An information-theoretic perspective on the foundations of
... QM has been constructed. Unlike other fundamental theories like special relativity, the postulates of QM are purely mathematical, involving complex vectors in a Hilbert space [29,25]. In special relativity, physical constraints like the speed oflight, and philosophically satisfying principles like i ...
... QM has been constructed. Unlike other fundamental theories like special relativity, the postulates of QM are purely mathematical, involving complex vectors in a Hilbert space [29,25]. In special relativity, physical constraints like the speed oflight, and philosophically satisfying principles like i ...
Relativistic lagrangian non-linear field theories supporting non-topological soliton solutions UNIVERSIDAD DE OVIEDO
... existence of soliton entities which can be identified (if present) in field configurations and are preserved by the dynamic evolution of the system. With this definition, the analysis of such configurations in terms of many solitons, interacting via radiative field exchanges, becomes possible. This ...
... existence of soliton entities which can be identified (if present) in field configurations and are preserved by the dynamic evolution of the system. With this definition, the analysis of such configurations in terms of many solitons, interacting via radiative field exchanges, becomes possible. This ...
Lecture Notes in Quantum Mechanics Doron Cohen
... [4] A. Messiah, Quantum Mechanics. [for the graduates] The major attempt in this set of lectures was to give a self contained presentation of quantum mechanics, which is not based on the historical ”quantization” approach. The main inspiration comes from Ref.[3] and Ref.[1]. The challenge was to fin ...
... [4] A. Messiah, Quantum Mechanics. [for the graduates] The major attempt in this set of lectures was to give a self contained presentation of quantum mechanics, which is not based on the historical ”quantization” approach. The main inspiration comes from Ref.[3] and Ref.[1]. The challenge was to fin ...
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.