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1 Introduction - Caltech High Energy Physics
1 Introduction - Caltech High Energy Physics

... The harmonic oscillator is an important model system pervading many areas in classical physics; it is likewise ubiquitous in quantum mechanics. The nonrelativistic Scrod̈inger equation with a harmonic oscillator potential is readily solved with standard analytic methods, whether in one or three dime ...
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Ex. = 1s 1 , 0 to (1-1)

... This number describes sublevels, shapes of these sublevels and is the Angular momentum quantum number. The number of sublevels (shapes) in an energy level equals the value of n, the principle quantum number. The first 4 sublevels are named s, p, d, f. Each sublevel has a unique shape: ...
Electric Forces and Fields
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... 1) An electron is pushed due to an electric field of 50N/C. If the mass of an electron is 9.11 x 10-31 kg, what would be the resulting acceleration of this electron? 2) What would the net electric field be for an object directly between a 6.0nC and a -7.5nC charge that is ...
Perspective Using classical mechanics in a quantum framework
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... potential energy of a proton held at the positive plate of this capacitor? (b) What is work would be done to move a proton from the negative plate of the capacitor to the positive plate? (c) If a proton is held at the positive plate of the capacitor and then released, what would be its final kinetic ...
The Chemical Context of Life
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... (denoted “1”) to another (denoted “2”), by a diffusion process. The electron can take many paths between 1 and 2. In a classical calculation, we sum all over all the probabilities of the various paths; in quantum mechanics, we sum over the amplitudes of the various paths, and only then compute the t ...
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... The calculation of the energy of a molecule using the Schrodinger equation is complicated by the fact that a molecule contains more than one electron that is somehow shared at different extents by a set of nuclei. In addition, the interaction between electrons is difficult to represent. These proble ...
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... • Thermoelectric effects (Seebeck effect), • AC conductivity, • Interaction with the electromagnetic field (reflection below the plasma frequency, transmission above the plasma frequency, plasma oscillations at the plasma frequency). While many of the results turn out to be inaccurate and the mechan ...
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... Historical Development of the Periodic Table Arrangement of elements in the Periodic Table a) Elements are arranged in an increasing order of proton number b) Vertical columns are called group ( Group 1  18) c) Horizontal rows are called period ( Period 1  7) d) Elements with similar chemical prop ...
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... Describe early milestones in the development of modern atomic theory. State and apply the law of conservation of mass and the law of definite proportions . State the premises of Dalton's atomic theory. Describe J. J. Thomson's experimental evidence for the existence of electrons . Describe Rutherfor ...
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... We study a spin-entangler device for electrons, mediated by Coulomb interaction U via a quantum dot proposed by Oliver et al[1]. The main advantage of this model, compared to others in the literature, is that single particle processes are forbidden. Within this model we calculate two electron transm ...


... tangential to the surface of the sphere, so I do not expect a component of S normal to the sphere and so there is no energy flux going through my spherical surface, so the 2nd integral of equation [4] is indeed equal to zero. 2. A point charge at (0,yo,0) and a magnetic dipole at (0,-yo,0): Let us a ...
neutrino_trans1
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... enough to resolve the oscillations, this guarantees that the wavepackets of the different i still overlap (barely). On the other hand, if the detector energy resolution is poor, and the oscillations can’t be resolved in the energy spectrum, the quantum description of this is that the i have “decoh ...
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Hydrogen atom



A hydrogen atom is an atom of the chemical element hydrogen. The electrically neutral atom contains a single positively charged proton and a single negatively charged electron bound to the nucleus by the Coulomb force. Atomic hydrogen constitutes about 75% of the elemental (baryonic) mass of the universe.In everyday life on Earth, isolated hydrogen atoms (usually called ""atomic hydrogen"" or, more precisely, ""monatomic hydrogen"") are extremely rare. Instead, hydrogen tends to combine with other atoms in compounds, or with itself to form ordinary (diatomic) hydrogen gas, H2. ""Atomic hydrogen"" and ""hydrogen atom"" in ordinary English use have overlapping, yet distinct, meanings. For example, a water molecule contains two hydrogen atoms, but does not contain atomic hydrogen (which would refer to isolated hydrogen atoms).
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