Challenging Modern Physics
... cloud, i.e., something of a continuum of fractal structure. Hence, from a scale of 1024 m to 10-8 m, the nature has presented itself as a fractal continuum. It is reasonable to extrapolate downward to even smaller scales like 10-10 m that the nature should possess the same statistically self-similar ...
... cloud, i.e., something of a continuum of fractal structure. Hence, from a scale of 1024 m to 10-8 m, the nature has presented itself as a fractal continuum. It is reasonable to extrapolate downward to even smaller scales like 10-10 m that the nature should possess the same statistically self-similar ...
Localization and the Semiclassical Limit in Quantum Field Theories
... dynamical evolution can be also recovered from the quantized bosonic fields in the limit ~ → 0. An important problem here is to identify appropriate localized states and position operators in the context of relativistic quantum mechanics. This question was analyzed and answered in a classical work b ...
... dynamical evolution can be also recovered from the quantized bosonic fields in the limit ~ → 0. An important problem here is to identify appropriate localized states and position operators in the context of relativistic quantum mechanics. This question was analyzed and answered in a classical work b ...
Periodic Table of Particles/Forces in the Standard Model
... Particles and anti-particles: For each particle, there is anti-particle with the same mass/spin and opposite quantum numbers like charge (electric, color, etc.), magnetic moment, etc. For photon , Z, and H, an anti-particle is the same as a particle. Same can be true for neutrinos, but we do not yet ...
... Particles and anti-particles: For each particle, there is anti-particle with the same mass/spin and opposite quantum numbers like charge (electric, color, etc.), magnetic moment, etc. For photon , Z, and H, an anti-particle is the same as a particle. Same can be true for neutrinos, but we do not yet ...
Jim Greer
... Interactions between localized molecular bound states and a continuum of states such as occurring for molecules bonded between electrodes in nanoscale tunnel junctions can be modeled by using an (energy-dependent) self-energy, or approximately through use of a complex potential. We discuss the relat ...
... Interactions between localized molecular bound states and a continuum of states such as occurring for molecules bonded between electrodes in nanoscale tunnel junctions can be modeled by using an (energy-dependent) self-energy, or approximately through use of a complex potential. We discuss the relat ...
Atomic Structure and the Periodic Table Atomic Structure and the
... Atomic Structure and the Periodic Table long suspected Electricity and Chemistry related Quantum (wave) Mechanics - provides basis electron (a particle) has a wavelength (De Broglie) allowed stated ⇒ fundamental (resonance) frequencies determines Elements and their Periodic Properties ...
... Atomic Structure and the Periodic Table long suspected Electricity and Chemistry related Quantum (wave) Mechanics - provides basis electron (a particle) has a wavelength (De Broglie) allowed stated ⇒ fundamental (resonance) frequencies determines Elements and their Periodic Properties ...
The renormalization of the energy-momentum tensor for an effective initial... Hael Collins R. Holman *
... background, has a rather peculiar consequence if we continue to look yet further back in time. To fit all of the observed universe within a single causally connected region at some point during inflation typically requires that, subsequent to that time, the universe should expand by at least a facto ...
... background, has a rather peculiar consequence if we continue to look yet further back in time. To fit all of the observed universe within a single causally connected region at some point during inflation typically requires that, subsequent to that time, the universe should expand by at least a facto ...
e - Colutron
... electron falls in to a closer orbit, potential energy is lost to radiation. The amount of energy escaped, in the form of radiation equals the energy difference between the orbits. In the diagram the calculated wavelengths of the radiation liberated are listed next to each arrow. The spectrum of wave ...
... electron falls in to a closer orbit, potential energy is lost to radiation. The amount of energy escaped, in the form of radiation equals the energy difference between the orbits. In the diagram the calculated wavelengths of the radiation liberated are listed next to each arrow. The spectrum of wave ...
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.