PH101 Physics I (2-1-0-6)
Calculus of variation: Fermats principle, Principle of least action, Euler-Lagrange equations and its applications.
Lagrangian mechanics: Degrees of freedom, Constraints and constraint forces, generalized coordinates, Lagrange's equations of motion, Generalized momentum, Ignorable coordinates, Symmetry and conservation laws, Lagrange multipliers and constraint forces.
Hamiltonian mechanics: Concept of phase space, Hamiltonian, Hamilton's equations
of motion and applications.
Special Theory of Relativity: Postulates of STR. Galilean transformation. Lorentz transformation. Simultaneity. Length Contraction. Time dilation. Relativistic addition of
velocities. Energy momentum relationships.
Quantum Mechanics: Two-slit experiment. De Broglie's hypothesis. Uncertainty Principle, wave function and wave packets, phase and group velocities. Schrodinger Equation.
Probabilities and Normalization. Expectation values. Eigenvalues and eigenfunctions.
Applications in one dimension: Infinite potential well and energy quantization. Finite
square well, potential steps and barriers - notion of tunnelling, Harmonic oscillator problem zero-point energy, ground state wavefunction and the stationary states.