Abstract
Small particles, such as electrons, perform a random zigzag motion (i.e., Brownian motion), which is unavoidable and intrinsic for small particles. We introduce this as a hypothesis (random hypothesis) and adopt it in this book. Then, classical mechanics no longer describes the motion of such particles, because their paths are not smooth, i.e., do not admit a tangent. Therefore, a new equation of motion is needed for such small particles. We will develop here a new mechanics of random motion, based on the theory of Markov processes.
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
Corresponding author
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Nagasawa, M. (2021). Mechanics of Random Motion. In: Markov Processes and Quantum Theory. Monographs in Mathematics, vol 109. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-62688-4_1
Download citation
DOI: https://doi.org/10.1007/978-3-030-62688-4_1
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-62687-7
Online ISBN: 978-3-030-62688-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)