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  • Wheeler–DeWitt equation  (1)
  • quantum vacuum  (1)
  • stochastic-models  (1)
Document type
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Years
  • 1
    Electronic Resource
    Electronic Resource
    A particle theory of the Casimir effect (1996)
    Springer
    Foundations of physics 9 (1996), S. 213-223 
    Details
    ISSN: 1572-9524
    Keywords: photon ; trajectories ; QED ; Casimir effect ; quantum vacuum
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In previous works, Suppes and de Barros used a pure particle model to derive interference effects, where individual photons have well-defined trajectories, and hence no wave properties. In the present paper we extend that description to account for the Casimir effect. We consider that the linear momentum ∑ 1/2hk of the vacuum state in quantum electrodynamics corresponds to the linear momentum of virtual photons. The Casimir effect, in the cases of two parallel plates and the solid ball, is explained in terms of the pressure caused by the photons. Contrary to quantum electrodynamics, we assume a finite number of virtual photons.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02186404
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Violation of bell's inequalities with a local theory of photons (1996)
    Springer
    Foundations of physics 9 (1996), S. 551-560 
    Details
    ISSN: 1572-9524
    Keywords: Bell's-inequalities ; EPR ; photons ; hidden-variables ; stochastic-models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We use a local theory of photons purely as particles to model the single-photon experiment proposed by Tan, Walls, and Collett. Like Tanet al. we are able to derive a violation of Bell's inequalities, but our local probabilistic theory does not use any specific quantum mechanical assumptions or calculations.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02190030
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    The Causal Interpretation of Conformally Coupled Scalar Field Quantum Cosmology (2000)
    Springer
    General relativity and gravitation 32 (2000), S. 15-39 
    Details
    ISSN: 1572-9532
    Keywords: Wheeler–DeWitt equation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We apply the causal interpretation of quantum mechanics to homogeneous and isotropic quantum cosmology, where the source of the gravitational field is a conformally coupled scalar field, and the maximally symmetric hypersurfaces have positive curvature. In order to simplify the system of coupled equations studied and study the quantum behavior near the singularity, we restricted ourselves to the cases where the scale factor is small. In this case, the general solution of the Wheeler–DeWitt equation is a discrete superposition of Hermitian polynomials multiplied by complex exponentials. Superpositions with up to two parcels are studied, and the phase diagrams of their corresponding Bohmian trajectories are analyzed in detail. Nonsingular periodic quantum solutions are found. We also find that singular quantum solutions present an inflationary era in the begining of the Universe. Numerical calculations indicates that these results remain valid for general superpositions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1001892315360
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    Paper (German National Licenses)
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