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FORMAT FOR COURSE CURRICULUM Course Title: Basic Quantum Mechanics Course Code : Credit Units:3 L T P/S SW/FW 3 - - - Course Objectives: This course will provide the knowledge of wave function and Schrodinger wave equation. Students will apply the Schrodinger equation to find out eigen function and eigen values of different bound systems. Pre-requisites: Knowledge of basic intermediate physics Student Learning Outcomes: The student will able to describe the basic concept of wave function , operators, eigen functions and eigen values.. Analyse the properties of different operators and commutation relation of different operators. Apply Schrodinger equation to find out eigen function and eigen values of different bound particle system. Apply basic quantum theory to find transmission and reflection of potential barrier and potential well Course Contents/Syllabus: Weightage (%) Module I: Introduction to Quantum phenomenon Failure of Classical Physics: Blackbody radiation, Photoelectric effect, Compton Effect, Frank-Hertz experiment, Wave nature of matter: DeBroglie relation, Davisson and Germer's experiment, Heisenberg Uncertainty Principle, Wave description of Particles by Wave Packets. Group and Phase Velocities and Relation between them. Two Slit Experiment with Electrons. Probability. Wave Amplitude and Wave Functions. Heisenberg’s Uncertainty Principle, 30 TOTAL CREDIT UNITS 3 Module II: Schrodinger equation and expectation values 30 Wave function, orthogonality and normalisation, features of a wellbehaved wave functions, Interpretation of Wave Function. Probability Density and Probability, operators: energy and momentum operators, Time-independent Schrödinger equation, eigenvalues, eigenfunctions, Module III: Applications of Schrödinger Wave Equation 40 General features of bound and unbound states; Symmetric potentials and parity: Nondegenerate spectrum, degenerate spectrum, Free particle: continuous states, Infinite square-well potential (Particle in a rigid box problem): energy eigenvalues, eigenfunctions, momentum and position expectation values, zero-point energy, Scattering and bound state solutions of : (a) Step potential: reflectance and transmittance, probability current and its conservation, (b) Potential barrier: transmission coefficient, tunnel effect Pedagogy for Course Delivery: The class will be taught using theory based method. In addition to assigning the assignments and class test, the course instructor will spend considerable time in understanding the concept of innovation. The instructor will cover the ways to think innovatively liberally using thinking techniques. Assessment/ Examination Scheme: Theory L/T (%) Lab/Practical/Studio (%) 100 NA End Term Examination 100 Theory Assessment (L&T): Continuous Assessment/Internal Assessment Components (Drop down) CT Weightage (%) 10 HA S/V/Q End Term Examination ATTD EE 7 8 5 70 Text & References: Nouredine Zettili, Quantum Mechanics: Concepts and Applications,(JohnWiley,Chichester, 2001). L. I. Schiff, Quantum Mechanics, 3rd Edition, (McGraw Hill Book Co., New York 1968). E. Merzbacher, Quantum Mechanics, 3rd Edition, (John Wiley & Sons, Inc1997) J.L. Powell & B. Crasemann, Quantum Mechanics, (Addison-Wesley Pubs.Co.,1965) Ghatak & S. Lokanathan, Quantum Mechanics: Theory and Applications, 5th Edition, (Macmillan India, 2004) Arno Bohm, Quantum Mechanics: Foundations and Applications, 3rd Edition (New York: Springer -Verlag, 2003). Quantum Mechanics by V. Devanathan. (Narosa Publishing House.)