PH5008: Quantum Mechanics 2

L-T-P-C: 3-0-0-3

Prerequisites: PH5007

Syllabus

Module 1: Angular momentum algebra

( Lecture hours: 7 , Tutorial hours: 0 , Lab hours: 0 )

Eigenstates and eigenvalues of angular momentum, Addition of angular momenta, Clebsch-Gordan coefficients .

Module 2: Approximation Methods

( Lecture hours: 20 , Tutorial hours: 0 , Lab hours: 0 )

Time-independent perturbation theory: non-degenerate and degenerate cases with examples, WKB method, Variational method, Time-dependent perturbation theory, Interaction picture, Dyson series and transition probabilities, Interaction of atom with electromagnetic radiation, Emission and absorption of photons, Fermi's golden rule .

Module 3: Relativistic Quantum Mechanics

( Lecture hours: 5 , Tutorial hours: 0 , Lab hours: 0 )

Klein-Gordon equation, Dirac equation, Spinors, Negative energy solutions and their interpretation .

Module 4: Scattering

( Lecture hours: 5 , Tutorial hours: 0 , Lab hours: 0 )

Lippmann-Schwinger equation, Scattering amplitude and cross section, Born approximation .

Module 5: Path integral approach to Quantum Mechanics

( Lecture hours: 5 , Tutorial hours: 0 , Lab hours: 0 )

Kernel, propagator and transition amplitudes, Feynman's path integrals, Examples of free particle and harmonic oscillator .

Study Materials

Textbooks

  1. Modern Quantum Mechanics, J. J. Sakurai, Addison Wesley; Revised Edition, ISBN: 978-0201539295
  2. Introduction to Quantum Mechanics, David J. Griffiths, Pearson Education; 2nd Edition, ISBN: 978-9332542891
  3. Quantum Mechanics and Path Integrals, R. P. Feynman, A. R. Hibbs, Dover Publications, ISBN: 978-0486477220

References

  1. Principles of Quantum Mechanics, R. Shankar, Springer; 2nd Edition, ISBN: 978-0306447907
  2. Quantum Mechanics, C. Cohen Tannoudji, Bernard Diu, Frank Laloe, Wiley-VCH, ISBN: 978-0471569527
  3. Quantum Mechanics, Eugene Merzbacher, Wiley; 3rd Edition, ISBN: 978-8126533176
  4. Lectures on Quantum Mechanics, Steven Weinberg, Cambridge University Press; 2nd Edition, ISBN: 978-1316276105
  5. Quantum Mechanics, V. K. Thankappan, New Academic Science Ltd; 4th Revised Edition, ISBN: 978-1781830147