- Bachelor - Toegepaste quantummechanica
Cursus
191411291
Voertaal
Nederlands
Inhoud
Er zijn maar weinig exact oplosbare problemen in de quantummechanica. Daarom is het nodig om methoden te ontwikkelen waarmee fysisch relevante systemen benaderd kunnen worden. In dit college wordt een aantal methoden behandeld die ons hiertoe in staat stelt: tijdsonafhankelijk en tijdsafhankelijke storingstheorie, variatieprincipe, verstrooiingstheorie, alsmede een aantal illustratieve toepassingen.
Voorkennis: Noodzakelijk
191411281 Inleiding quantummechanica
Voorkennis: Gewenst
Basisvakken wiskunde,
191511240 Lineaire analyse
Deelnemede opleiding(en)
B-TN; M-AP
Aanbevolen materiaal:
Introduction to Quantum Mechanics (2nd ed. Prentice Hall)
D.J. Griffiths
HC docent:
prof.dr. P.J. Kelly
WC docent:
dr. J.W.J. Verschuur
Werkvormen
Hoorcollege, werkcollege, zelfstudie
Toesen
Tentamen
Opmerking
Huiswerk (bonuspunten) en exam
- Master - Applied quantum mechanics
Course module
191411291
Language
Dutch (English on demand)
Content
Not many problems can be solved exactly in quantum mechanics making it essential to develop approximation methods in order to address a vast range of physical problems in, for example, Quantum Optics and Condensed Matter Physics. In this course, a number of the most important approximation methods will be introduced and illustrated with applications to
- the fine and hyperfine structure of Hydrogen,
- the structure of the periodic table of the elements
- the ground states of Helium and of the Hydrogen molecule
- the interaction of light with matter
- Berry's phase
- Bell's theorem.
Previous Knowledge: Required
191411281 Introduction to Quantum Mechanics (Inleiding quantummechanica)
Previous Knowledge: Desired
Standard basic mathematics
191511240 Linear Analysis (Lineaire analyse)
Participating Degree Courses
B-TN; M-AP
Course materials: Required
Course materials: Recommended
Quantum Mechanics (2nd ed. Prentice Hall)
B.H. Bransden & C.J. Joachain
Lecturer
prof.dr. P.J. Kelly
Tutor
dr. J.W.J. Verschuur
Lectures, tutorials, self-study
Evaluation
Written exam
Remarks
Homework (bonus points)
- Master - Theoretical Solid State Physics
Course module
193510040
Language
English (Dutch on demand)
Content
This course builds on 191420020 (Introduction to Solid State Physics), treating the material in more detail and extending the scope to cover a number of additional topics:
- Tight-binding method
- Semiclassical Transport Theory
- Magnetism
The emphasis of the course is on operationalizing the theoretical material treated in the lectures by doing homework. This is corrected and the mark contributes to the final mark. The course is based upon the following chapters of "Solid State Physics" by Ashcroft & Mermin, supplemented with lecture notes:
§1 The Drude Theory of Metals
§2 The Sommerfeld Theory of Metals
§3 Failures of the Free Electron Model
§10 The Tight-Binding Method
§12 The Semiclassical Model of Electron Dynamics
§13 The Semiclassical Theory of Conduction in Metals
§14 Measuring the Fermi Surface
§15 Band Structure of Selected Metals
§16 Beyond the Relaxation-Time Approximation
§17 Beyond the Independent Electron Approximation
§31 Diamagnetism and Paramagnetism
§32 Electron Interactions and Magnetic Structure
§33 Magnetic OrderingPrevious Knowledge: Required
191411281 Introduction to Quantum Mechanics (Inleiding quantummechanica)
191411281 Introduction to Solid State Physics (Inleiding vastestoffenfysica)
Previous Knowledge: Desired
191411291 Applied Quantum Mechanics (Toegepaste Quantummechanica)
Participating Degree Courses
M-AP
Course materials: Required
Solid State Physics (Holt-Saunders)
N.W. Ashcroft & N.D. Mermin
Lecturer
prof.dr. P.J. Kelly
Tutor
Lectures, exercise classes, homework
Evaluation
Homework (2/3), Final exercise (1/3)