| TFFY58 | Quantum Dynamics, 7 ECTS credits. /Kvantdynamik/ |
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Prel. scheduled
hours: 64 |
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Area of Education: Science Subject area: Physics |
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| Advancement level
(A-D): D
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| Aim: To give a suitable transition from the basic concepts that was treated in the course Quantum Mechanics to concepts that are used in modern research. |
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) TFFY54 Quantum Mechanics. TFFY70 Physics of Condensed Matter part I is 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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| Organisation: The course is given in the form of 64 h seminars. About three quarters of the total time are devoted to lectures on the basic theory and one quarter to related problem solving sessions. |
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| Course contents: Will be chosen among: Introduction and repetition. Wave packets and their distorsion. Group and phase velocities and the condition for stationary phase. x- p- and N- representation. Exchange of bases. Closure. Division of the unit operator with projection operators. Spectral resolution of operators. Unitary operators and trace. Evolution operator and its integral equation. Schrödinger, Heisenberg and Dirac (interaction) picture. Time dependent perturbation theory. Fermi´s golden rule (Dirac). Density matrix. Pure and mixed states. Ensemble averagdes. Quantum mechanical von Neumann equation and classical Liouville equation. Gaugeinvarians. Many particle systems. Something about coupling of several spins. Variational theory. Screening. Hartree equations. Slater determinant and permanent. Hartree-Fock equations. Orientation about the X-alpha-method and Kohn-Sham theory. Second quantization or occupation number formalism. Applied examples like the tight-binding model, the Hubbard model, spin-models (Heisenberg, Ising-, XY-). Spinnwaves and magnons. Example of coupling between different quasiparticles. Introduction to relativistic quantum mechanics. Pauli equation according to Feynman. Klein-Gordon, Dirac, and Weyl equation. Klein paradox. Something about quantization of the electromagnetic (Maxwell) field and the Klein-Gordon field. Something about coherent states. Something about squeezed states. Something about measurement and the EPR-paradox. Bell´s Theorem and the Greenberger-Horne- Zeilinger (GHZ) paper. Orientation about some topics of current interest like: localization, mobility edges, superlattices, quasiperiodicity, nonlinearity, solitons, breathers, selfsimilarity, multifractality,... . ... . |
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| Course literature: Lecture notes sold by Bokakademin. |
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| Examination: | |||
| Hand-in exercises and oral presentation |
4,5 p |
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| Examination might be in the form of a written examination on problem solving and theory. | |||
Course language is Swedish/English. Department offering the course: IFM. Director of Studies: Leif Johansson Examiner: Rolf Riklund Link to the course homepage at the department Course Syllabus in Swedish |
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