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Symmetry Principles and Conservation Laws in Atomic and ...

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GENERAL ARTICLEBeams of protons were successfully circulated <strong>in</strong> bothdirections about the LHC <strong>in</strong> September 2008. Unfortunatelyshortly afterward a fault <strong>in</strong> one of the 1232superconduct<strong>in</strong>g dipole magnets led to signi¯cant damage<strong>in</strong> one part of the accelerator. Repairs <strong>and</strong> implementationof additional safeguards has taken just over ayear, lead<strong>in</strong>g to collid<strong>in</strong>g beams restart<strong>in</strong>g successfully<strong>in</strong> December 2009. In March 2010 a new world recordcollision energy of 7 TeV was achieved. The LHC willrun at this energy until late 2011, before upgrades tothe accelerator will allow collisions at 14 TeV.With<strong>in</strong> the next fiveyears the LHC willeither confirm theHiggs mechanism orshed light on analternative model ofmass generation.3. ConclusionsThis article (Parts 1 <strong>and</strong> 2) presents a pedagogical summaryof the importance of symmetry pr<strong>in</strong>ciples <strong>in</strong> describ<strong>in</strong>gmany aspects of physical theories, <strong>in</strong> particularthose related to atomic, particle <strong>and</strong> nuclear physics.The cont<strong>in</strong>uous symmetries <strong>in</strong> classical mechanics thatlead to conservation of momentum, angular momentum<strong>and</strong> other quantities such as the Laplace{Runge{Lenzvector, were the start<strong>in</strong>g po<strong>in</strong>t. Then discrete symmetriesP, C <strong>and</strong> T were discussed, along with how their violationis embedded with<strong>in</strong> the st<strong>and</strong>ard model of particlephysics. The particular importance of the comb<strong>in</strong>edoperation of C <strong>and</strong> P was emphasised as it maps matter<strong>in</strong>to antimatter. P <strong>and</strong> T violat<strong>in</strong>g phenomena <strong>in</strong> atomicphysics were discussed as the study of these are at theheart of some of the most excit<strong>in</strong>g current atomic physicsresearch. F<strong>in</strong>ally, spontaneous symmetry break<strong>in</strong>g <strong>and</strong>the search for this phenomenon <strong>in</strong> particle physics atthe Large Hadron Collider was discussed. We hope thereader is left with a sense of the importance of symmetry<strong>and</strong> the many areas <strong>in</strong> which it is signi¯cant.Suggested Read<strong>in</strong>g[1] Details of Lee <strong>and</strong> Yang’s 1957 Nobel Prize can be found athttp:nobelprize.org/nobel\_prizes/physics/laureates/1957/<strong>in</strong>dex.htmlRESONANCE October 2010939

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