| NFYD65 | Quantum Dynamics, 7,5 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 and Molecular Physics 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) Participation in NFYC58 Quantum Mechanics and Molecular Physics. NFYC56 Solid State Physics 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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| Supplementary courses: NFYD74 Elementary particle physics |
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| Organisation: The course is given in the form of seminars. About three quarters of the total time is devoted to lectures and one quarter to related problem solving sessions. |
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| Course contents: Will be chosen among: Introduction and repetition. Dirac-formalism. Wave packets and their distortion. Group 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 pertubation theory. Fermi's golden rule (Dirac). Density matrix. Pure and mixed state. Ensemble averages. Quantum mechanical and classical Liouville equation. Gauge-invariance. Many-particle system. 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-). Spin-waves and magnons. Example of coupling between different quasiparticles. Introduction to relativistic quantum mechanics. The Pauli equation according to Feynman. The Klein-Gordon, Dirac, and Weyl equations. The Klein paradox. Quantization of the electromagnetic (Maxwell) field and the Klein-Gordon field. Coherent states and squeezed states. The measurement problem and the EPR-paradox. Bell's theorem and the Greenberger-Horne-Zeilinger (GHZ) paper. Orientation about some topics of current research interest in solid state theory. |
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| Course literature: Lecture notes sold by Bokakademin. |
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| Examination: | |||
| Hand-in exercises and oral presentation. Assignment |
4,5 p 0,5 p |
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| Alternatively the examination can be given in the form of a written test consisting of problem solving and theoretical questions. | |||
Course language is Swedish. If requested the course will be given in English. Department offering the course: IFM. Director of Studies: Magnus Boman Examiner: Rolf Riklund Link to the course homepage at the department Course Syllabus in Swedish |
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