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1AMQ, Part II Quantum Mechanics
1AMQ, Part II Quantum Mechanics

... The Rydberg-Ritz Combination Principle is an empirical relationship which states that if n1 and n2 are any 2 lines in one series, then |n1n2| is a line in another series. ...
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... a rocket is launched, a skateboarder wiggles down a sidewalk or a 50 story building refuses to come tumbling down. Similarly, classical electromagnetic theory may not be “easy,” but macroscopic electromagnetic phenomena are no longer a mystery; it is a known world and, as a consequence, heavily expl ...
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... Atomic photoionization in the presence of dc electric fields is a playing field for testing classical and quantum mechanical concepts concerning the properties of matter on the microscopic level. In time-dependent wave-packet experiments the preparation of coherent superpositions of electronic state ...
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... hn|M̂(α)|mi = √ dx ψn (x/α)ψm (x) = dx (M̂(α−1 )ψn (x))∗ ψm (x). α ...
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... of the wave function from its true form, and so the expectation value of the energy for an approximate wave function can be a very good estimate of the corresponding energy Eigen value. By using an approximate wave function that depends on some small set of parameters and minimizing its energy with ...
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1 Bohr-Sommerfeld Quantization

... ψ(p) = [π~2 /a2 ]−1/4 exp[−a2 (p − p0 )2 /2~2 ]. Note that the rms width of the momentum distribution is given by ...
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... fixed (open systems). For example, suppose we have a surface on which certain types of atoms can be adsorbed (trapped). The surface is in contact with a gas containing these atoms, and depending on conditions some will stick to the surface while other become free and go into the gas. Suppose we are ...
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... long-range r-4 potential leads to semiclassical behavior for a wide range of collision energies, but where quantum phenomena dominate collisions at very low energies. Cold ion-atom collisions have been proposed as a means to demonstrate quantum gates [30], to cool atoms [31] or molecules [27,32,33] ...
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... P. Catillon et al, A Search for the de Broglie Particle Internal Clock by Means of Electron Channeling, Foundations of Physics (2008) 38: 659–664 • Found experimental evidence (resonance effect in electron channeling through a thin silicon crystal) at twice the de Broglie frequency as an “internal c ...
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Propagation of double Rydberg wave packets F Robicheaux and R C Forrey doi:10.1088/0953-4075/38/2/027

... overlap matrix does not have a negative effect on the calculations presented here since we used an implicit method to propagate the wavefunction as discussed below; however, the overlap matrix effectively eliminates the possibility of using a direct time propagation of the wavefunction since it is n ...
Canonical Ensemble
Canonical Ensemble

PDF only - at www.arxiv.org.
PDF only - at www.arxiv.org.

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Tight binding

In solid-state physics, the tight-binding model (or TB model) is an approach to the calculation of electronic band structure using an approximate set of wave functions based upon superposition of wave functions for isolated atoms located at each atomic site. The method is closely related to the LCAO method used in chemistry. Tight-binding models are applied to a wide variety of solids. The model gives good qualitative results in many cases and can be combined with other models that give better results where the tight-binding model fails. Though the tight-binding model is a one-electron model, the model also provides a basis for more advanced calculations like the calculation of surface states and application to various kinds of many-body problem and quasiparticle calculations.
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