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Hamiltonian theory of anyons in crystals

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Publication:950868
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DOI10.1007/s10958-008-9025-3zbMath1180.81065OpenAlexW1986908779MaRDI QIDQ950868

Luigi Martina

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-9025-3


Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Many-body theory; quantum Hall effect (81V70) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)




Cites Work

  • Unnamed Item
  • Spin Hall effect and Berry phase of spinning particles
  • Galilean-invariant \((2+1)\)-dimensional models with a Chern-Simons-like term and \(D=2\) noncommutative geometry
  • A pseudoclassical model for \(P,T\)-invariant planar fermions
  • Anyons, group theory and planar physics
  • Exotic Galilean symmetry in the non-commutative plane and the Hall effect
  • Transitive symplectic manifolds in 1+2 dimensions
  • The projective unitary irreducible representations of the Galilei group in 1+2 dimensions
  • COMMENTS ON SPIN-ORBIT INTERACTION OF ANYONS
  • Hall Effect in Ferromagnetics
  • The exotic Galilei group and the ``Peierls substitution.
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