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Symmetry of Single-walled Carbon Nanotubes
Symmetry of Single-walled Carbon Nanotubes

supplemental information
supplemental information

... We then expand |χ(t)i in these states and find the evolution according to i dt = Hef f |χi applying the boundary condition that the free space input field is a weak coherent state. The only terms in Hef f which create excitations are the driving fields, which are perturbative implying that the ampli ...
Qualifying Exam for Graduate Students – Fall 2008
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... v dt when you do this? (d) Repeat the previous steps for Maxwell’s equations in a linear dielectric (with no free charge or current) to get a new wave equation for E. Hint: use D = r0E. What do you obtain for v in this case? How does your result relate to what first year physics undergrads are oft ...
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... 33. Two parallel wires a distance 8 m apart carry 7 A and 8 A respectively in the opposite direction. What is the force per unit length between them? a. ~1.1o b. 160 o c. 16 o d. 10 o ...
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... characterizes an electron stable orbit. This number gives information about the energy of the electron and about its radial distance from the nuclei. 9) Ground State: is defined as the lowest energy state allowed for the electron in an atom. In the Bohr’s model this corresponds to the Bohr’s orbit f ...
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... A.-Ambainis 2011: Massive generalization of collision lower bound. If f is any problem whatsoever that’s symmetric under permuting the inputs and outputs, and has sufficiently many outputs (like the collision problem), then f’s classical query complexity  (f’s quantum query complexity)7 Compare to ...
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... While lights are the fastest and the most robust carriers of information, it is difficult to localize and store them. Recently, a novel scheme to store the photonic information in an atomic ensemble was proposed [1], which is based on the phenomenon of ultraslow light propagation [2]. Ultraslow ligh ...
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... C. Lasers use materials whose atoms have metastable states, which are excited states with relatively long lifetimes. 1. Ruby lasers use xenon-filled flash lamps to excite chromium ions in ruby rods. 2. Helium-neon lasers use an electric discharge to bring the atoms of the gas mixture to metastable l ...
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... for the doublet-spectra of the alkali metals. On the other hand, the anomalous splitting was hardly understandable from the standpoint of the mechanical model of the atom, since very general assumptions concerning the electron, using classical theory as well as quantum theory, always led to the same ...
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... potential the method reproduces the standard results, while for singular potentials this new method provides renormalized solutions that satisfy all the required analytical properties for a partial-wave amplitude. Illustrations of the method to regular and singular potentials ...
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PHYS 113: Quantum Mechanics Waves and Interference In much of
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... equal probability) the electron to be “near” one of three spots. There are certain places (where the probability is 0, for example), where you’d never find it. One caveat: once you look at the electron or observe it in any way, you will totally change its wave-function. After all, you know where it ...
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... The fact that one can solve the constraints with states with a well defined number of vertices and a given vector of colors implies that associated with them are Dirac observables. The total number of vertices and the vector of colors are Dirac observables. Notice that these observables do not have ...
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History of quantum field theory

In particle physics, the history of quantum field theory starts with its creation by Paul Dirac, when he attempted to quantize the electromagnetic field in the late 1920s. Major advances in the theory were made in the 1950s, and led to the introduction of quantum electrodynamics (QED). QED was so successful and ""natural"" that efforts were made to use the same basic concepts for the other forces of nature. These efforts were successful in the application of gauge theory to the strong nuclear force and weak nuclear force, producing the modern standard model of particle physics. Efforts to describe gravity using the same techniques have, to date, failed. The study of quantum field theory is alive and flourishing, as are applications of this method to many physical problems. It remains one of the most vital areas of theoretical physics today, providing a common language to many branches of physics.
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