[Grosche] SecII - Stony Brook Mathematics
... Supersymmetric quantum mechanics provides a very convenient way of classifying exactly solvable models in usual quantum mechanics, and a systematic way of addressing the problem of finding all exactly solvable potentials [56]. By e.g. Dutt et al. [16, 29] it was shown that there are a total of twelv ...
... Supersymmetric quantum mechanics provides a very convenient way of classifying exactly solvable models in usual quantum mechanics, and a systematic way of addressing the problem of finding all exactly solvable potentials [56]. By e.g. Dutt et al. [16, 29] it was shown that there are a total of twelv ...
"Electronic Spectroscopy and Energy Transfer in Cadmium Selenide Quantum Dots and Conjugated Oligomers"
... The electronic excited state kinetics of CdSe quantum dots (QD) are studied through optical spectroscopy, by subjecting the quantum dots to different experimental conditions, as well as coupling them to phenylene-ethynylene oligomers. CdSe QDs feature a quantum-confined exciton state which pursues a ...
... The electronic excited state kinetics of CdSe quantum dots (QD) are studied through optical spectroscopy, by subjecting the quantum dots to different experimental conditions, as well as coupling them to phenylene-ethynylene oligomers. CdSe QDs feature a quantum-confined exciton state which pursues a ...
Time dependent entanglement features, and other quantum information aspects,
... an attempt to show that quantum mechanics was an incomplete theory [8]. Nowadays, entanglement is seen as a fundamental phenomenon that lies at the heart of our understanding of quantum physics. It also constitutes a valuable resource for implementing information-related tasks. Building quantum inf ...
... an attempt to show that quantum mechanics was an incomplete theory [8]. Nowadays, entanglement is seen as a fundamental phenomenon that lies at the heart of our understanding of quantum physics. It also constitutes a valuable resource for implementing information-related tasks. Building quantum inf ...
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.