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6 papers · 1 filter
Packing sets of patterns
Alexander Burstein, Peter Hästö
Packing density is a permutation occurrence statistic which describes the maximal number of permutations of a given type that can occur in another permutation. In this article we f…
Incommensurate Transverse Anisotropy Induced by Disorder and Spin-Orbit-Vibron Coupling in Mn12-acetate
Kyungwha Park, Mark R. Pederson, Tunna Baruah +7
It has been shown within density-functional theory that in Mn-acetate there are effects due to disorder by solvent molecules and a coupling between vibrational and electroni…
Analytic Representation of The Dirac Equation
T. L. Gill, W. W. Zachary
In this paper we construct an analytical separation (diagonalization) of the full (minimal coupling) Dirac equation into particle and antiparticle components. The diagonalization i…
Analytic Representation of The Square-Root Operator
T. L. Gill, W. W. Zachary
In this paper, we use the theory of fractional powers of linear operators to construct a general (analytic) representation theory for the square-root energy operator of relativisti…
The Classical Electron Problem
T. L. Gill, W. W. Zachary, J. Lindesay
In this paper, we construct a parallel image of the conventional Maxwell theory by replacing the observer-time by the proper-time of the source. This formulation is mathematically,…
Foundations for Relativistic Quantum Theory I: Feynman's Operator Calculus and the Dyson Conjectures
T. L. Gill, W. W Zachary
In this paper, we provide a representation theory for the Feynman operator calculus. This allows us to solve the general initial-value problem and construct the Dyson series. We sh…