The Experts below are selected from a list of 45 Experts worldwide ranked by ideXlab platform

M W Evans - One of the best experts on this subject based on the ideXlab platform.

  • the evans vigier field b 3 derivation of the de broglie matter wave equation from the hamilton jacobi equation
    Foundations of Physics Letters, 1995
    Co-Authors: M W Evans
    Abstract:

    The emergence of the Evans-Vigier fieldB (3) of vacuum electromagnetism has been accompanied by a novel charge quantization condition inferred from 0(3) gauge theory. This finding is used to derive the de Broglie matter-wave equation from the classical Hamilton-Jacobi (HJ) equation of one electron in the electromagnetic field. The HJ equation is used with the charge quantization condition to show that, in a perfectly elastic Photon-Electron Interaction, complete transfer of angular momentum occurs self-consistently, and the electron acquires the angular momentum ℏ of the photon. In this limit the electron travels infinitesimally near the speed of light, and its concomitant electromagnetic fields become indistinguishable from those of the uncharged photon. This result independently proves the validity of the charge quantization condition and demonstrates unequivocally the existence of the vacuum fieldB (3).

  • The evans-vigier field,B ^(3): Derivation of the de Broglie matter-wave equation from the Hamilton-Jacobi equation
    Foundations of Physics Letters, 1995
    Co-Authors: M W Evans
    Abstract:

    The emergence of the Evans-Vigier field B ^(3) of vacuum electromagnetism has been accompanied by a novel charge quantization condition inferred from 0(3) gauge theory. This finding is used to derive the de Broglie matter-wave equation from the classical Hamilton-Jacobi (HJ) equation of one electron in the electromagnetic field. The HJ equation is used with the charge quantization condition to show that, in a perfectly elastic Photon-Electron Interaction, complete transfer of angular momentum occurs self-consistently, and the electron acquires the angular momentum ℏ of the photon. In this limit the electron travels infinitesimally near the speed of light, and its concomitant electromagnetic fields become indistinguishable from those of the uncharged photon. This result independently proves the validity of the charge quantization condition and demonstrates unequivocally the existence of the vacuum field B ^(3).

Ahmed H Zewail - One of the best experts on this subject based on the ideXlab platform.

  • photon induced near field electron microscopy mathematical formulation of the relation between the experimental observables and the optically driven charge density of nanoparticles
    Physical Review A, 2014
    Co-Authors: Sang Tae Park, Ahmed H Zewail
    Abstract:

    Photon-induced near-field electron microscopy (PINEM) enables the visualization of the plasmon fields of nanoparticles via measurement of Photon-Electron Interaction [S. T. Park et al., New J. Phys. 12, 123028 (2010)]. In this paper, the field integral, which is a mechanical work performed on a fast electron by the total electric field, plays a key role in understanding the Interaction. Here, we reexamine the field integral and give the physical meaning by decomposing the contribution of the field from the charge-density distribution. It is found that the “near-field integral” (the near-field approximation of the field integral) can be expressed as a convolution of the two-dimensional projection of the optically driven charge-density distribution in the nanoparticle with a broad radial response function. This approach, which we call the “convolution method,” is validated by applying it to Rayleigh scattering cases, where previous analytical expressions for the field integrals in near-field approximations are reproduced by the convolution method. The convolution method is applied to discrete dipole approximation calculations of a silver nanorod, and the nature of the induced charge-density distributions of its plasmons is discussed.

Sang Tae Park - One of the best experts on this subject based on the ideXlab platform.

  • photon induced near field electron microscopy mathematical formulation of the relation between the experimental observables and the optically driven charge density of nanoparticles
    Physical Review A, 2014
    Co-Authors: Sang Tae Park, Ahmed H Zewail
    Abstract:

    Photon-induced near-field electron microscopy (PINEM) enables the visualization of the plasmon fields of nanoparticles via measurement of Photon-Electron Interaction [S. T. Park et al., New J. Phys. 12, 123028 (2010)]. In this paper, the field integral, which is a mechanical work performed on a fast electron by the total electric field, plays a key role in understanding the Interaction. Here, we reexamine the field integral and give the physical meaning by decomposing the contribution of the field from the charge-density distribution. It is found that the “near-field integral” (the near-field approximation of the field integral) can be expressed as a convolution of the two-dimensional projection of the optically driven charge-density distribution in the nanoparticle with a broad radial response function. This approach, which we call the “convolution method,” is validated by applying it to Rayleigh scattering cases, where previous analytical expressions for the field integrals in near-field approximations are reproduced by the convolution method. The convolution method is applied to discrete dipole approximation calculations of a silver nanorod, and the nature of the induced charge-density distributions of its plasmons is discussed.

Oscar F. Hernandez - One of the best experts on this subject based on the ideXlab platform.

  • Compton effect: interacting particles or interacting waves
    arXiv: Physics Education, 2005
    Co-Authors: Oscar F. Hernandez
    Abstract:

    Traditional textbook explanations of the Compton effect treat the photon electron Interaction as a particle collision. This explanation is a pedagogical disaster, implying that sometimes Interactions are particle-like whereas quantum mechanics always demands that they be wave-like; a photon wavefunction evolves according to a wave equation until its collapse at measurement. If this is so why then does the classical radiation wave equation fail to predict the Compton effect? We address these issues and propose a clearer explanation.

A. Howie - One of the best experts on this subject based on the ideXlab platform.

  • Photon Interactions for electron microscopy applications
    European Physical Journal: Applied Physics, 2011
    Co-Authors: A. Howie
    Abstract:

    The Schrödinger equation is applied to the Photon-Electron Interaction to give a unified picture of the ponderomotive refraction effect, Kapitza-Dirac diffraction as well as near field energy gain and loss processes. Analytical solutions are studied for simple cases and the potential use of these phenomena in applications of electron microscopy is discussed.