Old programmes and archive of old homepages with exercises

Updated by Anna-Stiina Sirviö

• Period I: weeks 36-42, 1.9. - 19.10.
• Period II: weeks 44-50, 27.10. - 14.12.
• Period III: weeks 3-9, 12.1. - 1.3
• Period IV: weeks 11-18, 9.3. - 3.5.
  

• Physicum Building (Gustaf Hällströmin katu 2a)

Notices:

537381 Äidinkieli (LuK-seminaari) (3 ECTS cr).
Mon 10-12 in A315.
Supervisor Paula Eerola. First meeting 12.1.

53052 Acoustics (Akustiikka) (5 ECTS cr), period IV.
Mon 8-10, Fri 14-16 in D116. Lecturer Leo Kärkkäinen. First lecture 16.3.
Exercises (2 hours/week)

The course introduces both the fundamental concepts of acoustics and its applications. Prerequisites: Basic studies in Physics, Mathematical Methods of Physics (FYMM) I-II and Scientific Computing I-II.

Kosmologian kesäkoulu 18.-22.5.2009

Lectures in autumn 2008 (spring 2009)

Basic courses

53705 Mathematics for Physicists (MAPU) II (8 ECTS cr), period II.
Tue, Thu 12-14 in D101. Lecturer Ossi Pasanen. First lecture 28.10.
Exercises (4 hours/week) see MAPU I.

An introductory course on mathematical methods for physicists. Complex numbers. Ordinary differential equations in single variable. Vector analysis. Multivariable calculus. Linear transformations and matrix algebra. Literature: Lecturer's notes (available in PDF format). Supplementary reading will be recommended on lectures.

Intermediate courses

53724 Mathematical Methods of Physics (FYMM) Ib (5 ECTS cr), period II.
Wed 8-10, Fri 10-12 in E204. Lecturer Juha Honkonen. First lecture 29.10.
Exercises (2 hours/week) see FYMM Ia.

Analytic continuation. Euler Gamma function, Euler Beta function. Asymptotic expansions. Fourier series. Fourier integral and Fourier transform. Laplace integral and Laplace transform. Mellin transform. Distributions and Dirac delta function. Recommended for 2nd year theoretical physics students, 3rd for experimental physics students. Prerequisites: Mathematical Methods of Physics Ia. Literature: J. Honkonen: Fysiikan matemaattiset menetelmät I, 2. painos, Limes 2005, or G.B. Arfken and H.J. Weber: Mathematical Methods for Physicists, 5th ed., Academic Press 2001.

53714 Classical Mechanics (Klassinen Mekaniikka) (10 ECTS cr).
Mon, Thu 10-12 in E204. NB! Lecturer Esa Kallio. First lecture 1.9.
Exercises (2 hours/week) Thu 16-18 in D114, Fri 12-14 in D114, 14-16 D112 (Tomi Paananen, Ossi Saresoja).

An undergraduate course in classical analytical mechanics. Review of Newtonian mechanics. Central forces. Lagrangian mechanics. Linear and nonlinear oscillations. Non-inertial coordinate systems. Motion of rigid bodies. Canonical Hamiltonian formalism. Classical chaos. Recommended for 2nd or 3rd year theoretical physics and 3rd or 4th year experimental physics students. Prerequisites: Mathematics for Physicists I-II or Basic stuides in Mathematics. Literature: Lecture notes, R. Keskinen: Analyyttinen mekaniikka, Limes 1996, H. Goldstein: Classical Mechanics, Addison-Wesley (several editions).

53716 Quantum Mechanics I (Kvanttimekaniikka I) (10 ECTS cr).
Mon, Wed 12-14 in E207. Lecturer Jouni Niskanen. NB! First lecture 8.9.
Exercises (2 hours/week) Tue 14-16, 16-18 in D104, Wed 8-10 in D114 (Janne Alanen, Vappu Reijonen).

The first course in theoretical quantum mechanics. The general structure of quantum physics. Simple one and three dimensional systems in wave mechanics, postulates of quantum mechanics and Dirac's formalism, operator formulation of the harmonic oscillator. Rotations and angular momentum. Spherically symmetric bound state problems; the hydrogen atom. Bound state approximation methods. Scattering theory, time dependent perturbation theory. Coupling to the electromagnetic field. Identical particles. The interpretation of quantum mechanics. Recommended for 3rd year theoretical physics students, 4th year experimental physics students. Prerequisites: Mathematical Methods of Physics I-II. Literature: C. Cronström and C. Montonen: Johdatus kvanttimekaniikkaan, Limes 1996, Alistair M. Rae: Quantum Mechanics (IOP Publishing, 4th ed.), David J. Griffiths: Introduction to Quantum Mechanics (Prentice Hall).

537381 Äidinkieli (LuK-seminaari) (3 ECTS cr).
In period I Mon 10-12 and in period II Fri 14-16 in D114. No meeting on Mon 6.10., extra meeting on Fri 3.10 in D114.
Supervisor Paula Eerola. First meeting 15.9

Advanced (Master's level) courses

53738 Advanced studies Seminar (Teoreettisen fysiikan syventävien opintojen seminaari) (5 ECTS cr, whole year).
Tue 14-16 in A315, starting 2.9. Supervisor Hannu Kurki-Suonio.

Seminars given by students on subjects of their own choice. Two own talks with write-up and sufficient presence required.

Postgraduate courses

Special courses in the Advanced studies (Master's level) and Postgraduate program

53757 Cosmology I (Kosmologia I) (5 ECTS cr), period I.
Mon, Thu 14-16 in A315. Lecturer Hannu Kurki-Suonio. NB! First lecture 8.9.
Exercises (2 hours/week) Fri 10-12 in A315 (Torsti Poutanen).

53758 Cosmology II (Kosmologia II) (5 ECTS cr), period II.
Mon, Thu 14-16 in A315. Lecturer Hannu Kurki-Suonio. First lecture 27.10.
Exercises (2 hours/week) see Cosmology I.

53765 Plasma Physics (Plasmafysiikka) (5 ECTS cr), period I.
Mon, Thu 12-14 in D106. Lecturer Emilia Kilpua. First lecture 4.9.
Exercises (2 hours/week) Fri 14-16 D116 (Neus Agueda).

53769 Space Applications of Plasma Physics (Plasmafysiikan avaruussovellutuksia) (5 ECTS cr), period II.
Mon, Thu 12-14 in D106. Lecturer Emilia Kilpua. First lecture 27.10.
Exercises (2 hours/week) Fri 14-16 D116 (Neus Agueda).

53251 Theoretical Particle Physics (Hiukkasfysiikan teoriat) (6 sw, 10 ECTS cr).
Tue, Wed 16-18 in A315. In period 20.11.-04.12. also Thu 16-18. Lecturer Masud Chaichian. First lecture 16.9.
Exercises (2 hours/week) (Tapio Salminen).

An advanced course in quantum field theory. Global and local (gauge) invariance, gauge fields, spontaneous symmetry breaking (Higgs mechanism), quantum theory of gauge fields - path integral formalism, gauge theory of electroweak interactions, quantum electrodynamics, weak interactions, renormalization, renormalization group equations, gauge theory of strong interactions, QCD, grand unified theories. Prerequisites: Quantum Mechanics I; recommended: Introduction to Particle Physics, Introduction to Quantum Field Theory, Path Integrals, Quantum Mechanics II. Literature: Lecture notes, M. Chaichian and N.F. Nelipa: Introduction to Gauge Field Theories, Springer-Verlag 1984, T.-P. Cheng and L.-F. Li: Gauge Theory of Elementary Particle Physics, Clarendon Press, Oxford 1984, M. Peskin and D. Schroeder: An Introduction to Quantum Field Theory, Addison-Wesley 1995.

530220 QCD and Hadron Structure (7 ECTS cr).
Mon 12-14 in A315. Lecturer Paul Hoyer. First lecture 8.9.
Exercises (2 hours/week) Mon 16-18 in A315.

This is a research training course, which aims at teaching research strategy as well as specific topics in Quantum Chromodynamics. QCD is the accepted theory of the strong interactions whose basic properties remain to be understood. Why are quarks and gluons not directly observed (like electrons and photons)? How can the structure of hadrons, the bound states of quarks and gluons, be measured experimentally? The course will motivate and describe some of the approaches that are used to address these basic issues: Quark and parton models, deep inelastic lepton scattering as well as soft and hard hadron scattering. Relevant mathematical techniques will be covered in the exercises. Prerequisites: Quantum Mechanics II. Introduction to Particle Physics and Theoretical Particle Physics are important.

530057 Introduction to Quantum Field Theory (10 ECTS cr).
Tue, Wed 12-14 in A315. In period 20.11.-4.12. also 10-12 in D106. Lecturer Anca Tureanu. First lecture 16.9.
Exercises (2 hours/week) (Andrea Ferrantelli).

The course provides an introduction to Quantum Field Theory. Topics covered include: Brief review of classical field theory and representations of the Poincare group; Canonical quantization of fields; Creation and annihilation operators for Bose and Fermi fields; Interacting fields; S-matrix; Perturbation theory and Feynman diagrams; Renormalizations; Applications to quantum electrodynamics. Prerequisites: Quantum Mechanics I; recommended Quantum Mechanics II. Literature: Lecture notes, F. Mandl, G. Shaw: Quantum Field Theory, John Wiley and Sons Ltd, 1993, M.E. Peskin, D.V. Schroeder: An Introduction to Quantum Field Theory, Addison-Wesley, 1995, S. Weinberg: The Quantum Theory of Fields, Vol. I, Foundations, Cambridge University Press, 1995.

53797 Supersymmetry (Supersymmetria) (7 ECTS cr).
Wed 14-16 in A315. Lecturer Katri Huitu. First lecture 3.9.
Exercises (2 hours/week) Thu 14-16 D116 (Tuomas Honkavaara).

53745 Potential Theory for Space Physics (5 ECTS cr), period I.
Tue 12-14, Wed 14-16 in D105. Lecturer Olaf Amm. First lecture 2.9.

The aspects of potential theory presented in this lecture mainly deal with how fields can be described by potentials, what properties of the fields follow from these descriptions, and how we can use these properties to calculate or model fields when only a limited amount of information is available by measurements. The examples are mostly centered around magnetic fields in space; however, the same theory can also be used for electric and gravity fields, and it can very similarly be applied to problems in, e.g., applied geophysics, geology, or astrophysics. Recommended for 3rd year or later. Prerequisites: General electrodynamics and mechanics. Literature: E.g., R. Blakely: Potential Theory in Gravity and Magnetic Applications, Cambridge Univ. Press 1996 (ISBN: 0521575478). (Note: The course will not follow exclusively any single book.)

Readings in Contemporary Cosmology (2 ETCS cr), period II.
Thu 15-17 in A311 (HIP coffee room). Lecturer Gerasimos Rigopoulos. First lecture 30.10.

The course will develop themes of modern theoretical Cosmology by focusing on recently published research papers. The students will be required to read pre-assigned topical papers - approximately one per week - and then follow and participate in a presentation expanding upon the topic of each paper. Hopefully this will serve as a platform for exploring areas of interest in contemporary Cosmology as well as acquainting the students with the process of reading original research literature.

53363 Johdatus atomistisiin simulaatiomenetelmiin (5 ECTS cr.)
Wed 12-14 in D116. Lecturer Antti Kuronen.

Lectures can be given in English.

Lectures in spring 2009 (autumn 2008)

Basic courses

530000 Fundamentals of Relativity (Suhteellisuusteorian perusteet) (4 ECTS cr), period III.
Mon, Tue 12-14 in D101. Lecturer Kari Enqvist. First lecture 13.1.
Exercises (1 hour/week) Mon 11-12 in D112, 14-15 in E207, 15-16 in E207, Tue 9-10 in D112 (Reijo Keskitalo).

The course presents the basics of the special theory of relativity and gives a qualitative introduction to the general theory. Prerequisites: school physics and mathematics. Literature: J. Maalampi and T. Perko: Lyhyt modernin fysiikan johdatus, Limes 1999 or 2002. Lectures and example classes will be given in Finnish only.

53703 Modern Physics (MOFY) (5 ECTS cr), period IV.
Mon, Tue 12-14 in D101. Lecturer Kari Enqvist. First lecture 9.3.
Exercises see Fundamentals of Relativity (Suhteellisuusteorian perusteet).

An introductory course on quantum and particle physics on a semi-popular level. Prerequisites: school physics and mathematics. Literature: The lectures are not based on any single book, but J. Maalampi and T. Perko: Lyhyt modernin fysiikan johdatus, Limes 1999 or 2002, will be useful. Lectures and example classes will be given in Finnish only.

Intermediate courses

53726 Mathematical Methods of Physics (FYMM) IIb (5 ECTS cr), period IV.
Tue 12-14, Wed 10-12 in E204. Lecturer Claus Montonen. First lecture 10.3.
Exercises (2 hours/week) See course IIa!

Calculus of variations. Vector spaces. Banach and Hilbert spaces. The Sturm-Liouville problem. Operators. Spectral theory. Recommended for 2nd year theoretical physics students and 3rd year experimental physics students. Prerequisites: Mathematical Methods of Physics Ia, Ib and IIa. Literature: C. Cronström: Fysiikan matemaattiset menetelmät II, Limes 2006.

53715 Electrodynamics (Elektrodynamiikka) (10 ECTS cr).
Mon, Thu 10-12 in E204. Lecturer Elina Keihänen, Esa Kallio. First lecture 12.1.
Exercises (2 hours/week) Thu 8-10 in D112, Fri 12-14 in D112 (Ossi Saresoja, Heikki Ristolainen).

Electrostatics, boundary-value problems, macroscopic electromagnetic behaviour of isotropic insulators. Conductors and magnetic materials. Maxwell equations and their applications to electromagnetic waves and wave propagation and other fields of physics; radiation field. Lectures in Finnish, exercise problems also in English, if needed. Prerequisites : Mathematical Methods of Physics Ia-Ib. Literature: Lecture notes by H. Koskinen and A. Viljanen (distributed through the course home page, in Finnish). Other literature C. Cronström, P. Lipas : Johdatus elektrodynamiikkaan ja suhteellisuusteoriaan, Limes 2000, R.P. Feynman, R.B. Leighton & M. Sands: The Feynman Lectures on Physics, Vol. II, Addison-Wesley 1964, or J.R. Reitz, F.J. Milford and R.W. Christy: Foundations of Electromagnetic Theory, 4th ed., Addison-Wesley 1993.

53727 Statistical Physics I (Statistinen fysiikka I) (10 ECTS cr)
Wed 8-10, Fri 10-12 in D112. Lecturer Esko Keski-Vakkuri. First lecture 14.1.
Exercises (2 hours/week) (Lotta Mether).

Principles of thermodynamics, thermodynamic potentials. Applications of thermodynamics. Principles of classical and quantum mechanical ensemble theory, equilibrium ensembles. Ideal systems: free spin system, classical ideal gas, boson and fermion statistics. Bosonic and fermionic systems. Phase transitions. Recommended for 3rd-4th year theoretical physics students, 4th-5th year experimental physics students. Prerequisites: Quantum Mechanics I. Literature: J. Arponen and J. Honkonen: Statistinen fysiikka, Limes 2000.

537381 Äidinkieli (LuK-seminaari) (3 ECTS cr).
Mon 10-12 in A315.
Supervisor Paula Eerola. First meeting 12.1.

Advanced (Master's level) courses

53717 Quantum Mechanics II (Kvanttimekaniikka II) (10 ECTS cr).
Mon, Wed 12-14 in A315. Lecturer Paul Hoyer. First lecture 12.1.
Exercises (2 hours/week) Mon 16-18 in A315 (Samu Kurki).

An advanced course in quantum mechanics: Review of basic formalism. Quantum information. Path integrals. Gauge invariance. The rotation group and angular momentum. Parity and time reversal. Density matrix. Field ('second') quantization. Relativistic quantum dynamics. Relativistic quantum field theory. Recommended for 3rd year theoretical physics students, 4th-5th year experimental physics students. Prerequisites: Quantum Mechanics I, Mathematical Methods of Physics I, II and III (recommended). Literature: J.J. Sakurai, S.-F. Tuan (Editor): Modern Quantum Mechanics, rev. ed., Addison-Wesley 1994, J.A. Niskanen: Kvanttimekaniikka II, 2. ed., Limes 2003, I.J.R. Aitchison and A.J.G. Hey: Gauge Theories in Particle Physics, 3rd ed., IoP Publishing 2003.

53738 Advanced studies Seminar (Teoreettisen fysiikan syventävien opintojen seminaari) (5 ECTS cr, whole year).
Tue 14-16 in A315, starting 13.1. Supervisor Kari Enqvist.

See autumn program.

Postgraduate courses

Special courses in the Advanced studies (Master's level) and Postgraduate program

53728 Statistical physics II (Statistinen fysiikka II) (10 ECTS cr).
Wed 8-10, Fri 10-12 in A315. Lecturer Juha Honkonen. First lecture 23.1.
Exercises (2 hours/week) (Olli Taanila).

Advanced course in statistical physics. Interacting bosonic and fermionic systems. Fermi liquid. Superfluidity and superconductivity. Phase transitions and critical phenomena. Statistical field theory. Linear response theory. Kinetic theory of gases. Stochastic field theory.

53230 Introduction to Particle Physics I (Johdatus hiukkasfysiikkaan I) (5 ECTS cr), period III.
Tue 12-14, Wed 10-12 in A315. Lecturer Katri Huitu. First lecture 13.1.
Exercises (2 hours/week) Wed 14-16 in A315 (Lasse Leinonen).

The course provides basic understanding of elementary particles and of their detection. In the course particles and their interactions are introduced. Detection of particles is described in a general level. The scattering amplitudes and their general properties are described. Prerequisites: Aineen rakenne, Recommended also: Kvanttimekaniikka I or corresponding knowledge

53250 Introduction to Particle Physics II (Johdatus hiukkasfysiikkaan II) (5 ECTS cr), period IV.
Tue 12-14, Wed 10-12 in A315. Lecturer Katri Huitu. First lecture 10.3.
Exercises (2 hours/week) Wed 14-16 in A315 (Lasse Leinonen).

The course aims to introduce the Standard Model of particle physics by starting from its different interactions and particle content. In the course QED, QCD, and theory of weak interactions are used for calculating cross sections for several processes at tree-level. Phenomena like scaling in the parton model, GIM suppression and CP violation are introduced. Lagrangian for the Standard Model is written, and basics of electroweak symmetry breaking mechanism introduced. Prerequisites: Kvanttimekaniikka I and Introduction to Particle Physics I or corresponding knowledge

530088 Statistical Methods I (Tilastolliset menetelmät I) (5 ECTS cr).
Tue 14-16 in D106. Lecturer Kenneth Österberg. First lecture 17.1.
Exercises (1 hour/week) Thu 14-16 in D115 (Timo Aaltonen).

A practical introduction to the statistical methods applied in the analysis of a measurement in physics. Content of the course: Fundamental concepts (experimental errors and their correct interpretation, frequentist & Bayesian interpretation of probability, the most common distributions and their applications), MC methods & statistical tests (basic principles of Monte Carlo methods, the concepts of a hypothesis & a test statistic and the basic principles for the rejection of a hypothesis) and parameter & error estimation (the concept of estimation, the maximum likelihood method and the method of least squares and the relation between statistical errors and confidence intervals). The course should provide the student a firm basis to statistically correctly analyze data from an physics experiment and do a valid interpretation of the result.

530005 Path Integrals (Johdatus polkuintegraaleihin) (7 ECTS cr).
Tue, Wed 16-18 in E205 . Lecturer Masud Chaichian. First lecture 13.1.
Exercises (2 hours/week) (Anca Tureanu)

An introduction to path integrals, aiming at presenting the path integral quantization procedure as alternative to the quantization via the canonical operator formalism. Content of the course: Wiener path integral for Brownian particle motion or the diffusion equation: path integral description of stochastic processes. Formulation of Quantum Mechanics using Feynman path integrals; path integral in phase space; transition to the description of Quantum Field Theory via path integral. WKB approximation and general methods for the evaluation of path integrals. Systems with constraints and path integrals with Grassmann variables for fermionic fields. The course naturally provides the audience with all the necessary ingredients concerning the use of path integrals in diverse areas of physics and, in particular, for the quantization of non-Abelian gauge field theories (which are constrained systems) an example of which is the Standard Model of Electroweak and Strong Interactions of elementary particles. Prerequisites: Quantum Mechanics I. Literature: Lecture notes, books:R.P. Feynman and A.R. Hibbs: Quantum Mechanics and Path Integrals, McGraw-Hill 1965, M. Chaichian and A. Demichev: Path Integrals in Physics, Volumes I & II, IoP 2001.

530226 Computing methods in high energy physics (5 ECTS cr).
Mon 14-16 in D105. Lecturer Sami Lehti. First lecture
Exercises (1 hour/week)

53743 Solar Physics (Auringon fysiikkaa) (10 ECTS cr).
Mon 10-12, Wed 14-16 in D116. Lecturer Rami Vainio. First lecture 12.1.
Exercises (2 hours/week) (Arto Sandroos).

53733 Condensed Matter Theory (Tiiviin aineen teoria) (5 ECTS cr), period III.
Thu, Fri 12-14 in D116. Lecturer Aleksi Soininen. First Lecture 15.1.

530124 Classical nucleation theory (5 ECTS cr), period III.
Tue, Thu 10-12 in D105. Lecturer Hanna Vehkamäki.

53052 Acoustics (Akustiikka) (5 ECTS cr), period IV.
Mon 8-10, Fri 14-16 in D116. Lecturer Leo Kärkkäinen. First lecture 16.3.
Exercises (2 hours/week)

The course introduces both the fundamental concepts of acoustics and its applications. Prerequisites: Basic studies in Physics, Mathematical Methods of Physics (FYMM) I-II and Scientific Computing I-II.

53369 Scientific Computing III (Tieteellinen laskenta III) (10 ECTS cr).
Tue 14-16, Thu 12-14 in D117. Lecturer Antti Kuronen. First lecture 13.1.
Exercises ( 2 hours/week) Wed 12-14 in Accelerator Laboratory Seminar Room (Katharina Vörtler).

Lectures can be given in English.

Other possible courses
in the Advanced studies (Master's level) or Postgraduate program will be announced later. Certain other courses of the Department of Physical Sciences, Mathematics Department, and the University of Technology are also accepted as special courses in Theoretical Physics. More information is obtainable later from the noticeboard of the Division and from the student tutor.

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