Abstract
One of the more intriguing questions in physics concerns the relation between quantum mechanics and classical mechanics, which is usually regarded as the limiting behaviour when Planck’s constant K can be regarded as small in some sense. The usual semiclassical approximation of quantum theory does not in any natural way lead to classical trajectories and the expansion K is rather singular.
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.
References
Bambini, A., and Stenholm, S., 1979, Quantum description of free-electrons in the laser, Opt. Comm., 30: 391.
Bloch, C., 1958, Sur la théorie des perturbations des états lies, Nuclear Phys., 6: 329.
Bogoliubov, N.N., 1967, Part 4.5, Perturbation theory for a degenerate level, in.: “Lectures on Quantum Statistics, Vol. 1”, Gordon and Breach, New York.
Carmichael, H.J., and Walls, D.F., 1976a, Proposal for the measurement of the resonant Stark effect by photon correlation techniques, J. Phys. B9: L43.
Carmichael, H.J. and Walls, D.F., 1976b. A quantum-mechanical master equation treatment of the dynamic Stark effect, J. Phys. B9: 1199.
Cohen-Tannoudji., C., 1977, Atoms in strong resonant fields, in.: “Frontiers in Laser Spectroscopy”, R. Bailian, S. Haroche and S. Liberman eds., North Holland, Amsterdam.
Cook, R.J., 1980a, Theory of resonance radiation pressure, Phys. Rev., A22: 1078.
Cook, R.J., 1980b, Photon statistics in resonance fluorescence from laser deflection of an atomic beam, Opt. Comm., 35: 347.
Dohm, V., 1976, Exact steady-state solution of the quantum-mechanical single-mode laser model, Phys.Rev., A14: 393.
Glauber, R.J., 1963, Coherent and incoheret states of the radiation field, Phys. Rev., 131: 2766.
Gordon, J.P., and Ashkin, A., 1980, Motion of atoms in a radiation trap, Phys. Rev., A21: 1606.
Haake, F., and Lewenstein, M., 1983, Adibatic expansion for the single-mode laser, Phys. Rev., A27: 1013.
Haken, H., 1975, Cooperative phenomena in systems far from thermal equilibrium and nonphysical systems, Rev. Mod. Phys., 47: 67.
Haken H., 1977, Chapter 7, Self-organization, in: “Synergetics”, Springer-Verleg, Heidelberg.
Javanainen, J., and Stenholm, S., 1980a, Broad band resonant light pressure I: Basic equations, Appl. Phys., 21: 35.
Javanainen, J., and Stenholm, S., 1980b, Laser cooling of trapped particles I: The heavy particle limit, Appl. Phys. 21: 283.
Javanainen, J., and Stenholm, S., 1981, Laser cooling of trapped particles II: The fast particle limit, Appl. Phys., 24: 71.
Kazantsev, A.P., 1974, Recoil effect in a strong resonant field, Sov.Phys. JETP., 40: 825.
Kazantsev, A.P., 1978, Resonant light pressure, Sov. Phys. Uspehki., 21: 58.
Kazantsev, A.P., and Surdutovich, G.I., 1969, The quantum theory of the laser, Sov. Phys, JETP., 29: 1075.
Letokhov, V.S., and Minogin, V.G., 1981, Laser radiation pressure on free atoms, Phys. Reps., 73: 1.
Mandel, L., 1979, Sub-Poissonian photon statistics in resonance fluorescence, Opt. Lett., 4: 205.
Minogin, V.G., 1980, Kinetic equation for atoms interacting with laser radiation, Sov. Phys. JETP., 52: 1032.
Minogin, V.G., 1981, Kinetic theory of the scattering of atoms by a resonant standing light wave, Sov.Phys. JETP., 53: 1164.
Nayfeh, N., 1973, “Perturbation Methods”, J. Wiley, New York.
Pawula, R.F., 1967, Approximation of the linear Boltzmann equation by the Fokker-Planck equation, Phys.Rev., 162: 186.
Sargent III, M., Scully, M.O., and Lamb, Jr., W.E., 1974, “Laser Physics”, Addison Wesley, New York.
Short, R., and Mandel, L., 1983, Observation of sub-Poissonian photon statistics, Phys. Rev.Lett., 51: 384.
Stenholm, S., 1973, Quantum theory of electro-magnetic fields interacting with atoms and molecules, Phys. Reps., 6: 1.
Stenholm, S., 1983a, Distribution of photons and atomic momentum in resonance fluorescence, Phys. Rev., A27: 2513.
Stenholm, S., 1983b, Physical applications of photon momentum, Invited talk at SICOLS ’83, Interlaken, Switzerland.
Stenholm, S., and Bambini, A., 1981, Single-particle theory of the free-electron laser in a moving frame, IEEE J.Q. Electronics., QE-17: 1363.
Titulaer, U.M., 1978, A systematic solution procedure for the Fokker-Planck equation of a Brownian particle in the high-friction case, Physica., 91A: 321.
Titulaer, U.M., 1980a, The Chapman-Enskog procedure as a form of degenerate perturbation theory, Physica., 100A: 234.
Titulaer, U.M., 1980b, Corrections to the Smoluchowski equation in the presence of hydrodynamic interactions, Physica., 100A: 251.
Zubairy, M.S., Sargent III, M., and De Martini, F., 1983, Quantum theory of laser and optical-bistability instabilities, Opt.Lett., 8: 76.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Plednum Press, New York
About this chapter
Cite this chapter
Stenholm, S. (1984). Quantum Fluctuations as Corrections to Slowly Varying Quantities. In: Barut, A.O. (eds) Quantum Electrodynamics and Quantum Optics. NATO ASI Series, vol 110. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2783-7_14
Download citation
DOI: https://doi.org/10.1007/978-1-4613-2783-7_14
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-9717-8
Online ISBN: 978-1-4613-2783-7
eBook Packages: Springer Book Archive