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Aalborg Universitet Zero Point Energy and the Dirac Equation Forouzbakhsh, Farshid
Aalborg Universitet Zero Point Energy and the Dirac Equation Forouzbakhsh, Farshid

Contents - UMD Physics
Contents - UMD Physics

Mixing Transformations in Quantum Field Theory and Neutrino
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... the Hamiltonian for this system and solve the Schrödinger equation associated with it. However, the Hamiltonian typically contains, besides the sums of single-particle kinetic energy and static potential, the interaction between pairs of particles. This makes the partial differential equation of ma ...
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... 12. The diagram above right shows a loud speaker. The speaker consists of several parts: a strong permanent magnet in the shape of a letter “E” with two south poles at the top and bottom and a north pole in the middle, as shown, and a voice coil attached to the paper speaker cone. The voice coil is ...
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... phenomenological way, to provide an overview and intuitive grasp of the subject. The framework of quantum field theory with a quantization of the electromagnetic field should however be used for a consistent treatment and a logical development of the theory of polarized radiative transfer in a magne ...
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... Useful information can be obtained on the Web page for the course and MolData, an annotated bibliography of reliable databases on the WWW. The links to these and other pages maintained by the instructor can be found at http://pages.pomona.edu/~wsteinmetz. The schedule of the topics to be covered in ...
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... The CFT is UV complete (there is a continuum limit), since there is no problem following the flow (or lack thereof) as far as we please into the UV or IR. There is a parameter called the central charge of the CFT, denoted c, which counts degrees of freedom. For example, c = N for a theory of N uncou ...
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... theoretical considerations. This theory will be done after a presentation of the single-particle Hamiltonian that governs the energy of free, noninteracting electrons in an external magnetic field, uniform in space (§2). Such a system shows a typical quantum mechanical behaviour, with discrete energ ...
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... One reason why we think it is worthwhile to explore the hypothesis that, say, an electron is moving along a trajectory under the influence of the quantum potential is that in this approach many of the well-known paradoxes and ambiguities of quantum theory can be resolved (Bohm and Hiley 1993). The se ...
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Bloch Oscillations

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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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