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The Majorana Fermions for Quantum S=1/2 Antiferromagnet?
Alexander Moroz
Recently it has been suggested by A. M. Tsvelik that quantum S=1/2 antiferromagnet can be described by the Majorana fermions in an irreducible way and without any constraint. In co…
Quantum Field Theory as a Problem of Resummation (Short guide to using summability methods)
Alexander Moroz
Thesis includes review on the large order behaviour of perturbation theory in quantum mechanical and field theory models; generalization of the Borel summability and strong asympto…
Dimensional Reduction of a Generalized Flux Problem
Alexander Moroz
A generalized flux problem with Abelian and non-Abelian fluxes is considered. In the Abelian case we shall show that the generalized flux problem for tight-binding models of nonint…
Bloch Electron in a Magnetic Field : Diagonalization of Tight-Binding Models
Alexander Moroz
A connection of a variety of tight-binding models of noninteracting electrons on a rectangular lattice in a magnetic field with theta functions is established. A new spectrum gener…