PH32012: Advanced classical mechanics
[Page last updated: 23 April 2025]
| Academic Year: | 2025/26 |
| Owning Department/School: | Department of Physics |
| Credits: | 5 [equivalent to 10 CATS credits] |
| Notional Study Hours: | 100 |
| Level: | Honours (FHEQ level 6) |
| Period: |
- Semester 2
|
| Assessment Summary: | EXOB 100% |
| Assessment Detail: |
- Written examination (EXOB 100%)
|
| Supplementary Assessment: |
- Like-for-like reassessment (where allowed by programme regulations)
|
| Requisites: |
Before taking this module you must ( take PH22010 AND take PH12005 ) OR ( take MA22016 AND take MA22020 AND take MA22021 AND take MA12011 ) OR ( take PH10004 AND take PH20107 ) OR take PH32018
|
| Learning Outcomes: |
After taking this unit the student should be able to:
show proficiency in using the Lagrangian formulation to solve problems in classical mechanics;
apply methods of the calculus of variations;
use symmetries to derive conservation laws;
show proficiency in using the Hamiltonian formulation of classical mechanics;
formulate and analyse equations of motion for systems of oscillators;
analyse classical field theories.
|
| Synopsis: | Classical Mechanics is an area of fundamental physics where a mathematical treatment is essential to appreciate the subject. You will study the underlying principles of the Lagrangian and Hamiltonian formalisms of classical mechanics, use these to formulate and solve a range of problems, and see the fundamental connection between symmetry and conservation laws. You'll also learn how the theory is extended to continuous fields, currently understood to be the most fundamental objects in nature.
|
| Content: | Lagrangian formulation of classical mechanics. Calculus of variations. Hamilton's principle of least action. Symmetry and conservation laws: Noether's theorem. Hamiltonian dynamics. (Poisson brackets.) Small oscillations. Continuous systems and fields; classical field theory including Klein Gordon field, symmetries and currents.
|
| Course availability: |
PH32012 is Compulsory on the following courses:
Department of Physics
- USPH-AFB24 : BSc(Hons) Physics with Theoretical Physics (Year 3)
- USPH-AAB16 : BSc(Hons) Physics with Theoretical Physics with Study year abroad (Year 4)
- USPH-AKB16 : BSc(Hons) Physics with Theoretical Physics with Year long work placement (Year 4)
- USPH-AFM20 : MPhys(Hons) Physics (Year 3)
- USPH-AAM12 : MPhys(Hons) Physics with Study year abroad (Year 4)
- USPH-AKM03 : MPhys(Hons) Physics with Professional Placement (Year 4)
- USPH-AKM04 : MPhys(Hons) Physics with Professional and Research Placements (Year 4)
- USPH-AFM21 : MPhys(Hons) Physics with research placement (Year 3)
- USPH-AAM13 : MPhys(Hons) Physics with Study year abroad and Research Placement (Year 4)
- USPH-AFM24 : MPhys(Hons) Physics with Theoretical Physics (Year 3)
- USPH-AAM16 : MPhys(Hons) Physics with Theoretical Physics with Study year abroad (Year 4)
- USPH-AKM16 : MPhys(Hons) Physics with Theoretical Physics with Professional Placement (Year 4)
- USPH-AKM17 : MPhys(Hons) Physics with Theoretical Physics with Professional and Research Placements (Year 4)
- USPH-AFM25 : MPhys(Hons) Physics with Theoretical Physics with research placement (Year 3)
- USPH-AAM17 : MPhys(Hons) Physics with Theoretical Physics with Study year abroad and Research Placement (Year 4)
PH32012 is Optional on the following courses:
Department of Physics
- USPH-AFB26 : BSc(Hons) Mathematics and Physics (Year 3)
- USXX-AAB04 : BSc(Hons) Mathematics and Physics with Study year abroad (Year 4)
- USXX-AKB04 : BSc(Hons) Mathematics and Physics with Year long work placement (Year 4)
- USPH-AFB20 : BSc(Hons) Physics (Year 3)
- USPH-AAB02 : BSc(Hons) Physics with Study year abroad (Year 4)
- USPH-AKB02 : BSc(Hons) Physics with Year long work placement (Year 4)
- USPH-AFB22 : BSc(Hons) Physics with Astrophysics (Year 3)
- USPH-AAB10 : BSc(Hons) Physics with Astrophysics with Study year abroad (Year 4)
- USPH-AKB10 : BSc(Hons) Physics with Astrophysics with Year long work placement (Year 4)
- USPH-AFM22 : MPhys(Hons) Physics with Astrophysics (Year 3)
- USPH-AAM14 : MPhys(Hons) Physics with Astrophysics with Study year abroad (Year 4)
- USPH-AKM10 : MPhys(Hons) Physics with Astrophysics with Professional Placement (Year 4)
- USPH-AKM11 : MPhys(Hons) Physics with Astrophysics with Professional and Research Placements (Year 4)
- USPH-AFM23 : MPhys(Hons) Physics with Astrophysics with research placement (Year 3)
- USPH-AAM15 : MPhys(Hons) Physics with Astrophysics with Study year abroad and Research Placement (Year 4)
- USPH-AFM26 : MSci(Hons) Mathematics and Physics (Year 3)
- USXX-AAM01 : MSci(Hons) Mathematics and Physics with Study year abroad (Year 4)
- USXX-AKM01 : MSci(Hons) Mathematics and Physics with Year long work placement (Year 4)
|
Notes: - This unit catalogue is applicable for the 2025/26 academic year only. Students continuing their studies into 2026/27 and beyond should not assume that this unit will be available in future years in the format displayed here for 2025/26.
- 好色tv and units are subject to change in accordance with normal University procedures.
- Availability of units will be subject to constraints such as staff availability, minimum and maximum group sizes, and timetabling factors as well as a student's ability to meet any pre-requisite rules.
- Find out more about these and other important University terms and conditions here.
|
