Mathematical Methods and Quantum Mechanics

Mathematical Methods and Quantum MechanicsPHY 321 2.0

Dr S. Jayawardhana StructureFirst 7-8 weeks Quantum Mechanics- Dr S. Jayawardhana

Next 7-8 weeks Mathematical Methods- Dr N. G. S. Shantha Total 30 lecture hours

Medium of InstructionEnglishSome extra explanations in Sinhala

Examination paper in English Only

Structure~ 15 lecture hoursTutorial Spot test -110%Spot test -210%Final exam80%100%Quantum MechanicsSyllabus OutlineInadequacy of classical mechanicsWave particle dualityHeisenberg uncertainty principleSchrodinger equationCorrespondence principleCopenhagen interpretationBorn interpretationConservation of probability & probability currentEigen values & eigen functionsOperators and observablesApplications of Time independent Schrodinger equationHydrogen atomReferencesDocumentary Fabric of the Cosmos part 3 Quantum leap (Youtube.com)Fundamentals of Physics Halliday, Resnick & WalkerFeynman lectures on Physics (Vol. III) Richard FeynmanIntroduction to Quantum Mechanics - David Griffiths University Physics Young and FreedmanQuantum Mechanics Schaums OutlinesQuantum Mechanics Landau & LifschitzAt the end of the course, you should be able to

Understand and describe the behaviour of nature at the fundamental level.Explain the main concepts of quantum mechanics (QM) and how they differ from classical mechanics (CM).Recall the main equations of QM.Be able to solve a few basic problems.

Blackbody radiation

Max Planck

Photoelectric effect

Albert Einstein

Atomic Spectra

Niels Bohr

QuestionHow the Compton effect be explained using a quantum theory rather than classical theory?Wave Particle Duality

where - De Broglie wavelengthP - Momentum h Plancks constant

Louis De BroglieQuestionCan an object be a particle and a wave at the same time?