# PX408 - Relativistic Quantum Mechanics

**Module code:**PX408**Module name:**Relativistic Quantum Mechanics**Department:**Physics**Credit:**7.5

Content and teaching | Assessment | Availability

## Module content and teaching

###### Principal aims

This module should start from the premise that quantum mechanics and relativity need to be mutually consistent. The Klein Gordon and Dirac equations are derived as relativistic generalisations of Schrödinger and Pauli equations respectively. The Dirac equation will be analysed in depth and its successes and limitations will be stressed.

###### Principal learning outcomes

At the end of this module you should: have an appreciation of the general nature of Relativistic Quantum Mechanics; have an understanding of the Dirac equation, its significance and its transformation properties; be able to explain how some physical phenomena including spin, the gyromagnetic ratio of the electron and the fine structure of the hydrogen atom can be accounted for using relativistic quantum mechanics.

###### Timetabled teaching activities

15 Lectures

###### Departmental link

http://www2.warwick.ac.uk/fac/sci/physics/teach/syllabi/year4/px408

###### Other essential notes

The module sets up the relativistic analogues of the Schrödinger equation and analyses their consequences. Constructing the equations is not trivial - knowing the form of the ordinary Schrödinger equations turns out not to be much help. The correct equation for the electron, due to Dirac, predicts antiparticles, spin and other surprising phenomena. One is the 'Klein Paradox': When a beam of particles is incident on a high potential barrier, more particles can be 'reflected' than are actually incident on the barrier.

## Module assessment

Assessment group | Assessment name | Percentage |
---|---|---|

7.5 CATS (Module code: PX408-7.5) | ||

B (Examination only) | 1.5 hour examination (Summer) | 100% |

VA (Visiting students only) | 100% assessment visiting/exchange PART-YEAR ONLY | 100% |

## Module availability

This module is available on the following courses:

###### Core

N/A

###### Optional Core

N/A

###### Optional

- Undergraduate Physics (BSc MPhys) (F304) - Year 4
- Undergraduate Mathematics and Physics (BSc MMathPhys) (FG33) - Year 4
- Undergraduate Mathematics (BSc) (G100) - Year 3
- Undergraduate Mathematics with Intercalated Year (G101) - Year 4
- Undergraduate Mathematics (MMath) (G103) - Year 3
- Undergraduate Mathematics (MMath) (G103) - Year 4
- Undergraduate Master of Mathematics (with Intercalated Year) (G105) - Year 3
- Undergraduate Master of Mathematics (with Intercalated Year) (G105) - Year 4
- Undergraduate Master of Mathematics (with Intercalated Year) (G105) - Year 5
- Undergraduate Mathematics (MMath) with Study in Europe (G106) - Year 3
- Undergraduate Mathematics (MMath) with Study in Europe (G106) - Year 4
- Master of Advanced Study in Mathematical Sciences (G1PE) - Year 1