Course Importance: This undergraduate course develops concepts in quantum mechanics that can be understood from a fundamental point of view. It provides a basis for further study of quantum mechanics as in previous semester Quantum Mechanics-I is already being offered to the students. The main emphasis of this course will be to understand the quantum concepts regarding angular momentum, solution of Schrodinger equation in three dimensions (Cartesian Coordinates, Spherical Coordinates, and Hydrogen Atom), approximation methods for stationary states, theory of scattering and identical particles.
Learning Outcomes: This course examines the fundamental concepts and techniques of quantum mechanics. Students will develop a self-critical perspective on the theoretical techniques to solve the problems. Rather the task is to develop reflective and critical skills for thinking about creative solutions to for further higher studies and applications.
Course Contents:
1. Orbital angular momentum, The eigenvalues and eigen-functions of L2 and Lz, Matrix representation of angular, momentum operators, Addition of angular momenta. Schrödinger Equation in Three Dimensions (3D problems in Cartesian and Spherical coordinates).
2. Approximate Methods (Time independent perturbation theory for non degenerate and degenerate levels, the variational method, The WKB approximation, Time dependent perturbation theory).
3. Identical Particles and Second Quantization (Many Particles Systems, Systems of Identical Particles, The Pauli Exclusion Principle).
4.Theory of Scattering, The Interaction of Quantum Systems with Radiation (Classical Treatment of Incident Radiation, Quantization of the electromagnetic Field, Transition Rates for Absorption and Emission of Radiation, Transition Rates within the Dipole, The Electric Dipole Selection Rules).
Suggested Books:
1. Introductory Quantum mechanics by R.L. Liboff, Addison Wesley Publishing Company, Reading Mass. (1980).
2. QUANTUM MECHANICS: Concepts and Applications by Nouredine Zettili, JOHN WILEY & SONS (2001)
3. A Modern Approach to Quantum Mechanics by J.S. TownsendMcGraw Hill Book Company,
Singapore (1992).
4. Quantum Mechanics: An Introduction by W. Greiner, Addison Wesley Publishing Company, Reading Mass. (1980).
5. Quantum Mechanics, Classical Results, Modern Systems, and Visualized Examples by Richard W. Robinett, Oxford University Press (2006).
6. Theory of Quantum by Bialynicki-Birula, M. Cieplak & J. Kaminski, Oxford University Press, New York (1992).
7. Relativistic Quantum Mechanics by W. GreinerSpringer Verlag, Berlin (1990).
8. Quantum Mechanics by F. Schwabe, Narosa Publishing House, New Delhi (1992).
9. Quantum Physics by S. Gasiorowicz, Wiley, (2003).
10. Introduction to Quantum Mechanics by David J. GriffithsPRENTICE Hall, Int., Inc, (2005).
ASSESSMENT CRITERIA:
Sessional 20 Marks Division: Home assignments = 6 marks + sessional tests {7 (marks before Mid Term) + 7 (marks after Mid Term)}
Mid Term exam: 30 marks
Final exam: 50 marks
Class Meetings:
1. BSVII Regular: Monday to Wednesday 10:00 am to 11:00 am
2. BSVII Self Support: Wednesday to Friday 11:30 am to 12:30 pm
3. BSVII Ex-PPP: Thursday to Friday 9:30 am to 11:00 am
Important Dates:
Commencement of Classes Octobe 12, 2020 (Monday)
Mid Term Examination December 14 to 18, 2020 (Monday to Friday)
Final Term Examination February 08 to 12, 2021 (Monday to Friday)
Declaration of Result February 19, 2021 (Friday)