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PHYSICS 430 Lecture Notes on Quantum Mechanics

(C) ,thephotoelectriceffect, :the double-slit , wave , <x>andUncertainty , , zerouncertainty ; , , ,resonance, ; ,Symmetry, , ; , ; ,Fermions, , ,harmonic,and sudden nearlyclassical ,squarewell, paradox .Fasterthanlight?Bell s guidingwaves . consistenthistories seffect, , :Chapters19and20remaintobewritten, , ,itwasdiscoveredthatthelawsofmotionformu latedbyGalileo,Newton,Lagrange,Hamilton, Maxwell,andmanyothers,wereinadequatetoex plainawiderangeofphenomenainvolvingelect rons,atoms, ,anewtheory(togetherwithanewlawofmotion) ,anditisnowthebasicframeworkforunderstan dingatomic,nuclear,andsubnuclearphysics, aswellascondensed-matter(or solid-state ) (duetoGalileo,Newton,..) , ,whoseformulationbegins(butdoesnotend!)w ithNewton slawF= ,F=ma, ,orperhapsafewseconds, ,asafunctionoftime,asx(t); ,thenanytrajectoryhastheformofaparabola( inauniformgravitationalfield,neglectinga irresistance), ,ifwerequirethatthebaseballreturnstoyour handexactly tsecondsafterleavingyourhand, ,butwewouldliketodevelopamethodwhichcanb eappliedtoaparticlemovinginanypotentialf ieldV(x).

8 CHAPTER 1. THE CLASSICAL STATE this trajectory exactly, but we would like to develop a method which can be applied to a particle moving in any potential field V(x). So let us begin with Newton’s law F = ma, which is actually a second-order differential equation m …

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