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Paper : Quantum Mechanics – II

Code: 09020202

Sr. No Topic Learning Objectives (At the end the student should be able to) Teaching Guidelines Methodology Time
1.  Approximations

1. Harmonic perturbation, 2.Fermi’s Golden rule, selection rules,

3. Adiabatic and sudden approximations.






Explanation of

Approximation Methods

 To cover

1.WKB Approximation for one dimensional problem,

2. WKB Approximation for three dimensional problem,

3. Application to barrier penetration.

4.Time dependent perturbation Theory

5.General expression for the transition probability from one state to another



1. White board teaching



2. Assignments




10 hrs


Wave Scattering

1.Breit-Wigner formula for one level and two levels, Non-resonant scattering-wave and p-wave resonances

2 Exactly soluble problems; Square-well, Hard sphere, coulomb potential.

3.. Born approximation; its validity, Born series.











Knowledge of Scattering Theory and Approximations

 To explain

1.General considerations; kinematics, wave mechanical picture, scattering amplitude, 2.Differential and total cross-section

3.Green’s function for scattering

4.Partial wave analysis: asymptotic behaviour of partial waves, phase shifts, scattering amplitude in terms of phase shifts, cross-sections

5. Optical theorem.

6.Phase shifts and its relation to potential

7. Effective range theory. 8.Application to low energy scattering; resonant scattering

 1. white board teaching


2. Class tests

9 hrs



1 hr



3. Schrodinger wave equation


1.Fermions and bosons; Spin and total wave function for a system of two spin particles

2.Pauli exclusion principle and Slater determinant

3.Application to the electronic system of the helium atom (para- and orthohelium).


To explain concepts of Quantum mechanics behind many-particle system

 To derive

1.Many-particle Schrodinger wave equation

2.Identical particles: Physical meaning of identity

3.Principle of in-distinguishability and its consequences

4. Exchange operator, Symmetric and anti-symmetric wave functions 5.Connection between spin, symmetry and statistics



1. White Board Teaching


2. Group discussions



8 hr




4. Plane Wave Equation

1.Transition probability for absorption

2.Transition probability for induced emission



Discuss Relativistic Quantum Mechanics and Radiation Theory

To derive and explain

1.Klein-Gordan Equation, 2.Dirac Equation and its plane wave solution.

3.Electric dipole

4.Forbidden transitions

5.Selection rules.



1. White Board Teaching


2. Group discussions



8 hr