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A Compact Formula for Rotations as Spin Matrix Polynomials
Thomas L. Curtright, David B. Fairlie, Cosmas K. Zachos
Group elements of SU(2) are expressed in closed form as finite polynomials of the Lie algebra generators, for all definite spin representations of the rotation group. The simple ex…
Branched Hamiltonians and Supersymmetry
Thomas L Curtright, Cosmas K Zachos
Some examples of branched Hamiltonians are explored both classically and in the context of quantum mechanics, as recently advocated by Shapere and Wilczek. These are in fact cases…
Umbral Vade Mecum
Thomas L Curtright, Cosmas K Zachos
In recent years the umbral calculus has emerged from the shadows to provide an elegant correspondence framework that automatically gives systematic solutions of ubiquitous differen…
Approximate Solutions of Functional Equations
Thomas Curtright, Xiang Jin, Cosmas Zachos
Approximate solutions to functional evolution equations are constructed through a combination of series and conjugation methods, and relative errors are estimated. The methods are…
Evolution profiles and functional equations
Thomas Curtright, Cosmas Zachos
Time evolution is formulated and discussed in the framework of Schroeder's functional equation. The proposed method yields smooth, continuous dynamics without the prior need for lo…
Lie algebras associated with one-dimensional aperiodic point sets
David B. Fairlie, Reidun Twarock, Cosmas K. Zachos
The set of points of a one-dimensional cut-and-project quasicrystal or model set, while not additive, is shown to be multiplicative for appropriate choices of acceptance windows. T…