| TFFY54 | Quantum Mechanics, 6 ECTS credits. /Kvantmekanik/ |
||
Prel. scheduled
hours: 54 |
|||
|
Area of Education: Science Subject area: Physics |
|||
| Advancement level
(G1, G2, A): A
|
|||
| Aim: The course should should give a rigoruos understanding of quantum mechanics and further develop the students ability to solve quantum mechanical problems. After completed course, the student should be able to:
|
|||
| Prerequisites: (valid for students admitted to programmes within which the course is offered) Modern physics, linear algebra and fourier transform. Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding. |
|||
| Supplementary courses: Quantum Dynamics, Physics of Condensed matter I, Physics of Condensed Matter II, Elementary Particle Physics. |
|||
| Organisation: The course is divided into lectures and problem solving sessions. |
|||
| Course contents: Historical background. Wave-particle dualism. Wave packets. Motivation of the time-dependent Schrödinger equation. Probability current density. Expectation value and standard deviation. Hermitian operators and eigenvalues. Time-independent Schrödinger equation. Boundary conditions. General solution to the Schrödinger equation. Propagator. Stationary and non-stationary states. The Dirac notation. Hilbert space. Rigorous proof of the uncertainity principle. Heisenberg's matrix representation. Ehrenfest's theorem. The postulates of quantum mechanics. Harmonic oscillator with operator method. Operators as generators of translation and rotation. Spherical symmetric potential and the radial equation. Pauli spin matrices. Spin dynamics. The hydrogen atom and fine structure splitting. Introduction to approximate methods. Time-independent non-degenerate perturbation theory. Degenerate perturbation theory. The variational method. |
|||
| Course literature: B. H. Bransden and C. J. Joachain, Quantum Mechanics, second edition, Prentice Hall 2000. |
|||
| Examination: | |||
| A written examination |
6 ECTS |
||
Course language is English. Department offering the course: IFM. Director of Studies: Leif Johansson Examiner: Magnus Boman Link to the course homepage at the department Course Syllabus in Swedish |
|||
|
|
 |
|||||
| ||||||