Relativistic wave equations: an operational approach

Canonical quantization, twistors and relativistic wave equations

A formulation of relativistic quantum mechanics in twistor space is studied. The phase-space description of the classical theory leads (via canonical quantization) to all known wave equations describing massless particles. A natural link between the classical and the quantum description is provided by the Wigner function de®ned on the space of twistors.

An Operational Approach to the Acoustic Analogy Equations

Massless relativistic wave equations and quantum field theory

We give a simple and direct construction of a massless quantum field with arbitrary discrete helicity that satisfies Wightman axioms and the corresponding relativistic wave equation in the distributional sense. We underline the mathematical differences to massive models. The construction is based on the notion of massless free net (cf. Section 3) and the detailed analysis of covariant and massl...

Energy-momentum relation for solitary waves of relativistic wave equations

Solitary waves of relativistic invariant nonlinear wave equation with symmetry group U(1) are considered. We prove that the energy-momentum relation for spherically symmetric solitary waves coincides with the Einstein energy-momentum relation for point particles. Supported partly by research grants of DFG (436 RUS 113/615/0-1), INTAS-OPEN-97-10812 and RFBR (01-01-04002). Supported partly by the...

Relativistic NN scattering equations without partial-wave decomposition

Modern experimental facilities such as TJNAF and Julich are probing the baryonic structure and interactions at intermediate energies (∼ GeV), through electromagnetic and strong reactions involving high momentum transfer [1]. To describe the NN interaction in the intermediate energy range (∼ 300 MeV-1 GeV), particle production mechanisms have to be included. Relativistic effects became also impo...