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PHZ6426: Fall 2013 Problem set # 1: Solutions Instructor: D. L.
PHZ6426: Fall 2013 Problem set # 1: Solutions Instructor: D. L.

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... M q̂¨ = −V 0 (q̂) − η q̂˙ + Xt . In the high-T limit β → 0, the correlation tends to be time-local: βCXX (t) → 2ηδ(t). Thus the random force Xt becomes a classical white-noise: hXt Xu istoch = 2ηkB T δ(t − u). Now, replacing q̂ by q would yield the classical Langevin equation, its solution q(t) at V ...
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... describe the entire system quantum mechanically as an entangled state: • However, by our earlier discussion, such a macroscopic state will quickly decohere to a statistical mixed state, meaning the cat is either alive or dead before we open the box • This result has been verified experimentally via ...
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... All elements in a period have the same number of electrons in their outer shell. Inert gases are also known as rare earths or noble gases. All inert gases have 8 electrons in their outer shells. When atoms react, they form a stable arrangement of electrons. As you look to the right along any row on ...
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... operator for a system of infinite number of independent oscillators. The lowest energy, the zero-point energy (quantum field theoretically: the vacuum energy), for one mode is 12 ~ω = 21 ~ck; thus, since there are infinitely many modes of arbitrary high frequency in any finite volume, it follows tha ...
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... is that the amplifier must be able to convert the input power into the frequency determined by the signal. This is usually done using some kind of feedback. Lasers work according to the same sort of idea. The idea is to use atoms or other quantum systems as a kind of circuit element. They are object ...
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... unequivocally demonstrates that it is not a typical liquid. It is worthwhile to remark that the increased diffusivity cannot be due to defect migration, since the latter is of orders smaller. For example, hydrogen diffusion constant is only about 10-8~10-7 Å2/fs at 672~823 K in solid LiH with point ...
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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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