# M. Sc. (Physics):Liquid Crystals:Advanced Quantum Mechanics

Thapar UniversityPrice on request

Price on request

Rs 90,000

£ 439 - (Rs 37,580)

£ 396 - (Rs 33,899)

## Important information

Typology | Master |

Start | Patiala |

- Master
- Patiala

Starts | Location |
---|---|

On request |
PatialaThapar University P.O Box 32, 147004, Punjab, India See map |

Starts | On request |

Location |
PatialaThapar University P.O Box 32, 147004, Punjab, India See map |

## Course programme

First Semester

Classical Mechanics

Statistical Mechanics

Quantum Mechanics

Mathematical Physics

Physics Lab I

Fundamentals of Computer Science and C Programming

Second Semester

Condensed Matter Physics

Experimental Techniques in Physics

Atomic and Molecular Physics

Electrodynamics

Electronics

Physics Lab II

Third Semester

Particle Physics

Nuclear Physics

Semiconductor Physics

Physics Lab III

Seminar

Fourth Semester

Dissertation

Advanced Quantum Mechanics

Relativistic Quantum Mechanics: Klein-Gordon equation, Dirac equation and its plane wave solutions, solution of Klein Gordan equation for a particle with coulomb potential, significance of negative energy solutions, spin angular momentum of the Dirac particle. The non-relativistic limit of Dirac equation, Electron in electromagnetic fields, spin magnetic moment, spin-orbit interaction, Dirac equation for a particle in a central field, fine structure of hydrogen atom, Lamb shift.

Field Quantization: Classical field theory, Lagrangian and Hamiltonian formalism of a particle in an electromagnetic field, Second quantization, Concepts and illustrations with Schrödinger field, Creation, annihilation and number operator.

Relativistic Quantum Field Theory: Quantization of a real scalar field and its application to one meson exchange potential. Quantization of a complex scalar field, Dirac field and e.m. field, Commutation relations, Covariant perturbation theory,

Interaction: Yukawa interaction, Coupling of electron and electromagnetic field, Global and guage invariance Feynman diagrams, Feynman rules, Feynman graphs for Compton and e-e scattering, Path integration method: Probability amplitude as path integral, action, free particle and harmonic oscillator motion, Wick's Theorem. Scattering matrix.