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Chemistry Atomic structure Chapter 4, and Chapter 5, p. 146-148
Chemistry Atomic structure Chapter 4, and Chapter 5, p. 146-148

... Isotopes: atoms with the same # of protons but different #’s of neutrons Mass of Isotopes: isotopes containing more neutrons have a greater mass Isotope Notation: each isotope of an element is identified with a # called the mass # Mass # = Atomic # + # of Neutrons ...
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... During the discussion of the integer quantum Hall e↵ect we found that the Hall conductivity has to be an integer multiple of e2 /h. How can we reconcile this with the fractionally quantized plateau at ⌫ = 1/3 in Fig. 7.1? The key issue was the assumption of a unique ground state on the torus with a ...
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A wave is a wave is a wave

... Standing waves - mathematically • Take two identical waves traveling in opposite directions y1 = ym sin (kx - wt) y2 = ym sin (kx + wt) yT = y1 + y2 = 2ym cos wt sin kx This uses the identity sin a + sin b = 2cos½(a-b)sin½ (a+b) ...
A wave is a wave is a wave
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... Standing waves - mathematically • Take two identical waves traveling in opposite directions y1 = ym sin (kx - wt) y2 = ym sin (kx + wt) yT = y1 + y2 = 2ym cos wt sin kx This uses the identity sin a + sin b = 2cos½(a-b)sin½ (a+b) ...
Quantum law - Free Coursework for GCSE
Quantum law - Free Coursework for GCSE

... mechanics, the behaviour of a quantum particle is radically different from a classical particle. The essence of the difference lies in the concept of measurement, which results in an observation of the state of the system. A classical particle, whether it is observed or unobserved, is in the same st ...
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slicing and dicing photons - Department of Physics and Astronomy

... direction of the light beam’s propagation can influence the effects induced in the material. Now, Yang and colleagues have shown that material modifications induced by femtosecond laser pulses can be distinctly different when a laser beam propagates in opposite directions. Their tests were performed ...
It`s a Quantum World: The Theory of Quantum Mechanics
It`s a Quantum World: The Theory of Quantum Mechanics

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The Bohr model depicts atoms as small, positively

... explaining the Rydberg formula for the spectral emission lines of atomic hydrogen. While the Rydberg formula had been known experimentally, it did not gain a theoretical underpinning until the Bohr model was introduced. Not only did the Bohr model explain the reason for the structure of the Rydberg ...
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Lorentz Invaiance Violation and Granularity of space time

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Quantum Harmonic Oscillator Eigenvalues and Wavefunctions:

... physical chemistry courses. In chemistry, quantum harmonic oscillator is often used to as a simple, analytically solvable model of a vibrating diatomic molecule. The model captures well the essence of harmonically vibrating bonds, and serves as a starting point for more accurate treatments of anharm ...
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... variable but a constant of nature (disregarding relativistic effects for the moment), and from now on without the subscript e) - and that was all to it. If a force F acts on it, e.g. via an electrical field E, in classical mechanics Newtons laws applies and we can write d2r F =–e·E = m· dt2 With r = ...
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... Flashes of light are emitted at the points C1 and C2 when the origins (O & O’) of the two frames coincide. To the trackside observer at O, the flashes are simultaneous. To the observer on the train, however, the flash emitted at C’2 is received before the flash emitted at C’1. Yet both observers mea ...
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... CANBERRA, Australia -- It's not quite "Star Trek" yet, but Australian university researchers in quantum optics say they have "teleported" a message in a laser beam using the same technology principles that enabled Scotty to beam up Captain Kirk. ...
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... S. Mayboroda: Localization of Eigenfunctions The property of the localization of the eigenfunctions in rough domains or rough materials permeates acoustics, quantum physics, elasticity, to name just a few. Localization on fractal domains was used for noise abatement walls which up to date hold world ...
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Physics 102: Lecture 24 Heisenberg Uncertainty Principle Physics

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... physics is not adequate for describing all physical phenomenon. In particular it lacks the ability to predict atomic-scale events. The Ramsauer-Townsend experiment was performed first in the early 1920’s. The results obtained were clearly non-classical. It was observed that as a bombarding electron’ ...
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The Modern Atomic Model

... Bohr Model of the Atom (review) •Energy levels contain electrons. •Electrons travel around the nucleus. •Different orbitals varied by different quantum (energy). •Gaps between energy levels were not equal. ...
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From Last Time… Today Particle in a box or a
From Last Time… Today Particle in a box or a

... • Quantum mechanics says this wavefunction physically represents the particle. • The amplitude squared of each contribution is the probability that a measurement will determine a particular momentum. • Copenhagen interpretation says that before a measurement, all momenta exist. Measurement ‘collapse ...
From Last Time… - High Energy Physics
From Last Time… - High Energy Physics

Teacher text
Teacher text

... In Holland, the Modern Physics Project provides a deeper and more up-to-date understanding of the atom, but it is an experimental program. Trying to attract also teachers who do not, or do not yet want to be fully involved project, we have tried to provide two series of about three introductory less ...
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Wave–particle duality

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