PHYS6003 Advanced Quantum Physics
This course will cover advanced topics of quantum mechanics including postulates of quantum mechanics, tools of quantum mechanics, Dirac notation, Simple Harmonic oscillator (studied using raising and lowering operators), orbital and spin angular momentum (studied using raising and lowering operators), Non-locality and the Bell inequalities, Quantum cryptography (distributing secure keys), and the basic ideas of Quantum computing (qubits, quantum teleportation)
Aims and Objectives
The aim of this course is to consolidate and extend your knowledge of quantum mechanics by introducing more theoretical tools and some more advanced applications.
Knowledge and Understanding
Having successfully completed this module, you will be able to demonstrate knowledge and understanding of:
- Be able to work with operators and states using Dirac's bra and ket notation
- Study the simple harmonic oscillator using raising and lowering operators
- Understand quantum angular momentum, including spin, and analyse it using raising and lowering operators
- Understand non-locality and the Bell inequalities, and apply the concepts to cryptographic key exchange
- Understand qubits and some basic ideas in quantum computation
- Postulates of quantum mechanics - Tools of quantum mechanics (vector spaces, operators and states) - Dirac notation - Simple Harmonic oscillator (studied using raising and lowering operators) - Orbital and spin angular momentum (studied using raising and lowering operators) - Adding angular momenta - Non-locality and the Bell inequalities - Quantum cryptography (distributing secure keys) - Basic ideas of Quantum computing (qubits, quantum teleportation)
Learning and Teaching
|Preparation for scheduled sessions||18|
|Wider reading or practice||61|
|Completion of assessment task||7|
|Total study time||150|
Resources & Reading list
RP Feynman et al (1970). Feynman Lectures on Physics.
JJ Sakurai (1994). Modern Quantum Mechanics.
S Gasiorowicz (1996). Quantum Physics.
R Shankar (1994). Principles of Quantum Mechanics.
Four problem sheets will be set, with the best two being counted. In an instance where a student may miss submitting one or two problem sheets, those sheets 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+ problem sheets through illness, let’s say. The submitted Self Certification forms may be considered as evidence for potential Special Considerations requests. In the event that a third (or higher) problem sheet is missed, students will be required to go through the Special Considerations procedures in order to request mitigation for that problem sheet. Please note that documentary evidence will normally be required before these can be considered
|Exam (2 hours)||90%|
|Coursework marks carried forward||%|
Repeat type: Internal & External