Campus

SNS

Programs

PG

Session

Fall Semester 2016

Course Title

Quantum Mechanics

Course Code

PHY803

Credit Hours

30

PreRequisutes


Course Objectives

Objectives:
This lecture course aims to introduce the students to mathematical structure and advanced concepts of Quantum Mechanics.
Outcomes:
On successful completion of this course, students will be able to
 understand the essence of quantum theory;
 develop preliminary mathematical formalism for the subject;
 solve the elementary problems of quantum dynamics;
 distinguish between various approaches of quantum mechanics;
 understand the concepts of radiation fields and their quantization;
 solve the Dirac equations and to quantize it;
 apply basic analytic tools developed during the course to research problems in many related areas.

Detail Content

Introduction, linear vector spaces, ket space, bra space and inner products, operators, and associated axioms.Base kets and matrix representations: eigenkets of an observable, eigenkets as base kets and matrix representations.
Measurements, observables and the uncertainty relations.Change of basis: transformation operator, transformation matrix and diagonalization.Position, momentum and translation.
Wave functions in position and momentum space.Timeevolution and the Schrödinger equationThe Schrödinger versus Heisenberg picture.Simple harmonic oscillator (operator method and coordinate representation) Schrödinger wave equation Potentials formulation in quantum mechanics, Maxwell's theory of gauge transformation,vector potentials in quantum mechanics.Introduction to special theory of relativity, classical radiation fields, creation, annihilation and number operators.Quantized radiation fieldEmission and absorption of photons by atomsRayleigh scattering, probability conservation in relativistic quantum mechanicsThe Dirac Equation Simple solutions; nonrelativistic approximations; plane waves.Relativistic covariance, bilinear covariance. Quantization of the Dirac field

Text/Ref Books

 J. J. Sakurai , Modern Quantum Mechanics, AddisonWesley, 1994 (referred to as TB1)..
 J. J. Sakurai , Advanced Quantum Mechanics, AddisonWesley, 1967 (referred to as TB2)..

Time Schedule

Fall Semester 2014

Faculty/Resource Person

Dr. Shahid Iqbal
PhD, Physics (QAU, Pakistan)
Discipline: Theoretical Quantum Physics

