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gauge-like variables for ordered media containing defects - HAL
gauge-like variables for ordered media containing defects - HAL

Comparison of electromagnetic and gravitational radiation: What we
Comparison of electromagnetic and gravitational radiation: What we

... The definition in Eq. (9) is valid even in the presence of sources. In that case the right hand side has the familiar value 4πG times mass density. This equation, then, is analogous to Coulomb’s law for electromagnetism. It gives a definition of the field in terms of its sources, but only for a stat ...
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What is Control of Turbulence in Crossed Vortexes! Dimitri Volchenkov
What is Control of Turbulence in Crossed Vortexes! Dimitri Volchenkov

... together with charged particles, the wall blanket of the containment chamber, and degrading its structure. The reliable confinement (or control) of very energetic particles is one of the crucial problems arisen in course of the fusion project. Despite lasting efforts, the strategy of effective plasm ...
Effective Field Theories
Effective Field Theories

... (QED). In lowest order perturbation theory we have the corresponding Feynman diagram (fig. 1 (left)) from which the scattering cross section for this process can be calculated. If we are now considering higher orders in perturbation theory we find loop diagrams (fig.1 (right)). If one wants to calcu ...
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... the stirrer. We have handled such problems earlier. Take a small segment of the charge on the stirrer and calculate the electric force due to the line charge on this charge segment Δq. A summation of all such forces on the charge segments Δq will yield the net force on the stirrer. This procedure is ...
The Strong Force and the Internal Structure of Neutrons and Protons
The Strong Force and the Internal Structure of Neutrons and Protons

... FIGURE 2.32 Mass from nothing. Left: In QCD a quark’s mass depends on its momentum (in this case it is the magnitude of the “four-momentum,” combined momentum and energy). Numerical simulations of lattice QCD (data, at three different bare masses) have confirmed model predictions (solid curves) that ...
The Need for Quantum Mechanics in Materials Science
The Need for Quantum Mechanics in Materials Science

Line shapes - Center for Ultracold Atoms
Line shapes - Center for Ultracold Atoms

... passing through one of the OFs (oscillating fields). All interference terms (which must involve T ) are contained in the second term. The quantity δωT is the phase difference accumulated by the spin in the field-free region relative to the OF in the first OF region. If the phase in the second OF reg ...
Shining Light on Modifications of Gravity
Shining Light on Modifications of Gravity

... The second term in equation (1.1) is the disformal term. On its own, when A ≡ const, this term is not problematic for fifth force experiments because as we will see a scalar field that couples to matter in this way is not sourced by a static non-relativistic mass distribution. All of the objects use ...
AP PHYSICS 2 E03
AP PHYSICS 2 E03

... ignoring changes in internal structure) to analyze a situation. Then, when the model fails, justify the use of conservation of energy principles to calculate the change in internal energy due to changes in internal structure because the object is actually a system. [LO 5.B.2.1, SP 1.4, SP 2.1] 9. TS ...
R.H. Austin, N. Darnton, R. Huang, J.C. Sturm, O. Bakajin, and T. Duke, "Ratchets: the problem with boundary conditions in insulating fluids," Appl. Phys. A 75, pp. 279-284 (2002).
R.H. Austin, N. Darnton, R. Huang, J.C. Sturm, O. Bakajin, and T. Duke, "Ratchets: the problem with boundary conditions in insulating fluids," Appl. Phys. A 75, pp. 279-284 (2002).

... in which case there is a good probability that the particle will move to the right. This can be viewed as a ratchet: the particle moves consistently to the right under the influence of a field pointing straight down. It violates no laws of thermodynamics because (i) it is a system not in thermal equ ...
SIMULATION OF TONER PARTICLE MOTION UNDER DYNAMIC
SIMULATION OF TONER PARTICLE MOTION UNDER DYNAMIC

... • the magnitude of the electrode voltages, considering both dc and ac potentials. Design constraints are mainly determined by the desired printing quality and speed, but also by paper thickness and toner characteristics. The electrode voltages are limited by the dielectric properties of the print-h ...
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The Zeta Potential - Colloidal Dynamics
The Zeta Potential - Colloidal Dynamics

... It turns out, however, that in such an experiment one does not usually observe all of the particle charge. The electric field pulls the particle in one direction but it will also be pulling the counterions in the opposite direction. Some of the counterions will move with the particle (those within t ...
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... conservation of energy and momentum appears to be violated, because W boson appears during an intermediate stage of the process, even though there isn’t enough energy to create such massive particle. How can we explain it? ...
Influence of magnetic fields on cold collisions of polar molecules
Influence of magnetic fields on cold collisions of polar molecules

... where ⑀ = + 共⫺兲 represents the e 共f兲 state, and ⍀ = 兩⍀兩. It should be noted that the sign of ⑀ is not the parity, rather the parity is equal to ⑀共−1兲共J−1/2兲 关14兴. Thus for the ground state of OH where J = 3 / 2, the parity is equal to −⑀. Throughout the paper we use ⫾ to denote the sign of ⑀, not pa ...
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QCD --- Quantum Chromodynamics

... due to gluon self-interactions Colour charge of gluons contributes to effective colour charge of quark Î Anti-screening of colour charge Colour charge increases with distance Nuclear and Particle Physics ...
Invariance Principles and Conservation Laws
Invariance Principles and Conservation Laws

... •  Does an underlying long range field lead to this? –  Equivalency of gravitational and intertial mass established at the 10-12 level –  Since the nuclear binding energy differs with nuclei, the ratio of mass to number of nucleons is not constant, providing a potential source   for a difference bet ...
25. REASONING AND SOLUTION The electric field lines must
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... same, however. The field created by a positive charge points away from the charge, while the field created by a negative charge points toward the charge. SOLUTION The drawing at the right shows each of the field contributions at the center of the square (see black dot). Each is directed along a diag ...
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... • This leads to the Standard Model • The six quarks that are the building blocks of strongly interacting matter have six equivalent particles that are responsible for the weak interaction. • These are the three lepton families: –  lepton and  neutrino – μ lepton and μ neutrino – electron and e- ne ...
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Inertial Mass and Gravitational Mass - What They Are and

Answers
Answers

... The textbook gets into some very mathematical analyses of bubble chamber photographs. You will not have to do this on the exam. Instead, answer the following; 1) Sketch a kaon-proton interaction from Figure 4, page 715 and explain how charge and momentum are conserved at each point. Include paths o ...
From Path Integrals to Fractional Quantum Statistics
From Path Integrals to Fractional Quantum Statistics

... However, in the path integral formulation, we are adding up amplitudes from all histories, connected or not. If we use our the “gauge-invariance” of the classical Lagrangian to manipulate the value of the action on these disconnected components, we will get varying results from our path integrals. T ...
Simple Neutron Star Model
Simple Neutron Star Model

... Description of hadrons in QCD is very complex. Can be modeled by giving the quark vacuum extra energy BV , with B the Bag constant. The energy density ρ = ρf + B , with ρf the energy density of free quarks, and the pressure ∂E P=− = Pf − B . ∂V ...
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Mathematical formulation of the Standard Model

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