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Zbl 1117.81005
Smida, Abdallah; Hamici, Ameh; Hachemane, Mahmoud
A geometric model for extended particles. (English)
[A] Mladenov, Iva\"ilo (ed.) et al., Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 9--14, 2006. Sofia: Bulgarian Academy of Sciences. 302-311 (2007). ISBN 978-954-8495-37-0/pbk

Summary: Here we combine the ideas of a quantum functional theory intended to describe intrinsically extended particles with those of a geometrostochastic one describing stochastically extended particles. The main ingredients of the former are a physical wave $u$ replacing the point $x$ and a functional wave $X[u, t]$ replacing the probability wave function of the conventional quantum theory. The latter introduces a proper wave function accounting for the unavoidable errors in the measurement of continuous observable such as the position and momentum.

MSC 2000:: *81P05 General and philosophical topics in quantum theory
81V25 Other elementary particle theory
81Q70 Differential-geometric methods

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