fractional statistics ⋮ Hamiltonians for Two-Anyon Systems ⋮ Unnamed Item ⋮ Local density approximation for almost-bosonic anyons ⋮ Local anyonic quantum fields on the circle leading to cone-local anyons in two dimensions

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