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Campus
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SNS
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Programs
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PG
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Session
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Fall Semester 2016
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Course Title
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Quantum Mechanics
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Course Code
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PHY-803
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Credit Hours
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3-0
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Pre-Requisutes
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Course Objectives
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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.
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Detail Content
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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.Time-evolution 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; non-relativistic approximations; plane waves.Relativistic covariance, bilinear covariance. Quantization of the Dirac field
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Text/Ref Books
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- J. J. Sakurai , Modern Quantum Mechanics, Addison-Wesley, 1994 (referred to as TB1)..
- J. J. Sakurai , Advanced Quantum Mechanics, Addison-Wesley, 1967 (referred to as TB2)..
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Time Schedule
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Fall Semester 2014
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Faculty/Resource Person
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Dr. Shahid Iqbal
PhD, Physics (QAU, Pakistan)
Discipline: Theoretical Quantum Physics
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