Abstract
In this chapter we relate the discrete stochastic systems of Chapter 2 and the continuous time stochastic systems resulting from a stochastic representation of semi-groups of Chapter 3. The Trotter product formula can be considered as a discrete time approximation to the continuous time semi-group. In this chapter we express the discrete time approximation resulting from the Trotter formula by Gaussian random variables.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Haba, Z. (1999). Semi-groups and the Trotter product formula. In: Feynman Integral and Random Dynamics in Quantum Physics. Mathematics and Its Applications, vol 480. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4716-3_4
Download citation
DOI: https://doi.org/10.1007/978-94-011-4716-3_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5984-8
Online ISBN: 978-94-011-4716-3
eBook Packages: Springer Book Archive