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Chapter 3, Lecture 1
Chapter 3, Lecture 1

... Symmetry is very important in physics and especially particle physics. Symmetries are connected to conservation laws (rotational invarianceangular momentum conservation; translational invariancemomentum conservation) Transformations can be continuous or discrete e.g. translations, rotations, Lor ...
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Tesla Healing Technology - Breakthru

... amplify, and so measure, the extremely weak biophoton wave-particles emitted by all living cells. Footnotes 9’10 By the 1950s the broader scientific world was experiencing a revolution. Advances in quantum mechanics and the seemingly unrelated field of radio astronomy began to remove some of the con ...
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... A fourth quantum number is added to pinpoint the location 4. spin quantum number (ms) Chang, R. 2002. Chemistry 7th ed. Singapore: McGraw-Hill. ...
Abstract - The Budker Group
Abstract - The Budker Group

... Computer” describing a quantum algorithm which could be used to efficiently factor huge numbers into their prime factors. One of the most fascinating applications of this procedure was the efficiency with which it was able to defeat complex encryption schemes that would otherwise be impossible to de ...
How the Quantum Universe Became Classical
How the Quantum Universe Became Classical

... Other important examples, where the fluctuations are more significant, are the stock market or the weather. In these stochastic theories we still think of the variables like position and momentum as taking definite values, even though those values are known imperfectly. ...
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Many-Electron States - cond

Classical Nature of the Evolution of Dark Energy Density
Classical Nature of the Evolution of Dark Energy Density

... now” problem: why do we find ourself in such a epoch when the cosmological constant is near zero [4] and why do we live during an era when the energy densities in matter and dark energy are comparable [5]. In this paper, we establish a quantum theory of uniform scalar field for the evolution of dark ...
The strange (hi)story of particles and waves
The strange (hi)story of particles and waves

... Some important phenomena, though, remained in conflict with Schrödinger’s theory. While his general wave equation ih∂y/∂t = Hy would allow various time-dependent solutions, such as the moving wave packet of Fig. 1, bound electrons appeared to be restricted to standing waves. The latter are solution ...
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Electronic Structure of Atoms Chapter 6

... According to Planck’s theory, matter can emit and absorb energy only in whole-number multiples of hn, such as hn, 2hn, 3hn, 4hn, and so forth. If the quantity of energy emitted by an atom is 3hn, for example, we say that three quanta of energy have been emitted (quanta being the plural of quantum). ...
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... for particles like photons which have zero rest mass. However, this equation cannot be applied to particles which have non-zero rest mass. It was Erwin Schrödinger who developed the non-relativistic wave equation for particles with non-zero rest mass. In 1926 he successfully applied this wave equa ...
Electrical control of a long-lived spin qubit in a
Electrical control of a long-lived spin qubit in a

... In parallel, the presence of the excided valley-orbit state, close in energy and strongly coupled to the ground state, introduces a substantial non-linearity in our system [2]. This non-linearity allows us to also achieve coherent single-spin control by second harmonic generation, which means we can ...
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... To properly address the molecular properties of interest, both relativistic effects and electron correlation need to be accounted for. These two properties are not additive, and, therefore, correlation needs to be incorporated into the four-component framework. We present the implementation of quadr ...
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... the phase velocity is NOT the speed of the particle. Use the Einstein’s relationship E = ~ω and the classical energy E = p2 /2m which is relevant for a slow particle. 2. Now use the relativistic expression for energy E = ...
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A Formal Cause Beyond Space and Time

... discrete energy must still propagate as waves with particular frequencies in space and time which themselves are continuous. While the existence of h leads Planck to partially deny the continuity of energy (energy is discrete only when being absorbed by or emitted from a hot body) without infringing ...
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6.1 Nondegenerate Perturbation Theory

... agreement with both the original Bohr model and experiment. But we know that the actual situation is more complicated. For instance, a correct treatment of the masses will assume that both proton and electron rotate about the center of mass. To a first approximation, this can be accommodated by repl ...
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Wave–particle duality

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