Advanced quantum mechanics

Description

This involves applying quantum mechanics to modern problems, in particular particle collisions and calculations of scattering cross sections.

Compétences visées

•    Applying knowledge in physics;

•    Apply methods from mathematics and digital technology;

•    Produce a critical analysis, with hindsight and perspective;

•    Interact with colleagues in physics and other disciplines;

•    Research a physics topic using specialised resources;

•    Communicate in writing and orally, including in English.

Syllabus

I-General properties of bound and collision states for a realistic one-dimensional potential;

II-General properties of bound and collision states for a central potential;

III-Description of a two-body collision, centre-of-mass reference frame;

IV-Definition of the differential and total cross section in the case of elastic scattering;
Phase shift method;

V-Mathematical properties of the S matrix. Interpretation of resonant states;

VI-Special case of the rectangular attractive potential calculates bound states of phase shifts.

VII-Verification of Levinson's theorem.

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