Master's Programme in Theoretical and Computational Methods

Description

Target group

Master’s Programme in Theoretical and Computational Methods is responsible for the course.

Modules where the course belong to:

TCM300 Advanced Studies in Theoretical and Computational Methods

PAP300 Advanced Studies in Particle Physics and Astrophysical Sciences Optional for:

Study Track in Particle Physics and Cosmology

The course is available to students from other degree programmes.

Timing

The course is offered in the spring term, during III period.

Learning outcomes

The student knows the formalism on non-relativistic quantum mechanics. The student can apply perturbation theory and other approximation methods to time-dependent perturbations and scattering problems in atomic, nuclear and condensed matter physics. The student understands the assumptions underlying different approximations and can estimate the range of validity of different approximation methods within the considered context. The student can couple three angular momenta, knows spherical tensor operators and can apply Wigner-Eckart theorem.

Completion methods

Course is completed either by submitted exercise problems and additional exam problems or alternatively by a final exam.

Prerequisites

Quantum mechanics I, Electrodynamics I and II, Mathematical methods in physics IIa and IIb (or equivalent)

Contents

Time dependent perturbation theory, Fermi's Golden rule, sudden and adiabatic approximations.

Scattering theory: construction of Lippmann-Schwinger equation and its solution in Born approximation.

Coupling of angular momenta, spherical tensor operators and Wingner-Eckart theorem.

Path integral formulation of quantum mechanics

Study materials and literature

Sakurai: Advanced quantum mechanics.

Activities and teaching methods in support of learning

Weekly lectures, independent work of the student, solutions to exercises will be submitted weekly and graded by the teaching assistant. The exercise problems are solved working in groups in tutored exercise sessions and also independently.

Assessment practices and criteria

The grade is determined in a way agreed in the beginning of the course.