Teaching

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

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)

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 Ordering

Previous 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)