Abstract
This paper presents a model of stochastic point process (P.P.) whose occurrences are repulsive to one another. The origin of the model arises in the theory of quantum particles and describes the statistical distribution of a fermion system in thermal equilibrium. For such a system, two P.P. can be defined which describe the places of the particles at a given time or the instants when any particle passes in a given point of space. Then physical arguments lead to the value of coincidence densities (C.D.) of these P.P.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
О. Macchi: The coincidence approach to stochastic point processes. Adv. Appl. Proba. 7 (1975), 83–122.
J. E. Moyal: The general theory of stochastic population processes. Acta Math. 108 (1962), 1–31.
E. F. Beckenbach, R. Bellman: Inequalities. Second Edition. Springer Verlag, New York 1965.
O. Macchi: Stochastic point processes and multicoincidences. IEEE Trans. I. T. 17 (1971), 1, 2–7.
R. P. Boas: Entire functions. Academic Press, New York 1954.
С Benard, О. Macchi: Detection and emission processes of quantum particles in a chaotic state. J. Math. Phys. 14 (1973), 2, 155–167.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1977 ACADEMIA, Publishing House of the Czechoslovak Acatemy of Sciences, Prague
About this chapter
Cite this chapter
Macchi, O. (1977). The Fermion Process — A Model of Stochastic Point Process with Repulsive Points. In: Kožešnik, J. (eds) Transactions of the Seventh Prague Conference on Information Theory, Statistical Decision Functions, Random Processes and of the 1974 European Meeting of Statisticians. Transactions of the Seventh Prague Conference on Information Theory, Statistical Decision Functions, Random Processes and of the 1974 European Meeting of Statisticians, vol 7A. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9910-3_39
Download citation
DOI: https://doi.org/10.1007/978-94-010-9910-3_39
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-9912-7
Online ISBN: 978-94-010-9910-3
eBook Packages: Springer Book Archive