Where complex Physics meets simple Chemistry

My Teachings

jc7

 

 

 

UNDER GRADUATE (ADVANCED LEVEL): (August- March, 2 classes / week each of 45 minutes duration)

  1. Electromagnetic Theory 
  2. Classical Mechanics –I

Course Outline :

a. Mechanics of a Single Particle

Velocity and acceleration of a particle in (i) plane polar coordinates – radial and cross-radial components (ii) spherical polar and (iii) cylindrical polar co-ordinate system; Time and path integral of force; work and energy; Conservative force and concept of potential; Dissipative forces; Conservation of linear and angular momentum.

b. Mechanics of a System of Particles
Linear momentum, angular momentum and energy – centre of mass decompositon; Equations of motion,
conservation of linear and angular momenta.

c. Rotational Motion
Moment of inertia, radius of gyration; Energy and angular momentum of rotating systems of particles;
Parallel and perpendicular axes theorems of moment of inertia; Calculation of moment of inertia for
simple symmetric systems; Ellipsoid of inertia and inertia tensor; Setting up of principal axes in simplesymmetric cases. Rotating frames of reference -Coriolis and centrifugal forces, simple examples. Force-free motion of rigid bodies – free spherical top and free symmetric top.

3. Thermodynamics

a. Basic Concepts
Microscopic and macroscopic points of view : thermodynamic variables of a system, State function, exact
and inexact differentials.

b. First Law of Thermodynamics
Thermal equilibrium, Zeroth law and the concept of temperature. Thermodynamic equilibrium, internal
energy, external work, quasistatic process, first law of thermodynamics and applications including
magnetic systems, specific heats and their ratio, isothermal and adiabatic changes in perfect and real
gases. (5)

c. Second Law of Thermodynamics
Reversible and irreversible processes, indicator diagram. Carnot’s cycles-efficiency, Carnot’s theorem.
Kelvin’s scale of temperature, relation to perfect gas scale, second law of thermodynamics – different
formulations and their equivalence, Clausius inequality, entropy, change of entropy in simple reversible
and irreversible processes, entropy and disorder; equilibrium and entropy principle, principle of
degradation of energy

d. Thermodynamic Functions
Enthalpy, Helmholtz and Gibbs’ free energies; Legendre transformations, Maxwell’s relations and simple
deductions using these relations; thermodynamic equilibrium and free energies.

e. Change of State
Equilibrium between phases, triple point : Gibbs’ phase rule (statement only) and simple applications.First and higher order phase transitions, Ehrenfest criterion. Clausius-Clapeyron’s equation. Joule-Thomson effect.Atomic & Molecular Physics

     4. Atomic & Molecular Physics 

a. Atomic Spectrum
Good quantum numbers, and selection rules. Stern-Gerlach experiment and spin as an intrinsic quantum
number. Incompatibility of spin with classical ideas. Bohr-Sommerfeld model. Fine structure. Study of
fine structure by Michelson interferometer.

b. Vector atom model
Magnetic moment of the electron, Lande g factor. Vector model – space quantization. Zeeman
effect. Explanation from vector atom model.

c. Many electron model
Pauli exclusion principle, shell structure. Hund’s rule, spectroscopic terms of many electron atoms in the
ground state.

d. Molecular spectroscopy
Diatomic molecules – rotational and vibrational energy levels. Basic ideas about molecular
spectra. Raman effect and its application to molecular spectroscopy .

 5. Laser Physics

Population inversion, Einstein’s A and B coefficients; feedback of energy on a resonator; 3-level and 4-level
systems.

6. Classical Mechanics – II

a. Central force problem
Motion under central force; Nature of orbits in an attractive inverse square field; Kepler’s laws of planetary
motion. Rutherford scattering as an example of repulsive potential.

b. Mechanics of Ideal Fluids
Streamlines and flowlines; Equation of continuity; Euler’s equation of motion; Streamline motion –
Bernoulli’s equation and its applications. Definition of Newtonian and non-Newtonian fluids.

c. Lagrangian and Hamiltonian formulation of Classical Mechanics
Generalised coordinates, constraints and degrees of freedom; D’Alembart’s principle; Lagrange’s equation
for conservative systems (from D’Alembert’s principle; variational principle not required) and its application
to simple cases; Generalised momentum; Idea of cyclic coordinates, its relation with conservation principles;
Definition of Hamiltonian, Hamilton’s equation (derivation by Legendre transformation) and its application
to simple cases.

       7. Practical (Electrical & Optics Lab)

 

UNDERGRADUATE (GENERAL LEVEL): (August- March, 1 class / week each of 45 minutes duration)

  1. Classical Mechanics
  2.  Special Theory of Relativity
  3. Practical

 

POST GRADUATE LEVEL (July-September : 1 class /week each of 2 hrs duration)

  1. Molecular Physics
  2. Applications of Group Theory in Molecular Physics

Course Outline :