How Einstein chased the light

... Which transformation?11 Years before, when Einstein first learned the device of such field transformations from the magnet and conductor thought experiment, upon which transformation did Einstein settle? Surely it was not the full transformation equations of 1905, but something a little less. What ...

... Which transformation?11 Years before, when Einstein first learned the device of such field transformations from the magnet and conductor thought experiment, upon which transformation did Einstein settle? Surely it was not the full transformation equations of 1905, but something a little less. What ...

An Anisotropic PML For Use With Biaxial Media

... evident that the permittivity tensor for medium 2 is biaxial, while its permeability tensor is uniaxial, and that the tensors are of a similar form to other PML’s [3]. Any medium 2 satisfying (11) and (12) will act as a PML for biaxial or isotropic dielectric materials. Typically, the PML is used to ...

... evident that the permittivity tensor for medium 2 is biaxial, while its permeability tensor is uniaxial, and that the tensors are of a similar form to other PML’s [3]. Any medium 2 satisfying (11) and (12) will act as a PML for biaxial or isotropic dielectric materials. Typically, the PML is used to ...

Microscopic-macroscopic connection

... Cubic symmetries with q 6= 0 Longitudinal dielectric function One can show that the relation ...

... Cubic symmetries with q 6= 0 Longitudinal dielectric function One can show that the relation ...

Option A.1 - The beginnings of relativity

... Although most people think of Einstein when they think of “relativity,” the term simply describes conversions between one reference frame and another. Thus there is what we could term classical relativity, which incorporates the Galilean transformations and Newton’s concepts of absolute time and s ...

... Although most people think of Einstein when they think of “relativity,” the term simply describes conversions between one reference frame and another. Thus there is what we could term classical relativity, which incorporates the Galilean transformations and Newton’s concepts of absolute time and s ...

J ames Clerk Maxwell and his Equations

... Maxwell was born in Edinburgh on 13 June 1831 but spent his early childhood (1831-41) at Glenlair in Scotland. He showed remarkable curiosity at an early age, asking questions such as "What's the go of that?", "What does it do?" and if he was not satisfied with the answer he would ask "But what is t ...

... Maxwell was born in Edinburgh on 13 June 1831 but spent his early childhood (1831-41) at Glenlair in Scotland. He showed remarkable curiosity at an early age, asking questions such as "What's the go of that?", "What does it do?" and if he was not satisfied with the answer he would ask "But what is t ...

D. F. Scofield and P. Huq, 2014. Fluid dynamical Lorentz force law

... This speed is a material property and so is expected to vary from ﬂuid to ﬂuid. The GTF equations contain a subset of equations that have the same mathematical form as Maxwellʼs equations. Thus, these equations are said to be isomorphic to Maxwellʼs equations; both theories can describe transverse w ...

... This speed is a material property and so is expected to vary from ﬂuid to ﬂuid. The GTF equations contain a subset of equations that have the same mathematical form as Maxwellʼs equations. Thus, these equations are said to be isomorphic to Maxwellʼs equations; both theories can describe transverse w ...

PDF-2

... • Physical basis of Special Relativity: the Michelson-Morley experiment, Einstein’s postulates, Lorentz transformations, time dilation and Fitzgerald contraction, addition of velocities, rapidity, Doppler effect and aberration, Minkowski diagrams. [3] • Non-orthogonal co-ordinates, covariant and con ...

... • Physical basis of Special Relativity: the Michelson-Morley experiment, Einstein’s postulates, Lorentz transformations, time dilation and Fitzgerald contraction, addition of velocities, rapidity, Doppler effect and aberration, Minkowski diagrams. [3] • Non-orthogonal co-ordinates, covariant and con ...

Electromagnetic Theory - National Open University of Nigeria

... where c is the speed of light. The appearance of c in this force law is a hint that special relativity plays an important role in these discussions. If we have both the electric and magnetic fields, the total force that acts on a charge is of course given by: ...

... where c is the speed of light. The appearance of c in this force law is a hint that special relativity plays an important role in these discussions. If we have both the electric and magnetic fields, the total force that acts on a charge is of course given by: ...

Maxwell`s Equations and QED: Which Is Fact and

... physically with stability with respect to radiation according to Maxwell’s equations, with the further constraints that it be relativistically invariant and give rise to electron spin, is achievable using a classical approach. Starting with the same essential physics as Bohr, Schrödinger, and Dirac ...

... physically with stability with respect to radiation according to Maxwell’s equations, with the further constraints that it be relativistically invariant and give rise to electron spin, is achievable using a classical approach. Starting with the same essential physics as Bohr, Schrödinger, and Dirac ...

Research paper: The Significance of Maxwell`s Equations

... Weber/Kohlrausch ratio by linking this ratio with the elasticity and density of a perfectly elastic solid, and it was then that he first stated his conclusion that light is a wave in the same medium that is the cause of electric and magnetic phenomena, but it wasn’t until 1864 that Maxwell derived ...

... Weber/Kohlrausch ratio by linking this ratio with the elasticity and density of a perfectly elastic solid, and it was then that he first stated his conclusion that light is a wave in the same medium that is the cause of electric and magnetic phenomena, but it wasn’t until 1864 that Maxwell derived ...

Einstein`s Special Theory of Relativity and the Problems in the

... How could these conflicting considerations be reconciled? Einstein’s solution to this puzzle became the central conceptual innovation of special relativity. Einstein urged that we only think the two postulates are incompatible because of a false assumption we make tacitly about the simultaneity of e ...

... How could these conflicting considerations be reconciled? Einstein’s solution to this puzzle became the central conceptual innovation of special relativity. Einstein urged that we only think the two postulates are incompatible because of a false assumption we make tacitly about the simultaneity of e ...

Einsteinʼs Special Theory of Relativity and the Problems in the

... physics. 4 Until this electrodynamics emerged, special relativity could not arise; once it had emerged, special relativity could not be stopped. Its basic equations and notions were already emerging in the writings of H. A. Lorentz and Henri Poincaré on electrodynamics. The reason is not hard to und ...

... physics. 4 Until this electrodynamics emerged, special relativity could not arise; once it had emerged, special relativity could not be stopped. Its basic equations and notions were already emerging in the writings of H. A. Lorentz and Henri Poincaré on electrodynamics. The reason is not hard to und ...

Advanced Classical Physics, Autumn 2013

... In particular we can consider the case of a set of orthogonal unit vectors, ı̂, ̂, k̂ fixed in the body, chosen in accordance with the right-hand rule (index finger points in the direction of ı̂, middle finger in the direction of ̂ and thumb in the direction of k̂), which we can use as a basis of ...

... In particular we can consider the case of a set of orthogonal unit vectors, ı̂, ̂, k̂ fixed in the body, chosen in accordance with the right-hand rule (index finger points in the direction of ı̂, middle finger in the direction of ̂ and thumb in the direction of k̂), which we can use as a basis of ...

Physics 218: Electricity and Magnetism II

... as the second, but it is full of insight into how electromagnetic waves work, useful mechanical analogies, and clever uses of mathematics that one might consider too advanced for the anticipated sophomore audience. Dan hopes that the latest printing still includes the “optics kit” that came with ...

... as the second, but it is full of insight into how electromagnetic waves work, useful mechanical analogies, and clever uses of mathematics that one might consider too advanced for the anticipated sophomore audience. Dan hopes that the latest printing still includes the “optics kit” that came with ...

Maxwell equations - Neo

... which the aforementioned researchers already examined mechanics – although time does not enter into classical mechanics on an equal basis with the spacelike coordinates, but as an independent parameter, as opposed to Minkowski’s theory – when the metric of this four-dimensional space of Minkowski do ...

... which the aforementioned researchers already examined mechanics – although time does not enter into classical mechanics on an equal basis with the spacelike coordinates, but as an independent parameter, as opposed to Minkowski’s theory – when the metric of this four-dimensional space of Minkowski do ...

Measurement of the force exerted on the surface of an object

... where this time neutral atoms, j = n, come into play: the force probe is not sensitive only to charged particles, but also to neutral atoms. Additionally, an electrostatic force FE (electrostatic stress) is pulling the surface toward the plasma. However, this is not the only diﬀerence. The integral ...

... where this time neutral atoms, j = n, come into play: the force probe is not sensitive only to charged particles, but also to neutral atoms. Additionally, an electrostatic force FE (electrostatic stress) is pulling the surface toward the plasma. However, this is not the only diﬀerence. The integral ...

Germain ROUSSEAUX

... Max Von Laue was the doctoral student of Max Planck who was a specialist of thermodynamics. Indeed, Planck was the first to treat the extension of relativity to thermodynamics. Hence, it is not surprising that his student used thermodynamics in order to tackle the problem of formulating an electroma ...

... Max Von Laue was the doctoral student of Max Planck who was a specialist of thermodynamics. Indeed, Planck was the first to treat the extension of relativity to thermodynamics. Hence, it is not surprising that his student used thermodynamics in order to tackle the problem of formulating an electroma ...

James Clerk Maxwell

... May lie in dust when we are dead, But love is ours, and shall be still When earth and seas are fled. J.C. Maxwell Putting in numbers from an experiment of 1856 by G. Kohlrausch and W. Weber, Maxwell found that the electromagnetic wave propagation velocity is equal to the velocity of light. This theo ...

... May lie in dust when we are dead, But love is ours, and shall be still When earth and seas are fled. J.C. Maxwell Putting in numbers from an experiment of 1856 by G. Kohlrausch and W. Weber, Maxwell found that the electromagnetic wave propagation velocity is equal to the velocity of light. This theo ...

Germain ROUSSEAUX.

... between two charges (two electrons), whose one of them is at rest in the adopted frame of reference and studying how the interaction forces transform when one goes, thanks to the Lorentz-Einstein relations, to a system of coordinates in which both charges are in motion. One sees the appearance of ad ...

... between two charges (two electrons), whose one of them is at rest in the adopted frame of reference and studying how the interaction forces transform when one goes, thanks to the Lorentz-Einstein relations, to a system of coordinates in which both charges are in motion. One sees the appearance of ad ...

JJ Thomson and “Hidden” - Physics Department, Princeton University

... to dpm,overt /dt = −ṁ × E/c (see, for example, sec. IV of [42], the last line on p. 53 of [43]) and sec. 2.5 of [44]), so the ﬁnal “overt” momentum of the dipole is pm,overt = m × E/c which equals the initial “hidden” mechanical momentum of the magnetic dipole in the electric ﬁeld [10]. Meanwhile, ...

... to dpm,overt /dt = −ṁ × E/c (see, for example, sec. IV of [42], the last line on p. 53 of [43]) and sec. 2.5 of [44]), so the ﬁnal “overt” momentum of the dipole is pm,overt = m × E/c which equals the initial “hidden” mechanical momentum of the magnetic dipole in the electric ﬁeld [10]. Meanwhile, ...

Germain ROUSSEAUX

... Pacs Number : 03.50.De ; 41.20.-q ; 47.65.+a . It is true that Ampère’s formula is no more admissible today, because it is based on the Newtonian idea of instantaneous action at a distance and it leads notably to the strange consequence that two consecutives elements of the same current should repea ...

... Pacs Number : 03.50.De ; 41.20.-q ; 47.65.+a . It is true that Ampère’s formula is no more admissible today, because it is based on the Newtonian idea of instantaneous action at a distance and it leads notably to the strange consequence that two consecutives elements of the same current should repea ...

The four Maxwell equations

... B is the magnetic flux through an area and D is the electric flux through an area. ...

... B is the magnetic flux through an area and D is the electric flux through an area. ...

Plasma Process 4 kin..

... an electric field that depends on the local densities of the charge carrier. Because of this, we will begin to look at the velocity distribution function f (r, v, t ) = f x, y, z, vx , vy , vz , t . The number of particles that are inside a volume of dxdydzdvx dvy dvz is simply ...

... an electric field that depends on the local densities of the charge carrier. Because of this, we will begin to look at the velocity distribution function f (r, v, t ) = f x, y, z, vx , vy , vz , t . The number of particles that are inside a volume of dxdydzdvx dvy dvz is simply ...

Ripplon-induced tunneling transverse to the magnetic field P. M. Platzman

... interest where a *1, the prefactor is determined by the kinematic terms in Eq. ~6!. The corrections from other terms are ;1/g L. For a &1, the electron is scattered by ripplons into highly excited Landau bands behind the barrier, with the band number n;G(Q̄2Q b ). ~We note that the steepest descent ...

... interest where a *1, the prefactor is determined by the kinematic terms in Eq. ~6!. The corrections from other terms are ;1/g L. For a &1, the electron is scattered by ripplons into highly excited Landau bands behind the barrier, with the band number n;G(Q̄2Q b ). ~We note that the steepest descent ...

Electromagnetic force and torque in Lorentz and Einstein

... formulation of EM force and torque does not invoke hidden entities under such circumstances. Moreover, the total force and the total torque exerted by EM fields on any given object turn out to be independent of whether force and torque densities are evaluated using the Lorentz law or obtained in acc ...

... formulation of EM force and torque does not invoke hidden entities under such circumstances. Moreover, the total force and the total torque exerted by EM fields on any given object turn out to be independent of whether force and torque densities are evaluated using the Lorentz law or obtained in acc ...