Syllabus

(10 hours)
Quantum Mechanics: Black body radiation, photoelectric effect, X-ray, Compton Effect, pair production, Particle nature of wave, Wave nature of particle, de Broglie waves, group waves, phase velocity and group velocity, uncertainty principle and its application, wave Function.

(6 hours) Schrödinger Equation, boundary conditions on wave function, Particle in a box.

(6 hours)
Statistical distributions, Maxwell-Boltzmann statistics, Molecular energies in ideal gas.

(6 hours)
Quantum statistics, Bose-Einstein and Fermi-Dirac statistics, Rayleigh-Jeans formula, Planck's law of radiation, specific heats of solids, Dulong-Petit’s law, Einstein’s formula, Free electrons in metals.

(8 hours)
Thermal and Statistical Physics: Laws of thermodynamics, Reversible and irreversible processes, Carnot’s cycle, thermodynamic scale of temperature, Concept of entropy, Entropy change in reversible and irreversible processes, Entropy of ideal gases, Thermodynamic functions, Internal energy, Enthalpy, Helmholtz function and Gibb’s free energy, Maxwell’s thermodynamical equations and their applications.

To learn the foundation of quantum mechanics.

To learn the quantum mechanical treatment of a given problem.

To learn the fundamentals of thermodynamic processes and functions.

To learn the classical and quantum mechanical ways of statistical distribution for particles.

To learn the laws that govern the statistics of quantum particles and their implications.

At the end of the course, students will be able to:
Understand the physical phenomenon that led to the foundation of quantum mechanics.

Understand the mathematical treatment of quantum mechanical problems.

Solve the numerical problems for practical applications.

Gain an understanding of classical and quantum statistical distributions and their implication in explaining the observed phenomenon.

Gain an understanding of thermodynamic processes and functions.

A. Bieser, Concept of Modern Physics, Tata-McGraw Hill , 6th Edition (2003).

K. W. Zeemansky, Heat and Thermodynamics, McGraw Hill Education , 8th Edition (2014).

R. Resnick and R. Eisberg, Quantum Physics of Atoms, Molecules, Solids, Nuclei And Particles, Wiley , 2nd Edition (1985).

K. S. Krane, Modern Physics, Wiley , 3rd Edition (2012).