A classical field model for charged particles

1977 ◽  
Vol 55 (22) ◽  
pp. 2019-2022 ◽  
Author(s):  
G. Nash ◽  
H. Schiff
Keyword(s):  
Electromagnetic Field ◽  
Mass Spectrum ◽  
Scalar Field ◽  
Electric Charge ◽  
Field Model ◽  
Charged Particles ◽  
Classical Field ◽  
Discrete Particle ◽  
Classical Field Model

A classical field model is proposed, involving a scalar field interacting with the electromagnetic field, that has discrete particle-like solutions corresponding to any desired mass spectrum, all such solutions having exactly the same electric charge.

scholarly journals Classical-field model of the hydrogen atom

2017 ◽  
Vol 91 (6) ◽  
pp. 607-621 ◽  
Author(s):  
Sergey A. Rashkovskiy
Keyword(s):  
Hydrogen Atom ◽  
Field Model ◽  
Classical Field ◽  
Classical Field Model

scholarly journals Classical field model for arrays of photon condensates

2020 ◽  
Vol 101 (4) ◽  
Author(s):  
Vladimir N. Gladilin ◽  
Michiel Wouters
Keyword(s):  
Field Model ◽  
Classical Field ◽  
Classical Field Model

scholarly journals Stochastic classical field model for polariton condensates

2009 ◽  
Vol 79 (16) ◽  
Author(s):  
Michiel Wouters ◽  
Vincenzo Savona
Keyword(s):  
Field Model ◽  
Classical Field ◽  
Classical Field Model

Classical field model predictions for electroproduction of nucleon resonances

1971 ◽  
Vol 33 (2) ◽  
pp. 573-588 ◽  
Author(s):  
P.L. Pritchett
Keyword(s):  
Field Model ◽  
Classical Field ◽  
Nucleon Resonances ◽  
Model Predictions ◽  
Classical Field Model

THE MULTIPOLE EXPANSION IN QUANTUM THEORY

1963 ◽  
Vol 41 (1) ◽  
pp. 12-20 ◽  
Author(s):  
J. Fiutak
Keyword(s):  
Electromagnetic Field ◽  
Charged Particles ◽  
Multipole Expansion ◽  
Classical Field ◽  
Arbitrary System ◽  
First Order ◽  
Electric Component ◽  
Quantized Field ◽  
Interaction Term ◽  
Radiation Processes

The Hamiltonian of a system of charged particles interacting with the electromagnetic field is investigated. For an arbitrary system the multipole expansion of the interaction between the system and the field is derived by means of a suitable canonical transformation. The transformed Hamiltonian is obtained from the Hamiltonian of the system by replacing the momenta by the transformed kinetic momenta and by adding to the Hamiltonian a term representing the interaction of the system with the electric component of the field. By expanding this interaction term, as well as the transformed momenta, in powers of the dimension of the system over the wavelength, the multipole expansion of the Hamiltonian is obtained. For a system interacting with a classical field the multipole form of the Hamiltonian is exactly equivalent to the original Hamiltonian. For a quantized field this is not true, and the multipole form of the transformed Hamiltonian is shown to be equivalent to the original Hamiltonian only for first-order radiation processes.

scholarly journals Long-Range Scalar Forces in Five-Dimensional General Relativity

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
L. L. Williams
Keyword(s):  
General Relativity ◽  
Scalar Field ◽  
Long Range ◽  
Electric Charge ◽  
Scalar Potential ◽  
Classical Field ◽  
Electric Force ◽  
Mass Energy ◽  
Scalar Charge ◽  
Electrically Charged

We present new results regarding the long-range scalar field that emerges from the classical Kaluza unification of general relativity and electromagnetism. The Kaluza framework reproduces known physics exactly when the scalar field goes to one, so we studied perturbations of the scalar field around unity, as is done for gravity in the Newtonian limit of general relativity. A suite of interesting phenomena unknown to the Kaluza literature is revealed: planetary masses are clothed in scalar field, which contributes 25% of the mass-energy of the clothed mass; the scalar potential around a planet is positive, compared with the negative gravitational potential; at laboratory scales, the scalar charge which couples to the scalar field is quadratic in electric charge; a new length scale of physics is encountered for the static scalar field around an electrically-charged mass, L s = μ 0 Q 2 / M ; the scalar charge of elementary particles is proportional to the electric charge, making the scalar force indistinguishable from the atomic electric force. An unduly strong electrogravitic buoyancy force is predicted for electrically-charged objects in the planetary scalar field, and this calculation appears to be the first quantitative falsification of the Kaluza unification. Since the simplest classical field, a long-range scalar field, is expected in nature, and since the Kaluza scalar field is as weak as gravity, we suggest that if there is an error in this calculation, it is likely to be in the magnitude of the coupling to the scalar field, not in the existence or magnitude of the scalar field itself.

Failure of the Classical Field Model of Mössbauer Spectroscopy

1985 ◽  
Vol 55 (19) ◽  
pp. 2063-2066 ◽  
Author(s):  
J. Javanainen ◽  
P. Helistö ◽  
E. Ikonen ◽  
T. Katila
Keyword(s):  
Mössbauer Spectroscopy ◽  
Field Model ◽  
Mossbauer Spectroscopy ◽  
Classical Field ◽  
Mößbauer Spectroscopy ◽  
Classical Field Model

scholarly journals Supergeometry and Quantum Field Theory, or: What is a Classical Configuration?

1997 ◽  
Vol 09 (08) ◽  
pp. 993-1052 ◽  
Author(s):  
T. Schmitt
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Field Model ◽  
Classical Field ◽  
Mathematical Work ◽  
Quantum Field ◽  
Infinite Dimensional ◽  
Fermion Fields ◽  
Classical Field Model ◽  
Conceptual Difficulties

We discuss the conceptual difficulties connected with the anticommutativity of classical fermion fields, and we argue that the "space" of all classical configurations of a model with such fields should be described as an infinite-dimensional supermanifold M. We discuss the two main approaches to supermanifolds, and we examine the reasons why many physicists tend to prefer the Rogers approach although the Berezin–Kostant–Leites approach is the more fundamental one. We develop the infinite-dimensional variant of the latter, and we show that the superfunctionals considered in [44] are nothing but superfunctions on M. We propose a programme for future mathematical work, which applies to any classical field model with fermion fields. A part of this programme will be implemented in the successor paper [45].

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