Before choosing course

Course contents

Variational methods; Green's functions

Analytical mechanics: Lagrange- and Hamilton formalism; tops; canonical  transformations; Hamilton-Jacobi equations; Poisson brackets;  applications to non-relativistic and relativistic mechanics and relation  to quantum mechanics

Classical field theory: Euler- and Navier-Stokes equation, Maxwell and  Einstein equation.

Intended learning outcomes

• understand and know how to use variational methods
• be able to use Green's function methods to solve certain problems with differential equations
• use the Lagrange and Hamilton formalism of mechanics
• solve specific problems using methods from analytical mechanics
• know fundamental equations of classical physics

Course Disposition

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Specific prerequisites

Recommended: advanced course in mechanics; course on mathematical methods in physics (like SI1140).

Recommended prerequisites

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Equipment

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Literature

F. W. Byron, R. W. Fuller: Mathematics of classical and quantum physics,  Dover (1970)

G. Sparr and A. Sparr, Kontinuerliga system,  Studentlitteratur, Lund 

Additional material will be available on the course homepage.

If the course is discontinued, students may request to be examined during the following two academic years.

Grading scale

A, B, C, D, E, FX, F

Examination

• TEN1 - Examination, 3,0 hp, betygsskala: A, B, C, D, E, FX, F
• TEN2 - Examination, 3,0 hp, betygsskala: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

Opportunity to complete the requirements via supplementary examination

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Opportunity to raise an approved grade via renewed examination

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Examiner

Edwin Langmann

Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Offered by

SCI/Theoretical Undergaduate Physics

Main field of study

Technology

Education cycle

First cycle

Add-on studies

SI2170 Quantum Physics
SI2380 Quantum Physics II
SI2371 Special Relativity
SI2372 General Relativity
SI2390  Relativistiv Quantum Physics
SI2410  Quantum Field Theory
SI2600  Condensed Matter Theory