Bsc/Msc Physics
Unit 1
- Disscus in brief the Basics postulates of Quantum Mechanics [ Photo Electric Effect, Black Body Radiation and related laws, Compton effect, De Broglie Hypothesis, wave particle duality, wave packet, Heisenberg's Uncertainty Principle, Schrodinger wave equation]
- What is Ehrenfest's theorem? state and prove it.
- Establish Equation of continuity.
- What is probability current density?
- Describe orthogonality of eigen functions.
- Write the properties of the wave function and explain probability, wave amplitude, and wave packet.
- Explain about expectation values and closer properties of eigen functions.
- Derive the time dependent and time independent Schrodinger wave equations.
- Find the solution of the Schrödinger equation for a one-dimensional potential well/step/barrier.
- Write notes on tunneling effect through potential barrier.
Unit 2
- Write notes on Linear vector space and Hilbert space.
- Write notes on bra and ket notation for State vector.
- Describe unitary transform.
- What are creation and annihilation operators? Explain it.
- Explain matrices of x and p.
- Write notes on Schwartz inequality (Heisenberg's Uncertainty realation through operators).
Unit 3
- Write down the Schrodinger equation for Hydrogen atom and obtain it's solution.
- Write the Schrodinger equation for a Square well potential and obtain it's solution.
- Write the Schrodinger equation for Linear harmonic oscillator and obtain it's solution
- Prove that the ground state energy of deuteron is 36 MeV.
- Write notes on application of the Schrodinger equation in atomic spectra and molecular spectra.
- Explain the nuclear state of deuteron.
Unit 4
- Describe Angular momentum in quantum Mechanics.
- Obtain the Eigen values and Eigen functions for L² and Lz.
- Describe the Commutation relations and obtain them for Lx, Ly and Lz.
- Explain the time independent perturbation theory for degenerate case.
- Explain the time independent perturbation theory for non degenerate case.
