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Quantum Field Theories in Curved Spacetime - Unitn
Quantum Field Theories in Curved Spacetime - Unitn

... Kruskal spacetime (the result applies also to any globally hyperbolic spacetimes containing the structure of bifurcate Killing horizon generated by a global Killing field B as in Minkowski spacetime). Suppose that a state ω exists which is invariant under the one-parameter group of isometries associ ...
classical / quantum theory of 2-dimensional hydrogen
classical / quantum theory of 2-dimensional hydrogen

... we must, in short, exclude precisely the representations which distinguish SU (2) from O(3). The classical/quantum physics of 2 -dimensional hydrogen would be brought thus back again into agreement.13 But what principle serves to enforce such an exclusion? Exclusion of algebraically predicted states ...
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Chapter 3. Basic Instrumentation for Nuclear Technology
Chapter 3. Basic Instrumentation for Nuclear Technology

... X-rays are emitted. This is used to produce X-rays in hospitals but it is also a source of hazardous radiations in accelerators. • Bremsstrahlung is similar to synchrotron radiation that will be discussed later today. Image source: http://www.ndt-ed.org/EducationResources/ ...
A Weak Gravity Conjecture for Scalar Field Theories
A Weak Gravity Conjecture for Scalar Field Theories

Further Quantum Mechanics: Problem Set 2. Trinity term weeks 1 – 2
Further Quantum Mechanics: Problem Set 2. Trinity term weeks 1 – 2

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De Broglie Wavelets versus Schrodinger Wave Functions

... line shape with expanding $(t). In addition, the interference fringes emerge which are represented by the cosine term with a time dependent phase @(t) given by ’tia,xt/[2mo(L4+t2%’/4rn~)]. At a very short time t << 2m,L2/%,the intensity of fringes is very weak and the phase @(t) = ha,xt/2m,L4 corres ...
Equality and Identity and (In)distinguishability in Classical and Quantum Mechanics from the Point of View of Newton's Notion of State
Equality and Identity and (In)distinguishability in Classical and Quantum Mechanics from the Point of View of Newton's Notion of State

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The Gutzwiller Density Functional Theory - cond

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Bell`s Inequality - weylmann.com

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... Standard quantum mechanics presupposes the existence of an externally defined classical variable called t. The other variables, x play a very different role and are represented by operators. This is clearly an approximation that requires the existence of a classical clock external to the system, and ...
From Maxwell to Higgs - James Clerk Maxwell Foundation
From Maxwell to Higgs - James Clerk Maxwell Foundation

... the relativistic quantum mechanical spin states as a result, corresponding to description of the electron and predicted the classical polarization directions. We the existence of its anti-particle, the would describe it has having two degrees positron. Processes, such as the scattering of freedom. A ...
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... straight line - bombard an extemal target. A strong vertical magnetic field bends the path of the particles obliging them to follow the wanted helical trajectory and at each tum an oscillating electric field adds sorne energy to the circulating protons or ions. The magnet of a cyclotron has to cover ...
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... The Schur basis on d-dimensional quantum systems is a generalization of the total angular momentum basis that is useful for exploiting symmetry under permutations or collective unitary rotations. It is useful for many tasks in quantum information theory, but so far its algorithmic applications have ...
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... As we shall see, Dirac wavefunction describes a particle pf spin-1/2. χ1 , χ2 represent spin-up and spin-down respectively with E = mc2 . χ3 , χ4 represent spin-up and spin-down respectively with E = −mc2 . As in Klein-Gordon equation, we have negative solutions and they can not be discarded. For ul ...
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Lecture 5 Motion of a charged particle in a magnetic field

... What is effect of a static electromagnetic field on a charged particle? Classically, in electric and magnetic field, particles experience a Lorentz force: F = q (E + v × B) q denotes charge (notation: q = −e for electron). Velocity-dependent force qv × B very different from that derived from scalar ...
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arXiv:hep-th/0006105v1 15 Jun 2000 Quotient Construction of `t

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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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