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Lecturer(s)
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Teo Yong Siah, Ph.D.
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Marek Petr, doc. Mgr. Ph.D.
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Hradil Zdeněk, prof. RNDr. CSc.
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Course content
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1.Conception issues of the quantum theory, experiments accounting for the origin of the quantum mechanics 2. Stern-Gerlach experiment, introduction of the formalism of the quantum mechanics and its statistical interpretations 3. Observable quantities with continuous spectrum, wave function and canonic quantization 4. Dynamics of quantum systems, Schrödinger and Heisenberg representation 5. Solutions of the Schrödinger equation for simple systems, harmonic oscillator, annihilation and creation operators, WKB approximation 6. Propagator, Green function, Feymann path integral calibration transformation for a scalar and vector potential 7.Quantum theory of angular momentum, representation of the group of rotations, spin and orbital impulse momentum 8. Symmetry in the quantum mechanics, operator of parity, use of the symmetry for solutions of tasks of the quantum mechanics - hydrogen atom 9. Perturbation theory with time-independent perturbation for non-degenerated and degenerated spectrum of eigenstates of a non-perturbed system 1é. Time-dependent perturbation theory, Fermi golden rule, description of maser and photoelectric effect 11. Identical particles, principle of non-distinctiveness, operator of permutation, relation between the spin and statistics, basic conceptions of the field theory as a quantum mechanics of undistinguishable particles
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Learning activities and teaching methods
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Lecture
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Learning outcomes
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To manage philosophical concepts behind the quantum mechanics and to learn experiments and Dirac formalism. Application in modern science.
Knowledge Define the main ideas and conceptions of the subject, describe the main approaches of the studied topics, recall the theoretical knowledge for solution of model problems.
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Prerequisites
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Appart the course of classical phyisics no prior requirements.
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Assessment methods and criteria
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Oral exam
Knowledge within the scope of the course topics (examination)
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Recommended literature
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skripta: PřF UP, MFF UK Praha.
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Ballentine, L. E. (1998). Quantum Mechanics: A Modern Development. World Scientific.
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Formánek, J. (1983). Úvod do kvantové teorie. Academia, Praha.
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Greiner, W. (1989). Quantum Mechanics I. Springer.
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Landau; Lifšic. Quantum Mechanics.
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Sakurai, J.J. (1994). Modern Quantum Mechanics. Addison Wesley.
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