2005/06 Undergraduate Module Catalogue
PHYS3381 Advanced Quantum Mechanics
10 creditsClass Size: 100
Module manager: Professor G J Morgan
Taught: Semester 1 (Sep to Jan) View Timetable
Year running 2005/06
Pre-requisitesPHYS2042, PHYS2160, PHYS2170 or equivalents
This module is not approved as an Elective
ObjectivesAt the end of this module students should be able to:
- define the rules of quantum mechanics;
- solve Schrödinger's equation when separable in Cartesian coordinates for a variety of situations including that of an electron in a magnetic field;
- derive the results of lowest order time independent and time dependent perturbation theory and apply the results to simple physical situations;
- describe the principles of the variational method and apply the method to simple physical problems;
- describe and derive the methods of matrix mechanics and some numerical methods for solving the matrix equations;
- discuss the description of electron spin in terms of Pauli spin matrices and solve simple associated problems.
The ability to use quantum mechanics in different scientific disciplines (chemistry, biology, etc.) and apply the same mathematics in other fields.The ability to use quantum mechanics in different scientific disciplines (chemistry, biology, etc.) and apply the same mathematics in other fields.
Revision of the basic postulates of quantum mechanics. The solution of Schrödinger's equation when separated using Cartesian coordinates combining the confinement of electrons in infinite wells with simple harmonic oscillations and period boundary conditions. This leads to a description of Landau levels for charged particles in a magnetic field. The variational method for solving difficult problems with various worked examples. Matrix mechanics leading to the description of spin states and the Pauli spin matrices. Time dependent and time independent perturbation theory.
Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for informationLectures: 22 hours.
Private study3 sets of marked homework: 30 hours;
Revision and reading: 48 hours.
Opportunities for Formative Feedback3 assignments.
Methods of assessment
Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information1 x 2 hour written examination at the end of the semester: 85%;
3 marked exercises: 15%.
Reading listThe reading list is available from the Library website
Last updated: 19/04/2005
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