Details of PH3102 (Autumn 2020)

Level: 3 Type: Theory Credits: 4.0

Course CodeCourse NameInstructor(s)
PH3102 Quantum Mechanics Soumitro Banerjee

Preamble
This is a core course for undergraduate students (BS-MS and IPhD) . Basic formalism and mathematical structure of Quantum Mechanics is discussed with examples in this course.

Syllabus
Recapitulation of basic formalism: Postulates of Quantum Mechanics, state vectors,
observables, operators, measurements.
State vector formalism, Hilbert space, bra-ket notation, Hermitian and unitary
operators, discrete & continuous basis, position & momentum basis, change of basis.
Generalized uncertainty principle, generalized Ehrenfest theorem, matrix
representation of operators, matrix mechanics, time evolution operator.
The density matrix formalism.
Quantum dynamics: Heisenberg Schroedinger and interaction picture.
A brief discussion of Schroedinger's equation in 2D and 3D central potential.
Angular momentum, Stern-Gerlach experiment, orbital angular momentum, spin
angular momentum, commutation relations and compatibility, matrix
representation of spin and its operators, spin in an arbitrary direction, calculating
probabilities.
Addition of angular momentum. Clebsch-Gordon coefficients.
Symmetries in QM: Parity, translational symmetry, time reversal, rotation group etc.
Time independent perturbation theory. Examples could include the anharmonic
oscillator, Stark and Zeeman effects, Spin-Orbit and other hyperfine interactions etc.

Prerequisite
Physics in Levels 1 and 2

References
References:

1. Modern Quantum Mechanics J. J. Sakurai
2. Principles of Quantum Mechanics -- R. Shankar
3. Quantum Mechanics A new introduction, K. Konishi and G. Pafutti

Course Credit Options

Sl. No.ProgrammeSemester NoCourse Choice
1 IP 1 Core
2 IP 3 Not Allowed
3 IP 5 Not Allowed
4 MR 1 Not Allowed
5 MR 3 Not Allowed
6 MS 5 Core
7 MS 7 Not Allowed
8 MS 9 Not Allowed
9 RS 1 Elective
10 RS 2 Elective