| TFFY54 | Quantum Mechanics, 6 ECTS credits. /Kvantmekanik/ |
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Prel. scheduled
hours: 54 |
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Area of Education: Science Subject area: Physics |
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| Advancement level
(A-D): C
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| Aim: The course should give a rigorous understanding of Quantum Mechanics and its applications. |
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) TFFY17 Modern Physics Y, TFFY43 Analytical Mechanics are recommended 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. |
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| Supplementary courses: TFFY58 Quantum Dynamics, TFFY70 Physics of Condensed matter I, TFFY73 Physics of Condensed Matter II, TFFY27 Elementary Particle Physics. |
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| Organisation: The course is divided into lectures with related problem solving sessions and seminars about approximative methods. |
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| 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. The interpretation of quantum mechanics. Harmonic oscillator with orthodox method and 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 (Ritz). Applications to the heliumatom (many-electron system). |
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| Course literature: B. H. Bransden and C. J. Joachain, Quantum Mechanics, second edition, Prentice Hall 2000. |
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| Examination: | |||
| A written examination |
4 p |
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Course language is Swedish or English. Department offering the course: IFM. Director of Studies: Leif Johansson Examiner: Patrick Norman Link to the course homepage at the department Course Syllabus in Swedish |
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