Abstract
In the preceding chapter we have formulated the equation of motion of relativistic quantum particles as a pair of evolution equations with fractional power generators which are in formal duality, and shown that the evolution equation has an equivalent formulation in terms of stochastic differential equations of pure-jumps. In this chapter the existence and uniqueness of solutions of the stochastic differential equations of pure-jumps will be proved, and then pure-jump Markov processes will be constructed.
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References
Cf. Nagasawa (1997), Nagasawa-Tanaka (1999, a, b, c).
Cf. Nagasawa-Tanaka (1999, a).
Cf. Nagasawa-Tanaka (1999, a).
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© 2000 Springer Basel AG
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Nagasawa, M. (2000). Stochastic Differential Equations of Pure-Jumps. In: Stochastic Processes in Quantum Physics. Monographs in Mathematics, vol 94. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8383-2_8
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DOI: https://doi.org/10.1007/978-3-0348-8383-2_8
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9543-9
Online ISBN: 978-3-0348-8383-2
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