Category: Waves & Wave Mechanics

Classification, Parameter Estimation and State Estimation:

Classification, Parameter Estimation and State Estimation:

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This plane wave segment can be thought of as a wave packet, called a beam or ray, consisting of a superposition of wave vectors very close in direction and magnitude to the central wave vector of the wave packet. Working on this project has increased my own personal credence in the correctness of the Everett approach to quantum mechanics from “pretty high” to “extremely high indeed.” There are still puzzles to be worked out, no doubt, especially around the issues of exactly how and when branching happens, and how branching structures are best defined. (I’m off to a workshop next month to think about precisely these questions.) But these seem like relatively tractable technical challenges to me, rather than looming deal-breakers.
Functional Methods in Quantum Field Theory and Statistical

Functional Methods in Quantum Field Theory and Statistical

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No, sensations have to do, presumably, with consciousness. Other prerequisites include the math of linear algebra, Euler's formula from complex analysis and the bra-ket notation. Why Take a Free Online Course in Physics? Since physical principles are so intimately intertwined in nearly every natural science discipline, you will have the opportunity to choose from a number of online physics courses and truly tailor your class work to your academic interests.
Mirror Symmetry (Smf/Ams Texts and Monographs, V. 1)

Mirror Symmetry (Smf/Ams Texts and Monographs, V. 1)

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Certain kinds of crystals, such as those made of calcite, are not isotropic — the speed of light in such crystals, and hence the wave frequency, depends on the orientation of the wave vector. Ether theory has come back into contemporary physics in a way that does not contradict general relativity. http://arxiv.org/ftp/physics/papers/0610/0610067.pdf Thanks. David Bohm (Bohm 1952) rediscovered de Broglie's pilot-wave theory in 1952. Quantitatively, we say that velocity = 1 slope of world line (4.1) in Galilean relativity.
Symmetries and Nuclear Structure (Nuclear Science Research

Symmetries and Nuclear Structure (Nuclear Science Research

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White dwarfs and neutron stars. (S/U grades permitted.) (Offered in alternate years.) (F) Gaseous nebulae, molecular clouds, ionized regions, and dust. In the course of their experimental work candidates should learn to: analyse, interpret, explain and evaluate the methodology, results and impact of their own and others' experimental and investigative activities in a variety of ways. A pressure $P$ in the medium is connected to the density by some characteristic relation $P = f(\rho)$ and, in particular, the equilibrium pressure $P_0$ is given by $P_0 = f(\rho_0)$.
Many-Particle Theory,

Many-Particle Theory,

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At time t = 0, point A on the wave-front reaches the boundary. As physicists like Niels Bohr and Albert Einstein began to study particles, they discovered new physics laws that were downright quirky. The whole tube represents a beam of light. The tighter the string, and the less its mass per unit of length, the faster the pulse travels down it. However, for many physicists the Standard Model is inadequate, because data on the masses, charges, and other properties of the fundamental particles need to be found from experiments.
Selected Papers on Wave Mechanics 1st Edition

Selected Papers on Wave Mechanics 1st Edition

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The higher the energy level, the larger it is, the higher the energy of the electrons it contains, and the farther they are from the nucleus. (When we say that electrons in higher main energy levels have greater energy, we are talking about potential energy. A node occurs where the interference of the incident and reflected wave is totally destructive, and an anti-node (point of maximum amplitude) occurs at the point where the interference is totally constructive.
Noise in Physical Systems and 1/f Fluctuation,

Noise in Physical Systems and 1/f Fluctuation,

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Consider first the derivative of the incident wave just below since this wave is travelling to the left. And this is what you'll understand in the next few minutes. The many worlds interpretation was introduced to avoid the “problem” of wave-function collapse, but why is this a problem? Does something “go out” from the eyes (or nose or mind) of a human, time-travel back two weeks and cause the observed result?
Wave Mechanics, A Love Story

Wave Mechanics, A Love Story

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And we go 2 over pi times that. 2 over pi is about 0.64. Momentum isn't directly measurable either, but we have no problem accepting that momentum is a "real" thing, so why do we have a problem with the wavefunction? On the other hand, one and two-slit experiments demonstrate wave-like properties for light via interference bands. The key idea to understanding where you see an image is to recognize that your brain interprets the light that reaches your eye as if the light rays travel in straight lines.
Pct Spin and Statistics, and All That (Advanced Book

Pct Spin and Statistics, and All That (Advanced Book

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This form of Newton’s second law is actually closer to Newton’s original statement of the law. This is the Most Simple Science Theory of Physical Reality (despite many claims to the contrary, science does actually work, we just needed the correct foundation of continuous Space rather than discrete matter). Straighten out the misunderstanding of Newton’s third law implicit in the question “If the force of the horse on the cart equals the force of the cart on the horse, why does anything ever go anywhere”?
Wave Propagation and Scattering in Random Media (Two

Wave Propagation and Scattering in Random Media (Two

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This is because of a "phase difference" which is pretty easy to understand if you draw it. Erica Carlson’s example of the spinning quarter in the RTB video Quantum Apologetics is a good example of this. Everett argued that this approach was philosophically a mess: it used two contradictory conceptual schemes to describe reality, the quantum one of wave functions and the classical one of us and our apparatus. Think about three phases of this experiment: 1) while the electron is moving toward the wall, quantum physics just says “it might hit anywhere on the wall” so we cannot know where it will hit; 2) a primary event (the physical interaction of electron-hitting-wall, which causes the electron's many location-potentialities to become one location-actuality) leads almost immediately to secondary events involving the detector, typewriter-and-paper, light bulb, poison-releasing device and maybe a poisoned cat; at this time you hear the typewriter and see the light, so you know that the electron hit the wall and has been detected; 3) two weeks later, when you see either cat or paper or movie, you know the cat's fate, paper's result, movie's results, and electron-hitting location.