MAS324 Milestones in Applied Mathematics II: Quantum Theory
|Semester 2, 2017/18||10 Credits|
|Lecturer:||Dr Eun-jin Kim||Reading List|
The development of quantum theory revolutionized both physics and mathematics during the 20th century. The theory has applications in many technological advances, including: lasers, super-conductors, modern medical imaging techniques, transistors and quantum computers. This course introduces the basics of the theory and brings together many aspects of mathematics: for example, probability, matrices and complex numbers. Only first year mechanics is assumed, and other mathematical concepts will be introduced as they are needed.
Prerequisites: MAS112 (Vectors and Mechanics)
Not with: PHY202 (Quantum Mechanics)
No other modules have this module as a prerequisite.
- Historical introduction: Brief introduction to the experiments leading to the development of quantum theory and motivation of Schrodinger's equation.
- Simple quantum systems: Particle in an infinite potential well, stationary states, expectation values, conservation of probability; simple scattering, potential step, potential barrier, finite potential well; 2-D potential well, degeneracy; finite-dimensional quantum systems.
- Mathematical aspects of quantum theory: Position and momentum operators; commutation relations; uncertainty principle; quantum simple harmonic oscillators
- To introduce the subject of quantum mechanics;
- To study simple quantum systems;
- To introduce some of the historical aspects of the subject.
20 lectures, no tutorials
One formal 2 hour written examination.
|B||Bransden and Joachain||Introduction to Quantum Mechanics||530.12 (B)||Blackwells||Amazon|
|B||Davies||Quantum Mechanics||530.12 (D)||Blackwells||Amazon|
|B||Rae||Quantum Mechanics||530.12 (R)||Blackwells||Amazon|
(A = essential, B = recommended, C = background.)
Most books on reading lists should also be available from the Blackwells shop at Jessop West.