Abstract
We shall discuss quantum mechanical operators depending on the time or on the manifold in space. There is a similarity to the case of stochastic processes or random fields, where the innovation approach is one of the powerful tools to investigate their probabilistic structure. Having had some review of the innovation, similar attempt is made for some cases in quantum dynamics.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
L. Accardi, T. Hida, and Win Win Htay, “Boson Fock representations of stochastic processes,” preprint.
T. Hida and M. Hitsuda, “Gaussian processes,”Translations of Mathematics Monographs, Vol. 120 (American Mathematical Society, 1993).
T. Hida, H.-H. Kuo, J. Potthoff, and L. Streit,While Noise. An Infinite Dimensional Calculus (Kluwer Academic, Dordrecht, 1993).
T. Hida and Si Si, “Innovations for random fields” to appear.
H.-H. Kuo,White Noise Distribution Theory (Probability and Stochastics Series) (CRC Press, 1996).
N. Obata,White Noise Calculus and Fock Space (Lecture Notes in Mathematics,1577) (Springer, New York, 1994).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hida, T. Random fields and quantum dynamics. Found Phys 27, 1511–1518 (1997). https://doi.org/10.1007/BF02551497
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02551497