85 citations · 517 across the 38 of their papers we have counts for
38 papers
Electromagnetic current operators for phenomenological relativistic models
Wayne Polyzou
Background: Phenomenological Poincaré invariant quantum mechanical models can provide an efficient description of the dynamics of strongly interacting particles that is consistent…
Scattering in a Euclidean formulation of relativistic quantum mechanics
W. N. Polyzou, Gordon Aiello, Philip Kopp
A Euclidean formulation of relativistic quantum mechanics is discussed. Representations of the Hilbert space inner product and Poincaré generators are all expressed in terms of Euc…
Scattering using real-time path integrals
W. N. Polyzou, Ekaterina Nathanson
Background: Path integrals are a powerful tool for solving problems in quantum theory that are not amenable to a treatment by perturbation theory. Most path integral computations r…
Multi-scale methods in quantum field theory
W. N. Polyzou, Tracie Michlin, Fatih Bulut
Daubechies wavelets are used to make an exact multi-scale decomposition of quantum fields. For reactions that involve a finite energy that take place in a finite volume, the number…
Euclidean relativistic quantum mechanics - scattering asymptotic conditions
W. N. Polyzou, Gordon Aiello
We discuss the formulation of the scattering asymptotic condition in a relativistic quantum theory formulated in terms of reflection positive Euclidean Green functions.
Multiresolution decomposition of quantum field theories using wavelet bases
Tracie Michlin, W. N. Polyzou, Fatih Bulut
We investigate both theoretical and computational aspects of using wavelet bases to decouple physics on different scales in quantum field theory.