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Exam #: Printed Name: Signature: PHYSICS DEPARTMENT
Exam #: Printed Name: Signature: PHYSICS DEPARTMENT

... (a) Obtain the Lagrangian for this constrained motion. For definiteness, start from spherical polar coordinates with the z-axis parallel to the gravitational field. (b) Derive the Hamiltonian function H using the same coordinates as in (a). (c) Calculate the total energy E of the particle. Is E = H? ...
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... So what are we to make of this? We have a theory with an infinite number of symmetries, one for each function λ(x). Previously we only encountered symmetries which act the same at all points in spacetime, for example ψ → eiα ψ for a complex scalar field. Noether’s theorem told us that these symmetr ...
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Particle Physics

... are the generators of the SU(2) symmetry, i.e the three Pauli spin matrices 3 Gauge Bosons  The wave-functions have two components which, in analogy with isospin, are represented by “weak isospin”  The fermions are placed in isospin doublets and the local phase transformation corresponds to  Weak ...
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... • Spectral function of the unparticle has very unusual behavior! Because of the conformal invariance in the unparticle sector, unparticle propagator and the phase space are completely different from the usual scalar case, especially, its momentum dependence goes: 1/(p2)2-d (d: dimension of the unpar ...
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... The prototype candidate was a new interaction similar to QCD (“Technicolor”) with new particles at O(few TeV). The simplest of these models would however produce deviations from the SM that are not seen, but many more complex variants exist. These models give new quarks, bosons, ‘leptoquarks’, etc. ...
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Terrestrial Energy Frontier: TEVATRON Searches for Higgs and Supersymmetry

... Separate piece of SM introduced “by hand” Mass ↔ Rest energy If we make particle interact with vacuum it will acquire additional energy → MASS In the Standard Model the vacuum is “skewed” by the Higgs field, and particles get mass from interaction with the Higgs field ...
Spring 2007 Colloquium Series Physics Department University of Oregon 4:00pm Thursdays, 100 Willamette
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... investigated for the first time at the Relativistic Heavy Ion Collider (RHIC) at Brookhaven National Laboratory and will soon be investigated at the Large Hadron Collider at CERN. These collisions heat nuclear matter to energy densities previously reached only within the first few microseconds after ...
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Physics on the Move

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numerical evidence of the haldane conjecture

... in a local magnetic field (Wang, Lauwers-Rittenberg). After testing their performances, we chose the Wang method.  Our algorithm satisfies the detailed balance property.  The Fortuin-Kasteleyn clusters were created by using the HoshenKopelman procedure.  The initial random vector was generated by ...
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... • The strong nuclear force is the mediator in the atom which keeps the protons and neutrons together. • Gluon exchange is the mechanism that keeps the subatomic particles inside the proton and neutrons ‘glued’ together. • The result of this exchange to the strong nuclear force is that the internal p ...
March: I`ve got two worlds on a string
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... – The subject line of each message should be the same as the name of the solution file. – The deadline for submitting the solutions is the last day of the corresponding month. – Each month, a representative selection of the successful solvers’ names will be published in print and on the web. – ...
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Field Theory and Standard Model

... areas of research in particle physics: • The gauge group is composed of three subgroups with different properties: – The SU(3) part leads to quantum chromodynamics, the theory of strong interactions [5]. Here the most important phenomena are asymptotic freedom and confinement: The quarks and gluons ap ...
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... which studies the nature of particles that are the constituents of what is usually referred to as matter and radiation. In current understanding, particles are excitations of quantum fields and interact following their dynamics. Although the word "particle" can be used in reference to many objects ( ...
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... We show how microfluidics can be used in combination with AC electric fields to assemble flexible chains of colloids [1] with full control over the sequence of particles on the single particle level. Our goal is to experimentally observe and control the self-folding of colloidal chains [2]. In analo ...
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... High-priority large-scale scientific activities Recommendation #1 c) The discovery of the Higgs boson is the start of a major programme of work to measure this particle’s properties with the highest possible precision for testing the validity of the Standard Model and to search for further new phys ...
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... Also was first direct confirmation of inverse square law: G is the constant of proportionality. ...
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... electroweak interaction (Glashow, Weinberg and Salam: Nobel Prize) CP violation => One of the basic ingredient why we are here in the Universe , explain why there is more matter than anti-matter in our universe (Sahkarov, 1966). The discovery of the Kobayashi-Maskawa (1973) model of the Standard Mod ...
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Some Problems in String Cosmology

... electroweak interaction (Glashow, Weinberg and Salam: Nobel Prize) CP violation => One of the basic ingredient why we are here in the Universe , explain why there is more matter than anti-matter in our universe (Sahkarov, 1966). The discovery of the Kobayashi-Maskawa (1973) model of the Standard Mod ...
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Mathematical formulation of the Standard Model

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