Wave particle-interactions
... such as the Bernstein-Green-Kruskal (BGK) waves. One uses comoving coordinates, x -> x - vt and v -> v - v0, such that a stationary system results, ∂/∂t -> 0. ...
... such as the Bernstein-Green-Kruskal (BGK) waves. One uses comoving coordinates, x -> x - vt and v -> v - v0, such that a stationary system results, ∂/∂t -> 0. ...
Interaction of Electromagnetic Radiation with Matter
... • This shows that, apart from an overall phase, the laser pulse travels along undistorted in ...
... • This shows that, apart from an overall phase, the laser pulse travels along undistorted in ...
Quantum Mechanics
... Features of phase space trajectories (these are not particle coordinate trajectories in time) 1) Constants of motion do not change along a phase space trajectory (PST) 2) Isolated system moves in a small part of PST along which the constants of motion are fixed 3) Ergodic hypothesis: A trajectory p ...
... Features of phase space trajectories (these are not particle coordinate trajectories in time) 1) Constants of motion do not change along a phase space trajectory (PST) 2) Isolated system moves in a small part of PST along which the constants of motion are fixed 3) Ergodic hypothesis: A trajectory p ...
Introduction I. Waves on a String
... the E-field is oscillating in the x-y plane and the B-field is oscillating in the x-z plane. Suppose that the wire is oriented parallel to the y-axis as shown. 1. As the wave propagates past the wire, would the electric field due to the radio wave cause the electrons in the wire to move? If so, woul ...
... the E-field is oscillating in the x-y plane and the B-field is oscillating in the x-z plane. Suppose that the wire is oriented parallel to the y-axis as shown. 1. As the wave propagates past the wire, would the electric field due to the radio wave cause the electrons in the wire to move? If so, woul ...
Physics January 17, 2001 E
... When this strikes a thin layer of material x thick in the y-z plane it will set up a sheet current Ky which will in turn create a magnetic field Bz+ on the side of the sheet where the wave is going. This in turn creates an induced electric field Ey which is 90o in phase behind Ein. The total outg ...
... When this strikes a thin layer of material x thick in the y-z plane it will set up a sheet current Ky which will in turn create a magnetic field Bz+ on the side of the sheet where the wave is going. This in turn creates an induced electric field Ey which is 90o in phase behind Ein. The total outg ...
Wave analogy tutorial
... the E-field is oscillating in the x-y plane and the B-field is oscillating in the x-z plane. Suppose that the wire is oriented parallel to the y-axis as shown. 1. As the wave propagates past the wire, would the electric field due to the radio wave cause the electrons in the wire to move? If so, woul ...
... the E-field is oscillating in the x-y plane and the B-field is oscillating in the x-z plane. Suppose that the wire is oriented parallel to the y-axis as shown. 1. As the wave propagates past the wire, would the electric field due to the radio wave cause the electrons in the wire to move? If so, woul ...
Quantum Hall hierarchy wave functions from Conformal Field Theory
... FQHE: basics, hierarchy and composite fermions Introduction to CFT description of QH wave functions Motivation and main results of our work CFT description of QH quasielectrons ‘Condensates’ of quasielectrons: Jain sequence & hierarchy Justification of results (consistency checks) Explicit hierarchi ...
... FQHE: basics, hierarchy and composite fermions Introduction to CFT description of QH wave functions Motivation and main results of our work CFT description of QH quasielectrons ‘Condensates’ of quasielectrons: Jain sequence & hierarchy Justification of results (consistency checks) Explicit hierarchi ...
1AMQ, Part II Quantum Mechanics
... Individual photons unpredictable in detail, BUT their average behaviour is predictable! At any point P in the interference pattern, the intensity gives the probability: ie I(P) is prop. to prob. that a photon hits pos. P. For waves, the intensity = (amplitude)2 and thus the wave and particle pictur ...
... Individual photons unpredictable in detail, BUT their average behaviour is predictable! At any point P in the interference pattern, the intensity gives the probability: ie I(P) is prop. to prob. that a photon hits pos. P. For waves, the intensity = (amplitude)2 and thus the wave and particle pictur ...
Chapter 13: Wave Propagation
... • In free space, an oscillating electric field creates and oscillating magnetic field, which creates an oscillating electric field, and so on. • These two fields contain energy: – In circuits the energy is returned to the circuit when the fields collapse – In a radio transmitter the antenna is desig ...
... • In free space, an oscillating electric field creates and oscillating magnetic field, which creates an oscillating electric field, and so on. • These two fields contain energy: – In circuits the energy is returned to the circuit when the fields collapse – In a radio transmitter the antenna is desig ...
Wave packet
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In physics, a wave packet (or wave train) is a short ""burst"" or ""envelope"" of localized wave action that travels as a unit. A wave packet can be analyzed into, or can be synthesized from, an infinite set of component sinusoidal waves of different wavenumbers, with phases and amplitudes such that they interfere constructively only over a small region of space, and destructively elsewhere. Each component wave function, and hence the wave packet, are solutions of a wave equation. Depending on the wave equation, the wave packet's profile may remain constant (no dispersion, see figure) or it may change (dispersion) while propagating.Quantum mechanics ascribes a special significance to the wave packet; it is interpreted as a probability amplitude, its norm squared describing the probability density that a particle or particles in a particular state will be measured to have a given position or momentum. The wave equation is in this case the Schrödinger equation. It is possible to deduce the time evolution of a quantum mechanical system, similar to the process of the Hamiltonian formalism in classical mechanics. The dispersive character of solutions of the Schrödinger equation has played an important role in rejecting Schrödinger's original interpretation, and accepting the Born rule.In the coordinate representation of the wave (such as the Cartesian coordinate system), the position of the physical object's localized probability is specified by the position of the packet solution. Moreover, the narrower the spatial wave packet, and therefore the better localized the position of the wave packet, the larger the spread in the momentum of the wave. This trade-off between spread in position and spread in momentum is a characteristic feature of the Heisenberg uncertainty principle,and will be illustrated below.