Abstract
A multiplicative functional of (time-inhomogeneous) jump Markov processes with continuous time is constructed to establish the absolute continuity between jump Markov processes. After renormalizing the multiplicative functional, the principle of variation of stochastic processes is applied in constructing Schrödinger processes of pure-jumps which describe the movement of relativistic quantum particles.
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© 2001 Springer-Verlag Berlin/Heidelberg
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Nagasawa, M., Tanaka, H. (2001). The Principle of Variation for Relativistic Quantum Particles. In: Azéma, J., Émery, M., Ledoux, M., Yor, M. (eds) Séminaire de Probabilités XXXV. Lecture Notes in Mathematics, vol 1755. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44671-2_1
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DOI: https://doi.org/10.1007/978-3-540-44671-2_1
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41659-3
Online ISBN: 978-3-540-44671-2
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