Classical mechanics II Course page

Location

Leiden University

Description

Content of the course:

1. Generalised Variables
2. Lagrangian formalism
3. Conservation Laws and Noether theorems
4. Hamiltonian formalism
5. Phase Space

Suggested literature for the whole course

1. "Classical Mechanics" by H. Goldstein 3rd edition
2. "Mechanics" by L. Landau and E. Lifshitz
3. "Analytical Mechanics" by G.R. Fowles and G.L. Cassiday 6th or 7th edition (Thomson Learning, inc., 1999), ISBN 9780534408138.

Literature for particular parts of the course

1. Introduction to Lagrange formalism
   • Fowles Cassiday 7th edition: 10.1 - 10.5
   • Landau Lifshitz v.1, 2nd edition: sections 1-5.
   • Goldstein: 2.1-2.3
2. Conservation Laws
   • Fowles Cassiday 7th edition: 10.6
   • Landau Lifshitz v.1, 2nd edition: sections 6-10
   • Goldstein "Classical mechanics", 3rd editon: 2.6, 2.7
3. Constrained systems:
   • Fowles Cassiday 7th edition: 10.7, 10.8
   • Goldstein "Classical mechanics", 3rd editon: 1.3
4. Hamiltonian Formalism
   • Fowles Cassiday 7th edition: 10.9
   • Landau Lifshitz v.1, 2nd edition: section 40
   • Goldstein "Classical mechanics", 3rd editon: 8.1, 8.2
5. Special Relativity
   • Goldstein "Classical mechanics", 3rd editon: 7.1-7.2, 7.4, 7.6, 7.9, 7.10

Pre-course test

1. Test

Previous lectures

1. Lecture 1
• Homework 1
2. Lecture 2
3. Lecture 3
4. Lecture 4
5. Lecture 5

Particle Physics and Early Universe Course page

Location

Leiden University

Description

This course will discuss how particle physics defines physics of the early universe, the subsequent cosmological scenario and the current state of the universe. Starting with basics of the Standard Model of particle physics (SM), we will see how the whole intricate structure of this theory exhibits itself in a hot and dense, quickly expanding universe. We will demonstrate that this allows to use astrophysical and cosmological observational data to check the SM. The next part will discuss the shortcomings of the Standard Model and different approaches to resolve them: top-down (theory-based) and bottom-up (phenomenology-based), as well as implications of this beyond the SM physics for the early universe (most importantly: the nature of dark matter, dark energy, mechanisms of baryogenesis and inflation).

Lecture notes (2015)

1. Lecture 1
2. Lecture 2
3. Lecture 3
4. Lecture 4
5. Lecture 5
6. Lecture 6
7. Lecture 7
8. Lecture 8
9. Lecture 9

Previous lectures (2014)

1. Lecture 1
2. Lecture 2
3. Lecture 3
4. Lecture 4
5. Lecture 5
6. Lecture 6

Literature:

1. "The primordial density perturbation" by D.H.Lyth and A.R.Liddle, CUP ’09;
2. "Introduction to the Theory of the Early Universe: Hot Big Bang Theory" by D.Gorbunov & V.Rubakov, World Scientific, 2010;
3. arxiv:hep-ph/0004188 by J.Garcia-Bellido;
4. "Principles of physical cosmology" by P.J.E. Peebles, Princeton University Press, 1993;
5. "Physical foundations of cosmology" by V.Mukhanov, Cambridge University Press, 2005.

Topics in Theoretical Physics: DITP lectures (March 2018) Series page

Location

Leiden University

Huygens Laboratory HL211 on March 12th; Huygens Laboratory HL226 on the remaining days

Description

The module focuses on spontaneous symmetry breaking and Higgs mechanism in the Standard Model. The students will learn:

• how and why the SU(2)xU(1) symmetry was introduced, what are its direct phenomenological manifestations
• the interplay between the chiral structure of the SM and Higgs mechanism
• anomaly cancelation in the Standard Model
• the differences in the structure of mass matrices of leptons and quarks, the origin and phenomenological manifestation of CP violation, relation with baryo and lepto genesis.

Course materials

• Spontaneous symmetry breaking in particle physics
  • Homework 1
• Examination question
  
  • Send replies to: Alexey Boyarsky <boyarsky  AT  lorentz.leidenuniv.nl>
  • Deadline for submission: March 18, 2018 23:59