Details of PH5113 (Autumn 2025)

Level: 5 Type: Theory Credits: 2.0

Course CodeCourse NameInstructor(s)
PH5113 Theoretical Physics I Ananda Dasgupta

Preamble
The course will be administered entirely through a series of problems chosen in advance keeping in mind both their utility and the width of concepts that needs to be covered.

Syllabus
Classical mechanics:
Lagrangians, the action principle and the E-L equations of motion. The Hamlitonian and Hamiltons canonical equation of motion. Small oscillations. Motion in a central force field. Rigid body dynamics -- the symmetric top. Canonical transformations, the action angle formalism and the Hamilton-Jacobi equation.

Quantum Mechanics:
Linear vector spaces, operators, the bra-ket notation. One dimensional square well and barrier. The simple harmonic oscillator -- using both coordinate space and operator based methods. Angular momentum - spectrum and addition. The hydrogen atom problem. Time evolution, Schrodinger, Heisenberg and interaction picture. Scattering theory. Relativistic quantum mechanics -- the Klein-Gordon and Dirac equations. Relativistic covariance of the Dirac equation and the spin of the electron.

References

Course Credit Options

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