The University of Southampton
Courses

# PHYS2003 Quantum Physics

## Module Overview

After studying this course students should be able to explain the concept of quantum mechanical wave function and its basic properties, the Schrödinger equation, the concepts of operator, eigenstates and the significance of measurements, and describe the quantum behaviour of systems of many particles.

### Aims and Objectives

#### Learning Outcomes

##### Subject Specific Intellectual and Research Skills

Having successfully completed this module you will be able to:

• Describe the quantum behaviour of a particle.
##### Subject Specific Practical Skills

Having successfully completed this module you will be able to:

• Apply the Schrödinger equation in one dimensional simple situations
• Sketch the solution for the Hydrogen atom
##### Cognitive Skills

Having successfully completed this module you will be able to:

• Explain the concept of quantum mechanical wave function and its basic properties
• Formulate the concepts of operator, eigenstates and the significance of measurements,

### Syllabus

- Probability and probability amplitudes. - Wave functions and 1D Schrödinger equation. - Normalisation, expectation values, momentum and position. - Time independent Schrödinger equation: stationary states. The infinite square well, harmonic - Oscillator, free particle, delta function potential, finite square well. Tunnelling. - Formalism: operators, eigenstates, observables. - Schrödinger equation in 3D: angular momentum and spin. The Hydrogen atom

### Learning and Teaching

TypeHours
Revision10
Lecture36
Follow-up work18
Tutorial12
Preparation for scheduled sessions18
Total study time150

K Tamvakis. Problems and solutions in Quantum Mechanics.

AIM Rae. Quantum Mechanics.

PCW Davies & DS Betts. Quantum Mechanics.

DJ Griffiths. Introduction to Quantum Mechanics.

### Assessment

#### Assessment Strategy

Weekly course work will be set and assessed in the normal way, but only the best ‘n-2’ attempts will contribute to the final coursework mark. Here n = the number of course work items issued during that Semester. As an example, if you are set 10 sets of course work across a Semester, the best 8 of those will be counted. In an instance where a student may miss submitting one or two sets of course work, those sets will not be counted. Students will however, still be required to submit Self Certification forms on time for all excused absences, as you may ultimately end up missing 3+ sets of course work through illness, for example. The submitted Self Certification forms may be considered as evidence for potential Special Considerations requests. In the event that a third (or higher) set of course work is missed, students will be required to go through the Special Considerations procedures in order to request mitigation for that set. Please note that documentary evidence will normally be required before these can be considered. Referral Method: By examination, the final mark will be calculated both with and without the coursework assessment mark carried forward, and the higher result taken.

#### Summative

MethodPercentage contribution
Continuous Assessment 20%
Final Assessment  80%

#### Repeat

MethodPercentage contribution

#### Referral

MethodPercentage contribution