# QUANTUM MECHANICS - 2019/0

Module code: MAT3039

Module Overview

This module introduces the basic concepts and techniques of Quantum Mechanics.

Module provider

Mathematics

Module Leader

TORRIELLI Alessandro (Maths)

Number of Credits: 15

ECTS Credits: 7.5

Framework: FHEQ Level 6

JACs code: G121

Module cap (Maximum number of students): N/A

Module Availability

Semester 1

Prerequisites / Co-requisites

MAT1036 Classical Dynamics. You CANNOT take PHY3044.

Module content

Topics covered will include some or all of:

- Crucial experiments and birth of quantum mechanics.
- Hilbert spaces and Dirac notation.
- Postulates of quantum mechanics, uncertainty principle, wave functions.
- Hamiltonian and its spectrum, Schroedinger equation, observables.
- Examples: Particle in a well, tunneling effect, harmonic oscillator.
- Advanced topics: Angular momentum and their addition rules, spin, exclusion principle.
- Advanced Applications: Hydrogen Atom, perturbation theory and level-splitting.

Assessment pattern

Assessment type | Unit of assessment | Weighting |
---|---|---|

Examination | EXAMINATION | 80 |

School-timetabled exam/test | IN-SEMESTER TEST (50 MINS) | 20 |

Alternative Assessment

N/A

Assessment Strategy

The __assessment strategy__ is designed to provide students with the opportunity to demonstrate:

· Understanding of and ability to interpret and manipulate mathematical statements.

· Subject knowledge through the recall of key postulates, theorems and their proofs.

· Analytical ability through the solution of unseen problems in the test and exam.

Thus, the __summative assessment__ for this module consists of:

· One two-hour examination (three out of four best answers contribute to the exam mark) at the end of the Semester; worth 80% of the module mark.

· One in-semester test; worth 20% of the module mark.

__Formative assessment and feedback__

Students receive written feedback via a number of un-assessed coursework assignments over the 11-week period. Students are then encouraged to arrange meetings with the module convener for verbal feedback.

Module aims

- Introduce students to the mathematical description of quantum phenomena.
- Enable students to understand the postulates of quantum mechanics and their applications to the physical world.
- Illustrate the application of the theory of quantum mechanics to simple examples (particles in one-dimension, spin systems)

Learning outcomes

Attributes Developed | ||
---|---|---|

001 | Have a firm understanding of the concepts, theorems and techniques of the quantum theory. | KCT |

002 | Have a clear understanding of how to apply the mathematical techniques to concrete physical examples(tunnelling effect, Stern-Gerlach experiment, nuclear magnetic resonance). | KCT |

003 | Be able to explicitly derive the quantisation rules of simple toy-model systems. | KC |

Attributes Developed

**C** - Cognitive/analytical

**K** - Subject knowledge

**T** - Transferable skills

**P** - Professional/Practical skills

Overall student workload

Independent Study Hours: 117

Lecture Hours: 33

Methods of Teaching / Learning

The __learning and teaching__ strategy is designed to provide:

- A detailed introduction to the relevant theory and its tenets, and to the appropriate mathematical tools for their implementation
- Experience (through demonstration) of the methods used to interpret, understand and solve concrete problems, especially for simple toy-model examples

The

__learning and teaching__methods include:

- 3 x 1 hour lectures per week x 11 weeks, with black/whiteboard written notes to supplement the module notes and Q + A opportunities for students.

Indicated Lecture Hours (which may also include seminars, tutorials, workshops and other contact time) are approximate and may include in-class tests where one or more of these are an assessment on the module. In-class tests are scheduled/organised separately to taught content and will be published on to student personal timetables, where they apply to taken modules, as soon as they are finalised by central administration. This will usually be after the initial publication of the teaching timetable for the relevant semester.

Programmes this module appears in

Programme | Semester | Classification | Qualifying conditions |
---|---|---|---|

Mathematics and Physics BSc (Hons) | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Mathematics with Statistics BSc (Hons) | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Mathematics BSc (Hons) | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Mathematics MSc | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Mathematics and Physics MPhys | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Mathematics and Physics MMath | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Mathematics MMath | 1 | Optional | A weighted aggregate mark of 40% is required to pass the module |

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2019/0 academic year.