[quant-ph/0004090] Path Integral Methods and Applications

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No prior exposure to path integrals is assumed, however. The path integral is a formulation of quantum mechanics equivalent to the standard ... AccessiblearXiv DoyounavigatearXivusingascreenreaderorotherassistivetechnology?Areyouaprofessorwhohelpsstudentsdoso?Wewanttohearfromyou. PleaseconsidersigninguptoshareyourinsightsasweworktomakearXivevenmoreopen. ShareInsights QuantumPhysics arXiv:quant-ph/0004090(quant-ph) [Submittedon24Apr2000] Title:PathIntegralMethodsandApplications Authors:RichardMacKenzie DownloadPDF Abstract:Theselecturesareintendedasanintroductiontothetechniqueofpath integralsandtheirapplicationsinphysics.Theaudienceismainlyfirst-year graduatestudents,anditisassumedthatthereaderhasagoodfoundationin quantummechanics.Nopriorexposuretopathintegralsisassumed,however. Thepathintegralisaformulationofquantummechanicsequivalenttothe standardformulations,offeringanewwayoflookingatthesubjectwhichis, arguably,moreintuitivethantheusualapproaches.Applicationsofpath integralsareasvastasthoseofquantummechanicsitself,includingthe quantummechanicsofasingleparticle,statisticalmechanics,condensedmatter physicsandquantumfieldtheory. Afteranintroductionincludingaverybriefhistoricaloverviewofthe subject,wederiveapathintegralexpressionforthepropagatorinquantum mechanics,includingthefreeparticleandharmonicoscillatorasexamples.We thendiscussavarietyofapplications,includingpathintegralsin multiply-connectedspaces,Euclideanpathintegralsandstatisticalmechanics, perturbationtheoryinquantummechanicsandinquantumfieldtheory,and instantonsviapathintegrals. Forthemostpart,theemphasisisonexplicitcalculationsinthefamiliar settingofquantummechanics,withsomediscussion(oftenbriefandschematic) ofhowtheseideascanbeappliedtomorecomplicatedsituationssuchasfield theory. Comments: 55pages,23figures.LecturesgivenatRencontresduVietnam:VIthVietnamSchoolofPhysics,VungTau,Vietnam,27December1999-8January2000 Subjects: QuantumPhysics(quant-ph);HighEnergyPhysics-Theory(hep-th) Report number: UdeM-GPP-TH-00-71 Citeas: arXiv:quant-ph/0004090   (or arXiv:quant-ph/0004090v1forthisversion)   https://doi.org/10.48550/arXiv.quant-ph/0004090 Focustolearnmore arXiv-issuedDOIviaDataCite SubmissionhistoryFrom:RichardMacKenzie[viewemail] [v1] Mon,24Apr200013:58:03UTC(56KB) Full-textlinks: Download: PDF PostScript Otherformats (license) Currentbrowsecontext:quant-ph new | recent | 0004 References&Citations INSPIREHEP NASAADSGoogleScholar SemanticScholar 2bloglinks(whatisthis?) a exportbibtexcitation Loading... Bibtexformattedcitation × loading... Dataprovidedby: Bookmark BibliographicTools BibliographicandCitationTools BibliographicExplorerToggle BibliographicExplorer(WhatistheExplorer?) LitmapsToggle Litmaps(WhatisLitmaps?) scite.aiToggle sciteSmartCitations(WhatareSmartCitations?) Code&Data CodeandDataAssociatedwiththisArticle arXivLinkstoCodeToggle arXivLinkstoCode&Data(WhatisLinkstoCode&Data?) Demos Demos ReplicateToggle Replicate(WhatisReplicate?) RelatedPapers RecommendersandSearchTools ConnectedPapersToggle ConnectedPapers(WhatisConnectedPapers?) Corerecommendertoggle CORERecommender(WhatisCORE?) AboutarXivLabs arXivLabs:experimentalprojectswithcommunitycollaborators arXivLabsisaframeworkthatallowscollaboratorstodevelopandsharenewarXivfeaturesdirectlyonourwebsite. BothindividualsandorganizationsthatworkwitharXivLabshaveembracedandacceptedourvaluesofopenness,community,excellence,anduserdataprivacy.arXiviscommittedtothesevaluesandonlyworkswithpartnersthatadheretothem. HaveanideaforaprojectthatwilladdvalueforarXiv'scommunity?LearnmoreaboutarXivLabsandhowtogetinvolved. Whichauthorsofthispaperareendorsers?| DisableMathJax(WhatisMathJax?)

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