Abstract
Stochastic Electrodynamics (SED) is a classical theory of particles and fields. The difference with respect to usual Electrodynamics is the assumption of a universal stochastic electromagnetic field (“background” field or “zero-point” field), which could be conceived as a classical counterpart to the vacuum field of Quantum Electrodynamics (QED). Thus this stochastic field (uniform and isotropic) has zero mean and spectral density [1–4].
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
P. CLAVERIE and S. DINER, Intern. J. Quant. Chem. 12, Suppl. 1, 41 (1977)
E. SANTOS, Nuovo Cimento (série 111 19B, 57 (1974).
T.H. BOYER, Phys. Rev. D11, 790 (1975).
T.W. MARSHALL, Proc. Roy. Soc. (London) A276, 475 (1963).
L. De La PENA-AUERBACH and A.M. CETTO, Rev. Mex. Fis. 25, 1 (1976).
L. De La PENA-AUERBACH and A.M. CETTO, J. Math. Phys. 18, 1612 (1977).
P. CLAVERIE and S. DINER, p. 395 in “Localization and Delocalization in Quantum Chemistry”, ed. by 0. Chalvet, R. Daudel, S. Diner and J.P. Malrieu ( Reidel, Dordrecht, 1976 ).
Ming Chen WANG and G.E. UHLENBECK, Rev. Mod. Phys. 17, 323 (1945). Reprinted in “Selected Papers on Noise and Stochastic Processes”, ed. by N. Wax ( Dover, New York, 1954 ).
L. De La PENA and A.M. CETTO, J. Math. Phys. 20, 469 (1979).
M. LAX, Rev. Mod. Phys. 38, 541 (1966).
R.L. STRATONOVICH, chap. 1, in “Conditional Markov Processes and their Application to the Theory of Optimal Control” (American Elsevier, New York, 1968 ) (Russian original: Moscow University Press, Moscow, 1966 ).
R.Z. KHAS’MINSKII, Theory Prob. Appl. 11, 390 (1966).
G.C. PAPANICOLAOU and J.B. KELLER, SIAM J. Appl. Math. 21, 287 (1971).
G.C. PAPANICOLAOU and R. HERSH, Indiana Univ. Math. J. 21, 815 (1972).
R. COGBURN and R. HERSH, Indiana Univ. Math. J. 22, 1067 (1973).
]G.C. PAPANICOLAOU, p.209 in “Modern Modelling of Continuum Phenomena”, Lectures in Applied Mathematics, vol. 16, Ed. by R.C. Di Prima ( American Mathematical Society, Providence, Rhode Island, 1977 ).
R. KUBO, J. Math. Phys. 4, 174 (1963).
A. BRISSAUD and U. FRISCH, J. Math. Phys. 15, 524 (1974).
N.G. VAN KAMPEN, Phys. Repts. (Phys. Letters C) 24C, 171 (1976).
R. ZWANZIG (a) J. Chem. Phys. 33, 1338 (1964); (b) Physica, 30, 1109 (1964).
U. FRISCH (a) Ann. Astrophys. 29, 645 (1966) and 30, 565 (1967) (b) p. 75 in “Probabilistic Methods in Applied Mathematics”, ed. by A.T. Bharucha-Reid ( Academic Press, New York, 1968 ).
R.H. TERWIEL, Physica, 74, 248 (1974).
N.G. VAN KAMPEN, Physica 74, 215 and 239 (1974).
M.M. TROPPER, J. Stat. Phys. 17, 491 (1977).
P. HÄNGGI, Zeitschr. Phys. B31, 407 (1978).
P. CLAVERIE and S. DINER “Some Remarks about the LAX Approximation in Stochastic Electrodynamics”. Technical Report (1977).
T.W. MARSHALL, “Brownian motion and quasi-Markov processes”, parts I and II (submitted to Physical
T.W. MARSHALL and P. CLAVERIE, Brownian motion and quasi-Markov processes, part III (submitted to Physica).
H. HAKEN, Rev. Mod. Phys. 47, 67 (1975). (See especially section XI.C.2.).
T.W. MARSHALL and P. CLAVERIE “Stochastic Electrodynamics of nonlinear system. I. Particle in a central field of force” J. Math. Phys. (in press).
P. CLAVERIE, L. De La PENA-AUERBACH and S. DINER, “Stochastic Electrodynamics of non-Linear systems. II. Derivation of a reduced Fokker-Planck equation in terms of relevant constants of motion” (to be published).
R. KUBO, J. Phys. Soc. Japan, 12, 570 (1957).
H. GOLDSTEIN, “Classical Mechanics”, Addison-Wesley, Reading, Massachusetts (1956).chap. 9, section 9. 7.
H.C. CORBEN and P. STEHLE, “Classical Mechanics”, 2nd edition, Wiley, New York (1960).chap. 11, section 64.
L. PESQUERA and P. CLAVERIE, “Derivation of Fokker-Planck equations through response theory”, to be published.
P. JULG, (a) Folia Chimica Theoretica Latina, 6, 99 (1978); (b) Results to be published.
L. PESQUERA, “The anharmonic oscillator in Stochastic Electro-dynamics (SED): the problem of “radiation balance” at each frequency”, communication in these. Proceed’nss •
L. PESQUERA and P. CLAVERIE, “The quartic anharmonic oscillator in Stochastic Electrodynamics, to be published.
G.N. WATSON, “A Treatise on the Theory of Bessel Functions”, Cambridge University Press (1966).
T.W. MARSHALL, “On the sum of a family of Kapteyn series” (submitted to Z.A.M.P. (J. Appl. Math. Phys.)).
L. PESQUERA, P. CLAVERIE and A. DENIS, “Stochastic Electrodynamics of non-linear systems. III. Accurate stationary solution for the hydrogen.atom” (to be published).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Springer-Verlag Wien
About this chapter
Cite this chapter
Claverie, P. (1980). Stochastic Electrodynamics: Methods and Results. In: Blaquiére, A., Fer, F., Marzollo, A. (eds) Dynamical Systems and Microphysics. International Centre for Mechanical Sciences, vol 261. Springer, Vienna. https://doi.org/10.1007/978-3-7091-4330-8_7
Download citation
DOI: https://doi.org/10.1007/978-3-7091-4330-8_7
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-81533-5
Online ISBN: 978-3-7091-4330-8
eBook Packages: Springer Book Archive