文档介绍：Quantum and classical statistics of the ic zero-point field
Michael Ibison
C-131 Engineering Quadrangle, Princeton University, Princeton, NJ 08544
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Bernhard Haisch
Solar and Astrophysics Laboratory, Div. 91-30, Bldg. 252, Lockheed Martin, 3251 Hanover St.,
Palo Alto, CA 94304
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ABSTRACT
A classical ic zero-point field (ZPF) analogue of the vacuum of quantum field theory
has formed the basis for theoretical investigations in the discipline known as random or stochastic
electrodynamics (SED). In SED the statistical character of quantum measurements is imitated by the
introduction of a stochastic classical background ic field. Random ic
fluctuations are assumed to provide perturbations which can mimic certain quantum phenomena while
retaining a purely classical basis, . the Casimir force, the Van-der-Waals force, the Lamb shift,
spontaneous emission, the RMS radius of a quantum-mechanical harmonic oscillator, and the radius of the
Bohr atom. This classical ZPF is represented as a homogeneous, isotropic ensemble of plane
ic waves whose amplitude is exactly equivalent to an excitation energy of hν/2 of the
corresponding quantized harmonic oscillator, this being the state of zero excitation of such an oscillator.
There is thus no randomness in the classical electric field amplitudes: Randomness is introduced entirely
in the phases of the waves, which are normally distributed. Averaging over the random phases is assumed
to be equivalent to taking the ground-state expectation values of the corresponding quantum operator. We
demonstrate that this is not precisely correct by examining the statistics of the classical ZPF in contrast to
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Quantum and classical statistics of the ic zero-point field
that of the ic quantum vacuum. Starting with a general technique for the calculation of
classical probability distributions for quantum state operators, we derive the