MAU34403 Quantum mechanics I

Module Code	MAU34403
Module Title	Quantum mechanics I
Semester taught	Semester 1
ECTS Credits	5
Module Lecturer	Prof. Sergey Frolov
Module Prerequisites	MAU23402 Advanced classical mechanics II

This module is examined in a 2-hour examination at the end of Semester 1.
Continuous assessment contributes 10% towards the overall mark.
The module is passed if the overall mark for the module is 40% or more. If the overall mark for the module is less than 40% and there is no possibility of compensation, the module will be reassessed as follows:
1) A failed exam in combination with passed continuous assessment will be reassessed by an exam in the supplemental session;
2) The combination of a failed exam and failed continuous assessment is reassessed by the supplemental exam;
3) A failed continuous assessment in combination with a passed exam will be reassessed by one or more summer assignments in advance of the supplemental session.
Capping of reassessments applies to Theoretical Physics (TR035) students enrolled in this module. See full text at https://www.tcd.ie/teaching-learning/academic-affairs/ug-prog-award-regs/derogations/by-school.php Select the year and scroll to the School of Physics.

11 weeks of teaching with 3 lectures and 1 tutorial per week.

On successful completion of this module, students will be able to

Mathematics of quantum mechanics: Bras and kets, Spin-1/2 representation of su(2), Hilbert spaces, creation and annihilation operators, Hermitian operators, tensor product, coordinate representation and momentum representation of the Heisenberg algebra.
Postulates of quantum mechanics: States, observables, measurements, probabilities and amplitudes, quantum dynamics, the Heisenberg picture and the Schrödinger picture, symmetries in quantum mechanics.
Simple problems in various dimensions: Free particles, harmonic oscillator, bounded potential in one dimension, scattering in one dimension, separation of variables, Pauli equation, charged particle in a magnetic field, Aharonov-Bohm effects.
Angular momentum and central field: Irreducible representations of su(2), tensor product of irreducible representations, orbital angular momentum eigenfunctions, radial Schrödinger equation, Gross structure of hydrogen.