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1. Realm of the Electromagnetic Potential
"... The Potential in Classical Electrodynamics (CED) has a special status. It defines the electromagnetic field according to the equation: (1) From (1) it follows that electromagnetic field won't change if we add to the potential a gradient of any differentiable scalar function Φ. This fact is call ..."
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The Potential in Classical Electrodynamics (CED) has a special status. It defines the electromagnetic field according to the equation: (1) From (1) it follows that electromagnetic field won't change if we add to the potential a gradient of any differentiable scalar function Φ. This fact
The Real Significance of the Electromagnetic Potentials ∗
, 1995
"... The importance of the potential is revealed in a newly discovered effect of the potential. This paper explore the same issue introduced in quantph/9506038 from several different aspects including electron optics and relativity. Some people fail to recognize this effect due to a wrong application of ..."
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The importance of the potential is revealed in a newly discovered effect of the potential. This paper explore the same issue introduced in quantph/9506038 from several different aspects including electron optics and relativity. Some people fail to recognize this effect due to a wrong application
Uncertainty Relations for Two Dimensional Quantized Electromagnetic Potential
, 1997
"... The canonical quantization of flux is performed. It is shown that according to the canonical flux quantization there must be a new uncertainty relation: e∆Am.∆xm ≥ ¯h where Am and ∆xm ≥ lB are the electromagnetic gauge potential, the position uncertainty and the magnetic length, respectively. Other ..."
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The canonical quantization of flux is performed. It is shown that according to the canonical flux quantization there must be a new uncertainty relation: e∆Am.∆xm ≥ ¯h where Am and ∆xm ≥ lB are the electromagnetic gauge potential, the position uncertainty and the magnetic length, respectively. Other
Formal Expressions for the Electromagnetic Potentials in Any Gauge
, 2015
"... Deduce expressions for the electromagnetic vector potential A in an arbitrary gauge, where the scalar potential V (x, t) has a specified form, via a gauge transformation from the potentials in the Lorenz gauge [1]. 2 Solution 2.1 Gauge Transformations We first review the notion of gauge transformat ..."
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Cited by 1 (1 self)
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Deduce expressions for the electromagnetic vector potential A in an arbitrary gauge, where the scalar potential V (x, t) has a specified form, via a gauge transformation from the potentials in the Lorenz gauge [1]. 2 Solution 2.1 Gauge Transformations We first review the notion of gauge
A DISPERSIVE ESTIMATE FOR THE LINEAR WAVE EQUATION WITH AN ELECTROMAGNETIC POTENTIAL
, 2006
"... Abstract. We consider radial solutions to the Cauchy problem for the linear wave equation with a small short–range electromagnetic potential (the“square version”of the massless Dirac equation with a potential) and zero initial data. We prove two a priori estimates that imply, in particular, a disper ..."
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Abstract. We consider radial solutions to the Cauchy problem for the linear wave equation with a small short–range electromagnetic potential (the“square version”of the massless Dirac equation with a potential) and zero initial data. We prove two a priori estimates that imply, in particular, a
Nonradiating sources, the AharonovBohm effect, and the question of measurability of electromagnetic potentials
"... [1] A new characterization of nonradiating (NR) sources is derived that is based on electromagnetic potentials. In the new description a hierarchy of NR sources is systematically created that includes certain nonlocalized NR sources having the property that their curl is localized. The important cla ..."
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Cited by 2 (0 self)
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[1] A new characterization of nonradiating (NR) sources is derived that is based on electromagnetic potentials. In the new description a hierarchy of NR sources is systematically created that includes certain nonlocalized NR sources having the property that their curl is localized. The important
On Experimental Evidence of Uncertainty of Quantized Electromagnetic Potential from QHE
, 1997
"... It is shown that the observed potential drops on QHE samples can be considered as a realization of uncertainty relation for the quantized two dimensional electromagnetic potential. 1 Recently it was shown that in accord with the canonical flux quantization, there should be an uncertainty relation fo ..."
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It is shown that the observed potential drops on QHE samples can be considered as a realization of uncertainty relation for the quantized two dimensional electromagnetic potential. 1 Recently it was shown that in accord with the canonical flux quantization, there should be an uncertainty relation
The Scattering Matrix For The Schrödinger Operator With A LongRange Electromagnetic Potential
 J. Math. Phys
, 2003
"... We consider the Schrödinger operator H = (ir +A) + V in the space L 2 (R with longrange electrostatic V (x) and magnetic A(x) potentials. Using the scheme of smooth perturbations, we give an elementary proof of the existence and completeness of modified wave operators for the pair H 0 = ; H. Our ma ..."
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Cited by 14 (2 self)
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We consider the Schrödinger operator H = (ir +A) + V in the space L 2 (R with longrange electrostatic V (x) and magnetic A(x) potentials. Using the scheme of smooth perturbations, we give an elementary proof of the existence and completeness of modified wave operators for the pair H 0 = ; H. Our
Results 1  10
of
2,898