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classical and
classical and

Get PDF - OSA Publishing
Get PDF - OSA Publishing

Chapter 13 High Harmonic Generation
Chapter 13 High Harmonic Generation

Cosmology from quantum potential
Cosmology from quantum potential

... where the density ρ includes visible and dark matter, and may also include additional densities that arise in massive non-linear theories of gravity [16–18]. The h̄2 terms in Eqs. (1) and (2) represent quantum corrections (the first of these is also known as quantum potential), which vanish in the h ...
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Chapter 11 Observables and Measurements in Quantum Mechanics
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... wavelengths of gamma- and X-rays are on the order of 10-13 to 10-12 meters, 10 to 1000 times greater than the diameters of atomic nuclei, the nuclei are ‘invisible’ to the incoming rays. Wright claims that this same analysis can be related to the ‘wavelength’ of the electric fields of protons and th ...
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Idealization in Quantum Field Theory - Philsci
Idealization in Quantum Field Theory - Philsci

on the interaction of a charged particle beam with electron plasma 87
on the interaction of a charged particle beam with electron plasma 87

Operator methods in quantum mechanics
Operator methods in quantum mechanics

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... and forth between two impenetrable walls separated by L. Classically, it can be modeled as a particle under constant speed.  If the particle’s speed is constant, so are its kinetic energy and its momentum.  Classical physics places no restrictions on these values. Section 41.2 ...
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Elements of Quantum Mechanics and the H Atom

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Quantum Walks in Discrete and Continuous Time

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Quantized quasi-two-dimensional Bose-Einstein condensates with spatially modulated nonlinearity Deng-Shan Wang, Xing-Hua Hu,

... energy levels of the atoms are only associated with the principal quantum number n. These are similar to energy level distribution of the energy eigenvalue problem for the linear harmonic oscillator described by linear Schrödinger equation. Stability analysis. Stability of exact solutions with resp ...
Inequalities for means of chords, with application to isoperimetric
Inequalities for means of chords, with application to isoperimetric

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PDF

Teacher guide Teacher guide: Turning Points in Physics
Teacher guide Teacher guide: Turning Points in Physics

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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.
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