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Particle in a box
Particle in a box

... Particle confined to a fixed region of space e.g. ball in a tube- ball moves only along length L ...
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Electromagnetic radiation and resonance

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... most cases, one will obtain a Lie group called the “gauge group” of the system. By studying the associated Lie algebra of this gauge group, one finds the conserved quantities in the system. This is a standard tool for modern physicists and it has been said that Noether’s theorem is second only to Py ...
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... states with N + 1 particles will be zero. Moreover, this is a bit weird, because if we have a closed system it is clearly unphysical to have a state which is a linear superposition of different particle number states – this would violate conservation of particle number. So this extension of the Hilb ...
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Identical Particles - Theory of Condensed Matter
Identical Particles - Theory of Condensed Matter

... exchange of two particles, while the spin triplet wavefunction is symmetric. For a general state, the total wavefunction for the two electrons in a common eigenstate of S2 , Sz and the Hamiltonian Ĥ then has the form: Ψ(r1 , s1 ; r2 , s2 ) = ψ(r1 , r2 )χ(s1 , s2 ) , where χ(s1 , s2 ) = )s1 , s2 |χ% ...
Theoretical Foundation of the AB Effect E. Comay Charactell Ltd. PO
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... each plate is covered uniformly with electric charge, as shown. Thus, the self energy of each plate does not change during the experiment. The actual size of the plates is much larger than the distance between them and the distance between the plates of each pair is infinitesimal. An electronic wave ...
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Decoherence of matter waves by thermal emission of radiation
Decoherence of matter waves by thermal emission of radiation

... or molecules can be sufficiently well isolated to exhibit their quantum nature. However, there must be a transition region between these two limiting cases. Interestingly, as we show in this study, C70 fullerene molecules have just the right amount of complexity to exhibit perfect quantum interferen ...
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LAWS, RULES, PRINCIPLES, EFFECTS, PARADOXES, LIMITS,

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... Most of the lectures will cover material on the fully-quantum mechanical description of the radiation field and its interaction with matter, as treated in the later chapters. We begin at chapter 10, in which Maxwell’s equations are quantized, and we then proceed to consider various properties, measu ...
Quantum Optics - Department of Physics and Astronomy
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... light quantum striking the surface of metal and ejecting electrons [1]. His work seemed to support the existence of a photon, but W.E. Lamb and M.O. Scully proved that Einstein’s theory of photons was plausible but not the only one [2]. Their theory treated atoms quantum mechanically and light class ...
Manifestation of classical phase in a single spontaneously emitted
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... wave in a multimode quantized field. We study spontaneous emission, scattering, and re-absorption by two-level atoms in a one-dimensional optical cavity, and observe classical phase information in the complex quantum amplitude for re-absorption of the scattered field. The concept of phase for a quan ...
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... • Short, intense pulses – either the atomic evolution is “free” (no coupling) or dominated by the interaction (internal and external components of Hamiltonian ignored) • π-pulses (timed to transfer atoms in state 1 to be in state 2, & ...
Appendix D Wigner Function Formulation of Gross
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... where we have split up the differential equation into a part which is governed by the single particle linear dynamics (SP), by which we mean the equation is the same as that for a single quantum mechanical particle, and a part which is governed by the nonlinearity (NL). ...
BASIC IDEAS of QUANTUM MECHANICS I. QUANTUM STATES
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... assumption that it is possible to reduce the entire description of a physical system to a specification of its microscopic ”variables”, and the way that these influence each other (ie., ’interact with’ each other). Another name for ’variables’ is ’coordinates’. Both of these terms simply refer to th ...
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Double-slit experiment

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