here - UiO
... Problem II We consider high frequency electromagnetic waves propagating in a cold, magnetized plasma consisting of electrons and one or more species of ions. We consider waves with wave vector k parallel with the magnetic field. a) What are the dispersion relations valid for this case? b) At given p ...
... Problem II We consider high frequency electromagnetic waves propagating in a cold, magnetized plasma consisting of electrons and one or more species of ions. We consider waves with wave vector k parallel with the magnetic field. a) What are the dispersion relations valid for this case? b) At given p ...
Exam No. 01 (Fall 2013) PHYS 520A: Electromagnetic Theory I
... where the closed surface encloses the volume between z = za − δ and z = za + δ for infinitely small δ > 0. Choose the plane wave to be incident on the side z = z − δ of the plate, and assuming E = 0 and B = 0 on the side z = z + δ, conclude that F = ẑ · T|z=za −δ , A ...
... where the closed surface encloses the volume between z = za − δ and z = za + δ for infinitely small δ > 0. Choose the plane wave to be incident on the side z = z − δ of the plate, and assuming E = 0 and B = 0 on the side z = z + δ, conclude that F = ẑ · T|z=za −δ , A ...
lecture 2
... • waves are collective bulk disturbances, whereby the motion at one position is a delayed response to the motion at neighbouring points • propagation is defined by differential equations, determined by the physics of the system, relating derivatives with respect to time and position ...
... • waves are collective bulk disturbances, whereby the motion at one position is a delayed response to the motion at neighbouring points • propagation is defined by differential equations, determined by the physics of the system, relating derivatives with respect to time and position ...
CHAPTER 5: Wave Properties of Matter and Quantum
... The solution to the wave particle duality of an event is given by the following principle. Bohr’s principle of complementarity: It is not possible to describe physical observables simultaneously in terms of both particles and waves. Physical observables are those quantities such as position, velocit ...
... The solution to the wave particle duality of an event is given by the following principle. Bohr’s principle of complementarity: It is not possible to describe physical observables simultaneously in terms of both particles and waves. Physical observables are those quantities such as position, velocit ...
Adobe Acrobat file ()
... (c). Two particles with the same de Broglie wavelength will have the same momentum p = mv. If the electron and proton have the same momentum, they cannot have the same speed because of the difference in their masses. For the same reason, remembering that KE = p2/2m, they cannot have the same kinetic ...
... (c). Two particles with the same de Broglie wavelength will have the same momentum p = mv. If the electron and proton have the same momentum, they cannot have the same speed because of the difference in their masses. For the same reason, remembering that KE = p2/2m, they cannot have the same kinetic ...
Quantum Mechanics II, Ex 4730
... Quantum Mechanics II, Ex 4730 Submitted by: Roee Steiner 034744821 Given a spherical shell with radius R and a particle with mass M and charge e. Notice that the standard variables which show the particle are (θ, φ, Lx, Ly, Lz) In this question we have to assume that the particle can be excited from ...
... Quantum Mechanics II, Ex 4730 Submitted by: Roee Steiner 034744821 Given a spherical shell with radius R and a particle with mass M and charge e. Notice that the standard variables which show the particle are (θ, φ, Lx, Ly, Lz) In this question we have to assume that the particle can be excited from ...
5.3_Matter_Waves
... Everything (photons, electrons, SMU students, planets, ..) has a probability wave - de Broglie Wavelength λ = h = Planck’s constant p momentum ...
... Everything (photons, electrons, SMU students, planets, ..) has a probability wave - de Broglie Wavelength λ = h = Planck’s constant p momentum ...
Wave packet
.gif?width=300)
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.