# PX267 - Hamiltonian Mechanics

**Module code:**PX267**Module name:**Hamiltonian Mechanics**Department:**Physics**Credit:**7.5

Content and teaching | Assessment | Availability

## Module content and teaching

###### Principal aims

To revise the key elements of Newtonian mechanics and use this to motivate and then develop Lagrangian and Hamiltonian mechanics

###### Principal learning outcomes

At the end of the module, you should: Understand the significance of the Lagrangian. You should be able to derive and solve the Euler-Lagrange equations for simple models; (Working from the Lagrangian) be able to find the canonical momenta and to construct the Hamiltonian function; Be able to derive and solve Hamilton's equations for simple systems; Appreciate the role of (and relations between) constraints, conserved quantities and generalised coordinates

###### Timetabled teaching activities

about 18 Lectures

###### Departmental link

http://www2.warwick.ac.uk/fac/sci/physics/teach/syllabi/year2/px267

###### Other essential notes

This module introduces the Hamiltonian formulation of classical mechanics. This elegant theory has provided the natural framework for several important developments in theoretical physics including quantum mechanics. The module starts by covering the general "spirit" of the theory and then goes on to introduce the details. The module uses a lot of examples. Many of these should be familiar from earlier studies of mechanics while others, which would be much harder to deal with using traditional techniques, can be dealt with quite easily using the language and methods of Hamiltonian mechanics.

## Module assessment

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

7.5 CATS (Module code: PX267-7.5) | ||

B (Examination only) | Hamiltonian Mechanics (Summer) | 100% |

VA (Visiting students only) | 100% assessed (visiting/exchange) PART YEAR | 100% |

## Module availability

This module is available on the following courses:

###### Core

N/A

###### Optional Core

N/A

###### Optional

- Undergraduate Physics (BSc) (F300) - Year 2
- Undergraduate Physics (MPhys) (F303) - Year 2
- Undergraduate Physics (BSc MPhys) (F304) - Year 2
- Undergraduate Physics and Business Studies (F3N1) - Year 2
- Undergraduate Mathematics and Physics (MMathPhys) (FG31) - Year 2
- Undergraduate Mathematics and Physics (BSc MMathPhys) (FG33) - Year 2
- Undergraduate Mathematics (BSc) (G100) - Year 2
- Undergraduate Mathematics with Intercalated Year (G101) - Year 2
- Undergraduate Mathematics (MMath) (G103) - Year 2
- Undergraduate Master of Mathematics (with Intercalated Year) (G105) - Year 2
- Undergraduate Mathematics (MMath) with Study in Europe (G106) - Year 2
- Undergraduate Mathematics and Business Studies (with Intercalated Year) (G1N2) - Year 2
- Undergraduate Mathematics and Business Studies (G1NC) - Year 2
- Undergraduate Mathematics and Physics (BSc) (GF13) - Year 2
- Undergraduate Mathematics and Economics (GL11) - Year 2
- Undergraduate Mathematics and Economics (with Intercalated Year) (GL12) - Year 2