Quantum Theory and Relativity
... satisfied when one can formulate a theory that encompasses all of physics? For example, special relativity and the notion of Minkowski space-time revolutionized the notion of classical physics. But one might argue that space-time itself cannot remain strictly Minkowskilike at extremely high scales o ...
... satisfied when one can formulate a theory that encompasses all of physics? For example, special relativity and the notion of Minkowski space-time revolutionized the notion of classical physics. But one might argue that space-time itself cannot remain strictly Minkowskilike at extremely high scales o ...
Particles and their decays
... “mother” particle, their invariant mass will be equal to the mass of original particle ...
... “mother” particle, their invariant mass will be equal to the mass of original particle ...
Document
... at the FBZcenter, the electron can be approximately regarded as the plane wave, v is proportional to the k. With the increase of k, it is around the border of the FBZ, and the influence of lattice scattering increase. At the Brillouin zone boundary, a strong Bragg reflection make the scattered wave ...
... at the FBZcenter, the electron can be approximately regarded as the plane wave, v is proportional to the k. With the increase of k, it is around the border of the FBZ, and the influence of lattice scattering increase. At the Brillouin zone boundary, a strong Bragg reflection make the scattered wave ...
REVIEW OF WAVE MECHANICS
... mechanics by the operator Px , what are its eigenfunctions and eigenvalues? The answer of course is that only the de Broglie waves satisfy the eigenvalue equation of Px , and that the corresponding eigenvalues are p x k . Furthermore these eigenvalues are the quantities one measures in an exper ...
... mechanics by the operator Px , what are its eigenfunctions and eigenvalues? The answer of course is that only the de Broglie waves satisfy the eigenvalue equation of Px , and that the corresponding eigenvalues are p x k . Furthermore these eigenvalues are the quantities one measures in an exper ...
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.