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HW 2 solutions
HW 2 solutions

... where Sn is the component of the spin along the axis n̂. Now, recall from last quarter (or whenever you learned about spin) that we can diagolize any component of the spin that we want; in particular, we can diagonalize the component of the spin along any axis whatsoever, not just the x, y, z axes. ...
(Total Four Semesters, 100 marks in each Paper followed by
(Total Four Semesters, 100 marks in each Paper followed by

The gauge non-invariance of Classical Electromagnetism
The gauge non-invariance of Classical Electromagnetism

... cylindrical geometry (two horizontal plates with opposite surface currents for example, analogous to a plane Couette flow [14]), one of the Landau gauges A2 or A3 must be used instead of the symmetric gauge A1 according to the necessity of respecting the underlying distribution/symmetry of the curre ...
9. Best Explanation Examples
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... be given of their origin. We might invent fanciful scenarios just to drive home that there is no real choice. Lipton (2004, p. 56) shows how it is done: Of course, there is always more than one possible explanation for any phenomenon–the tracks might have instead been caused by a trained monkey on s ...
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... catalysis effects and the temperature dependence of the deconfinement temperature. Although these computations are still not confirmed by experiments, they are generally regarded as reliable, since they make no additional assumptions other than the QCD Lagrangian. The other method, the one we will b ...
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Precision measurements

... • Precision measurements might give first discovery of new BSM interactions Case 2: LHC discovers light new particles (can be seen at the ILC) • SUSY: ILC will probe the new particles in detail; may discover more. • Dark Matter: ILC will address the question of whether any of the new discovered part ...
The potential energy outside the nucleus is
The potential energy outside the nucleus is

... For a hollow spherical shell, the calculation becomes much simpler. Retracing our steps we see that inside the shell the total charge is zero. Hence, from Gauss’ law, the electric field is zero and the potential is constant. The potential inside the shell is equal to the potential on the surface of ...
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... than they ought to be. A good deal of insight into the nature of science, especially into the interplay between theory and experiment, may be obtained from a study of these transition periods. This point may be illustrated immediately by briefly sketching Einstein's arguments for his light· quantum ...
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Electrodynamics of Moving Particles

Unparticle_Dark_Matter_(GUT07)
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... second law. There are two other formulations of classical mechanics, which are equivalent to the Newtonian formulation, namely the Lagrangian and Hamiltonian formulations. In the Newtonian formulation, the concept of force is essential, while in the other formulations, the concept of energy is essen ...
188. Strong Electric Field Effect on Weak Localization
188. Strong Electric Field Effect on Weak Localization

... electric field and is usually calculated by studying the energy transport equation [22, 26]. However, we are interested in this paper in the weak localization problem, which is represented by the last two terms in (2•13) not directly related to T e. Therefore, we leave the discussion of the energy t ...
In search of symmetry lost
In search of symmetry lost

... wonderfully successful theory of the electroweak interaction was formulated1–4. Central to that theory is the concept of spontaneously broken gauge symmetry5,6. According to this concept, the fundamental equations of physics have more symmetry than the actual physical world does. Although its specif ...
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The renormalization of the energy-momentum tensor for an effective initial... Hael Collins R. Holman *
The renormalization of the energy-momentum tensor for an effective initial... Hael Collins R. Holman *

... replaced by another principle at a fundamental energy scale, M. Each of these examples—which require making some explicit assumption about the physics at this scale — do in fact produce corrections to long-distance measurements that are only suppressed by E=M. Compared with these specific cases, the ...
Graviton physics - ScholarWorks@UMass Amherst
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... The calculation of photon interactions with matter is a staple in an introductory (or advanced) quantum mechanics course. Indeed the evaluation of the Compton scattering cross section is a standard exercise in relativistic quantum mechanics, since gauge invariance together with the masslessness of t ...
courses in part ii of the mathematical tripos
courses in part ii of the mathematical tripos

... This course is a continuation in both style and content of Part IB Complex Methods. It will appeal to anyone who enjoyed that course. The material is classical — much of it can be found in Whittaker and Watson’s ‘Modern Analysis’, written in 1912. The passage of time has not diminished the beauty of ...
Quantum Theory of Radiation
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Yang–Mills theory

Yang–Mills theory is a gauge theory based on the SU(N) group, or more generally any compact, semi-simple Lie group. Yang–Mills theory seeks to describe the behavior of elementary particles using these non-Abelian Lie groups and is at the core of the unification of the electromagnetic and weak forces (i.e. U(1) × SU(2)) as well as quantum chromodynamics, the theory of the strong force (based on SU(3)). Thus it forms the basis of our understanding of particle physics, the Standard Model.
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