Stochastic differential equations of pure-jumps in relativistic quantum theory

DOI10.1016/S0960-0779(98)00044-7zbMath0963.81009OpenAlexW2015513949MaRDI QIDQ1125146

Hiroshi Tanaka, Masao Nagasawa

Publication date: 29 November 1999

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(98)00044-7

zbMATH Keywords

fractional powersNagasawa's stochastic theorypure-jump Markov processes

Mathematics Subject Classification ID

Other physical applications of random processes (60K40) Quantum stochastic calculus (81S25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (4)

Neural network-based robust fault detection for nonlinear jump systems ⋮ Integrability conditions for space-time stochastic integrals: theory and applications ⋮ Time reversal of Markov processes and relativistic quantum theory ⋮ On quantum particles

Cites Work

• Quantum theory, theory of Brownian motions, and relativity theory.
• Time reversal of Markov processes and relativistic quantum theory
• On Square Integrable Martingales
• Abstract Evolution Equations of Parabolic Type in Banach and Hilbert Spaces
• Diffusion Equation and Stochastic Processes
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