Stochastic Differential Equations of Pure-jumps in Relativistic Quantum Theory

The movement of relativistic quantum particles is described with pure-jump Markov processes in Nagasawas stochastic theory. Markov processes of pure-jumps are characterized in terms of stochastic differential equations of pure-jumps. The existence and uniqueness of solutions of stochastic differential equations of pure-jumps are shown under some regularity conditions. Markov processes of pure-jumps are then constructed with the help of the Schrödinger representation (process) . © 1999 Elsevier Science Ltd. All rights reserved.