Category Archive: Waves & Wave Mechanics

Aug 15

Non-diffracting Waves

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Positions of maxima with amplitude 2A, where A is the amplitude of a single wave, are called antinodes. But when physicists began delving into this strange new realm at the dawn of the 20th century, they discovered that the old, deterministic laws of classical physics no longer apply at that scale. However, muons created by cosmic rays 20 km up in the atmosphere reach the Earth’s surface. There is no way of knowing whether the cat is dead or alive, until the box is opened.

Aug 14

Stationary and Time Dependent Gross-pitaevskii Equations:

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The period, T, is the time taken for any particle to undergo a complete oscillation. We have already seen the quantum mechanical treatment of angular momentum and rotational dynamics. This disturbance, then, propagates along the string until it hits the stationary pulley about one meter away. Figure 11.9: A crank on a fixed axle turns a drum, thus winding the rope around the drum and raising the mass. (b) Compute the angular momentum of the car about the center of town when it is 3 km north of the above point. 4.

Aug 14

Modern Pulsed and Continuous-Wave Electron Spin Resonance

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Of course it's going to be the double slit experiment again. (Most experimental physicists do actually perform other experiments too, but they need not concern us here.) However this time, instead of light, we will shoot electrons through the slit. My fellow QBists and I instead think that what Bell’s theorem really indicates is that the outcomes of measurements are experiences, not revelations of something that’s already there. Prerequisites: Advanced Placement in physics and mathematics, or the equivalent, and the instructor's permission. (A special placement meeting is held during Orientation.) This accelerated two-semester sequence covers the subject matter of PHYS W1601, W1602 and W2601, and is intended for those students who have an exceptionally strong background in both physics and mathematics.

Aug 14

Shock Waves: 26th International Symposium on Shock Waves

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The clinching evidence that the NIST researchers had achieved their goal came from their observation of an interference pattern; that phenomenon is a telltale sign that a single beryllium atom produced two distinct wave functions that interfered with each other. This argument gives the isothermal speed of sound, and it is wrong. We begin our study of quantum mechanics by discussing the diffraction undergone by X-rays and electrons when they interact with a crystal.

Aug 14

Wave Dynamics of Generalized Continua (Advanced Structured

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Band theory: theory explaining electrical conduction in solids. That is, we can examine a point on the wave where with the understanding that the part that represents the wave is always the real part of the equation. At this point you may be inclined to disbelieve the reality of the In-Wave. Equations of this type are generally more difficult to solve than algebraic equations, as there are no universal techniques for solving all forms of such equations.

Aug 14

The Trouble with Physics: The Rise of String Theory, The

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For the case of a central force, i. e., one which acts along the line of centers between two objects (such as gravity), there often exists a particularly convenient choice of origin. This difference can be seen to be $2d\sin\theta$, where $d$ is the perpendicular distance between the planes. A good model will predict unobserved behaviour. Distinction between renewable energy sources or not. Output from a shallow water equation model of water in a bathtub.

Aug 14

Electromagnetic Theory Volume 2

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In 1923, Louis de Broglie predicted that since light exhibited both wave and particle behavior, particles should also. The Y wave travels from the photon emitter, through both slits, and back to the wall, creating a pattern just like light would, except it's a pattern of probability instead of light. Waves exhibit common behaviors under a number of standard situations, e. g. What is its speed u2 in the +x direction after this close approach to the planet?

Aug 13

String Theory: Volume 1, An Introduction to the Bosonic

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Present, through the documents most diverse real-life situations where the time evolution is of particular importance: seismic waves, mechanical vibrations, movements swings, Earth-Moon laser, increasing the speed of transport (Train high speed), increasing the clock frequency of computers, time scale of plate tectonics, and launch a rocket into orbit satellites, the Mir space station falling, parachute jumping and the elastic, improving sports performance, etc..

Aug 13

Classical Theory of Gauge Fields

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On squaring and adding a cos θ and a sin θ, a = [ a1² + a2² + 2 a1a2 cos θ ] ½, => from this equation it can be seen that when θ = 0 ,2π, 4π …. then, a = a1 + a2. When external magnetic fields are present, the gradient should be understood as the covariant derivative, involving the vector potential. (Since the denominator on the right hand side of the guiding equation vanishes at the nodes of ψ, global existence and uniqueness for the Bohmian dynamics is a nontrivial matter. But the probability of collapse grows astronomically as particles clump together, so that macroscopic objects lose their quantum features and behave classically.

Aug 13

The Plane Wave Spectrum Representation of Electromagnetic

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Without quantum mechanics there would be no global economy to speak of, because the electronics revolution that brought us the computer age is a child of quantum mechanics. And now you get like a unit matrix in the space of positions. Thus, in quantum mechanics, the angular momentum is completely specified if the length and one component of the angular momentum vector are known. The ‘microscopic’ aspect of the complementary variables is indeed hidden from us.

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