Syllabus
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Course Code: B-PHY-402 Course Name: Quantum Mechanics |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | THE ORIGIN QUANTUM PHYSICS Overview,scaleofquantumphysics,boundarybetweenclassicalandquantum phenomena:Blackbody radiation, Planck’s quantum theory; Quantum theory of light, Photon,Photoelectriceffect,Comptoneffect(theoryandresult),Frank-Hertzexperiment,deBrogliehypothesis.DavissonandGermerexperiment, wave packet, phase velocity, group velocity and their relation.Heisenberg's uncertaintyprinciple.Timeenergyandangularmomentum,positionuncertainty.Uncertaintyprinci plefromdeBrogliewave.(Wave-particleduality).GammaRay Microscope,Electrondiffractionfromaslit. |
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| 2 | THE SCHRODINGERWAVEEQUATION Time dependent Schrodinger equation and dynamical evolution of a quantum state ; properties of Wave Function, Interpretation of Wave Function, probability and probability current densities in three dimensions; Condition for physical acceptability of Wave Functions. Normalization, Linearity and Superposition Principles, Eigenvalues and Eigenfunctions, Position, Linear momentum & Energy operators; commutator of position and linear momentum operators; Expectation values of position and linear momentum; Wave Function of a free Particle; Time-independent Schrodingerwaveequation, Stationary states, Eigenfunctions,Eigenvalues andtheir significance. |
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| 3 | APPLICATION OF SCHRODINGERWAVEEQUATION TO ID PROBLEMS (i) Particleinone-dimensionalbox(solutionofSchrodingerwaveequation, Eigenfunctions,Eigenvalues,quantizationofenergy, nodes and anti nodes, zero point energy). (ii) Onedimensionalsteppotential: E>Vo(reflectionandtransmission coefficients). (iii) One dimensional steppotential: E (v) One-dimensional potential barrier, E |
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| 4 | APPLICATION OF SCHRODINGER WAVE EQUATION TO 3D PROBLEMS Separation of Schrodinger wave equation in Cartesian coordinates; Free particle: energy eigenfunctions and eigenvalues; Particle in a cubic potential box:normalized energy eigenfunctions and eigenvalues, non-degenerate and degenerate eigenstates; Threedimensional anisotropic and isotropic harmonic oscillator: normalized energy eigenfunctions and eigenvalues, degeneracy; Central potentials: Separation of Schrödinger equation in spherical polar coordinates, radial and angular equations. |
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