Semiclassical Correlation in Density
... • Semiclassical methods capture zero-point energy, interference, tunneling (to some extent), all just from running classical trajectories. • Rigorous semiclassical methods are exact to O(h) • Phase-space integral done by Monte-Carlo, but oscillatory nature can be horrible to converge without filter ...
... • Semiclassical methods capture zero-point energy, interference, tunneling (to some extent), all just from running classical trajectories. • Rigorous semiclassical methods are exact to O(h) • Phase-space integral done by Monte-Carlo, but oscillatory nature can be horrible to converge without filter ...
Thomson scattering: - Ira-Inaf
... The main cause of the acceleration of the particle will be due to the electric field component of the incident wave. The particle will move in the direction of the oscillating electric field, resulting in electromagnetic dipole radiation. The moving particle radiates most strongly in a direction pe ...
... The main cause of the acceleration of the particle will be due to the electric field component of the incident wave. The particle will move in the direction of the oscillating electric field, resulting in electromagnetic dipole radiation. The moving particle radiates most strongly in a direction pe ...
... Similar dependencies of the two electron energies on the distance between vertically coupled one-dimensional rings are presented in Fig. 2 for ring radii 1a0 ∗ and 5a0 ∗. One can observe that the spectrum of the system substantially transforms to one, typical for a pair of uncoupled rigid rotors des ...
The Weirdness of Quantum Mechanics
... Interesting facts about the wavefunction: 1. The wavefunction can be positive, negative, or complex-valued. 2. The squared amplitude of the wavefunction at position x is equal to the probability of observing the particle at position x. 3. The wave function can change with time. 4. The existence of a ...
... Interesting facts about the wavefunction: 1. The wavefunction can be positive, negative, or complex-valued. 2. The squared amplitude of the wavefunction at position x is equal to the probability of observing the particle at position x. 3. The wave function can change with time. 4. The existence of a ...
Document
... (electrons, neutrons, atoms, molecules,…) behaves like a wave and energy (= radiation: light, x-rays, g,...) behaves like a particle. Quantum theory does not give us an intuitive picture of the fundamental nature of the universe. Very small particles do not behave in a way that is familiar to us bas ...
... (electrons, neutrons, atoms, molecules,…) behaves like a wave and energy (= radiation: light, x-rays, g,...) behaves like a particle. Quantum theory does not give us an intuitive picture of the fundamental nature of the universe. Very small particles do not behave in a way that is familiar to us bas ...
5. Chern-Simons Theories
... is that, in both Lorentzian and Euclidean signature, the term in the path integral takes the form eiSCS /~ . This will be important in what follows. 5.1.3 Quantisation of the Chern-Simons level We’re now in a position to understand the quantisation of the Chern-Simons level k in (5.6). As advertised ...
... is that, in both Lorentzian and Euclidean signature, the term in the path integral takes the form eiSCS /~ . This will be important in what follows. 5.1.3 Quantisation of the Chern-Simons level We’re now in a position to understand the quantisation of the Chern-Simons level k in (5.6). As advertised ...
Experiments
... Compton scattering Pair production (dominates at energies > few MeV) Contributions to photon interaction cross section for lead including photoelectric effect (), rayleigh scattering (coh), Compton scattering (incoh), photonuclear absorbtion (ph,n), pair production off nucleus (Kn), and pair pro ...
... Compton scattering Pair production (dominates at energies > few MeV) Contributions to photon interaction cross section for lead including photoelectric effect (), rayleigh scattering (coh), Compton scattering (incoh), photonuclear absorbtion (ph,n), pair production off nucleus (Kn), and pair pro ...
Renormalization
In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill defined. To define them, this continuum limit, the removal of the ""construction scaffolding"" of lattices at various scales, has to be taken carefully, as detailed below.Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through ""effective"" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each.