PH30125: Advanced classical mechanics
[Page last updated: 15 November 2024]
| Academic Year: | 2024/25 |
| Owning Department/School: | Department of Physics |
| Credits: | 6 [equivalent to 12 CATS credits] |
| Notional Study Hours: | 120 |
| Level: | Honours (FHEQ level 6) |
| Period: |
- Semester 2
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| Assessment Summary: | EXCB 100% |
| Assessment Detail: | |
| Supplementary Assessment: |
- Like-for-like reassessment (where allowed by programme regulations)
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| Requisites: |
Before taking this module you must ( take PH10004 OR take MA10236 ) AND ( take PH10103 OR take PH20076 OR take PH20106 OR take PH20114 ) AND ( take PH20013 OR take PH20060 )
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| 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.
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| Aims: | The aim of this unit is to develop students' understanding of the Lagrangian and Hamiltonian formalisms of classical mechanics, and the classical theory of fields.
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| Skills: | Numeracy T/F A, Problem Solving T/F A.
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| 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.
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| Course availability: |
PH30125 is Compulsory on the following courses:
Department of Physics
- USPH-AFB16 : BSc(Hons) Physics with Theoretical Physics (Year 3)
- USPH-AFM16 : MPhys(Hons) Physics with Theoretical Physics (Year 3)
- USPH-AFM17 : MPhys(Hons) Physics with Theoretical Physics with Research placement (Year 3)
PH30125 is Optional on the following courses:
Department of Physics
- USXX-AFB03 : BSc(Hons) Mathematics and Physics (Year 3)
- USPH-AFB01 : BSc(Hons) Physics (Year 3)
- USPH-AFB10 : BSc(Hons) Physics with Astrophysics (Year 3)
- USPH-AFM02 : MPhys(Hons) Physics (Year 3)
- USPH-AFM04 : MPhys(Hons) Physics with Research placement (Year 3)
- USPH-AFM10 : MPhys(Hons) Physics with Astrophysics (Year 3)
- USPH-AFM11 : MPhys(Hons) Physics with Astrophysics with Research placement (Year 3)
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Notes: - This unit catalogue is applicable for the 2024/25 academic year only. Students continuing their studies into 2025/26 and beyond should not assume that this unit will be available in future years in the format displayed here for 2024/25.
- Courses 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.
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