Quantum Abraham models with de Broglie‐Bohm laws of electron motion
- Conference date: 7-9 September 2005
- Location: Trieste (Italy) and Losinj (Croatia)
We discuss a class of quantum Abraham models in which the N‐particle spinor wave function of N electrons solves a Pauli respectively Schrödinger equation, featuring regularized classical electromagnetic potentials which solve the semi‐relativistic Maxwell‐Lorentz equations for regularized point charges, which move according to some de Broglie‐Bohm law of quantum motion. Thus there is a feedback loop from the actual particle motions to the wave function. The electrons have a bare charge and positive bare mass different from their empirical charge and mass due to renormalization by the self‐fields. In the classical limit the various models reduce to the Hamilton‐Jacobi version of corresponding Abraham models of classical electron theory.
- Maxwell equations
- Wave functions
- Classical electromagnetism
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Y. K. Semertzidis, M. Aoki, M. Auzinsh, V. Balakin, A. Bazhan, G. W. Bennett, R. M. Carey, P. Cushman, P. T. Debevec, A. Dudnikov, F. J. M. Farley, D. W. Hertzog, M. Iwasaki, K. Jungmann, D. Kawall, B. Khazin, I. B. Khriplovich, B. Kirk, Y. Kuno, D. M. Lazarus, L. B. Leipuner, V. Logashenko, K. R. Lynch, W. J. Marciano, R. McNabb, W. Meng, J. P. Miller, W. M. Morse, C. J. G. Onderwater, Y. F. Orlov, C. S. Ozben, R. Prigl, S. Rescia, B. L. Roberts, N. Shafer‐Ray, A. Silenko, E. J. Stephenson, K. Yoshimura and EDM Collaboration
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