Courses Catalogue

Quantum Mechanics

COURSE CODE: PHY3201
COURSE CREDIT UNIT: 3
ACADEMIC PROGRAMME: Physics BSc
COLLEGE/SCHOOL/FACULTY: School of Natural and Applied Sciences
STATUS: Core
PROGRAMME TYPE: Undergraduate

Course Description

COURSE DESCRIPTION

 

Topics covered: time-independent perturbation theory, non degenerate and degenerate cases, fine structure of the hydrogen atom, variational principle, helium atom, H2 ion, WKB approximation, tunneling, time-dependent perturbation theory, emission and absorption of electromagnetic radiation, scattering, adiabatic approximation

 

COURSE JUSTIFICATION/RATIONALE

 

The aim of this course is to consolidate and extend your knowledge of quantum mechanics by introducing more theoretical tools and some more advanced applications.

 

LEARNING OBJECTIVES

 

By the end of this course, the student should be able to:

§  Extend quantum theory to three dimensions using the machinery of angular momentum for systems with spherical symmetry.

§  Discuss the spin or formalism to describe physical spin and two-level systems.

§  Compute the dynamical evolution of quantum systems and convert results between the different representations of quantum theory.

§  Describe independent quantum systems, including identical particles, and give their quantum information content.

§  Examine in detail a number of key experiments relating to the quantum theory.

§  Apply Schrödinger’s equation to determine advanced problems in quantum mechanics.

LEARNING OUTCOMES

 

A student completing the course is expected to demonstrate knowledge and understanding of:

§  operators and states using Dirac's bra and ket notation

§  simple harmonic oscillator using raising and lowering operators

§  quantum angular momentum, including spin, and analyse it using raising and lowering operators

§  non-locality and the Bell inequalities, and apply the concepts to cryptographic key exchange

§  qubits and some basic ideas in quantum computation

§  WKB approximations