Syllabus

Course Code: B-PHY-601    Course Name: (II) Elements of Modern Physics

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 INTRODUCTION TO MODERN PHYSICS
Planck’s quantum, Planck’s constant and light as a collection of photons; Photo-electric effect and Compton scattering, De Broglie wavelength and matter waves; DavissonGermer experiment, Problems with Rutherford model- instability of atoms and observation of discrete atomic spectra; Bohr's quantization rule and atomic stability; calculation of energy levels for hydrogen like atoms and their spectra.
2 HEISENBERG UNCERTAINTY PRINCIPLE AND SCHRODINGER WAVE EQUATION
Position measurement-gamma ray microscope thought experiment; Wave-particle duality, Heisenberg uncertainty principle- impossibility of a particle following a trajectory; Estimating minimum energy of a confined particle using uncertainty principle; Energy-time uncertainty principle. Two slit interference experiment with photons, atoms and particles; linear superposition principle as a consequence; Matter waves and wave amplitude; Schrodinger equation for non-relativistic particles; Momentum and Energy operators; stationary states; physical interpretation of wave function, probabilities and normalization; Probability and probability current densities in one dimension.
3 APPLICATION OF SCHRODINGER WAVE EQUATION
One dimensional infinitely rigid box- energy eigenvalues and eigenfunctions, normalization; Quantum dot as an example; Quantum mechanical scattering and tunnelling in one dimension -across a step potential and across a rectangular potential barrier, Size and structure of atomic nucleus and its relation with atomic weight; Impossibility of an electron being in the nucleus as a consequence of the uncertainty principle. Nature of nuclear force, NZ graph, semiempirical mass formula and binding energy.
4
BASIC CONCEPT IN NUCLEAR PHYSICS
Radioactivity: stability of nucleus; Law of radioactive decay; Mean life & half-life; α-decay; β-decay-energy released, spectrum and Pauli's prediction of neutrino; γ-ray emission. Fission and fusion, mass deficit, relativity and generation of energy; Fission - nature of fragments and emission of neutrons. Nuclear reactor: slow neutrons interacting with U 235 Fusion and thermonuclear reactions.
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