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Lecturer(s)
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Karamazov Simeon, prof. Ing. Dr.
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Course content
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Lecture topics: 1. Encounter with classical physics a) Brief discussion of modern classical physics. b) Summary of Hamilton-Jacobi theory and connection to wave mechanics. 2. Mathematical formulation of quantum mechanics a) Discussion of the Schrödinger equation, importance and meaning of wave frequency, mean values of the operator, linear and Hermitian operators, etc. b) Equation of motion (Schrödinger, Heisenberg and interaction picture. 3. Particles in simple potentials a) Free particle and density of states, particles in quantum wells. b) Particles in periodic potential. c) Harmonic (linear) oscillator. Quantum and classical description. 4. Tunneling problem a) Discussion of the general tunneling problem. Tunneling through a barrier (stationary state approximation). b) Discussion of tunneling as a time-dependent phenomenon and lifetimes for quasi-bound states. 5. Particles in spherical synthetic potentials a) General approach to the problem of particles in spherical synthetic potentials. b) The hydrogen atom problem and applications of the approach. 6. Physical symmetries and conservation laws a) Symmetry and conservation laws - general discussion. b) The angular momentum operator and its eigenvalues. c) Electron spin and a short discussion of angular momentum addition. 7. Identical particles and the second quantization a) Discussion of the Pauli principle: fermions and bosons. b) Basic discussion of the second quantization method. 8. Approximate methods: time-independent problems a) Stationary perturbation theories. b) Variational method. 9. Time-dependent problems: approximation methods a) Time-dependent perturbation theories and Fermi's golden rule. b) Applications to optical absorption. 10. Magnetic effects a) Hamiltonian for a charged particle in a magnetic field. b) Zeeman effect
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing)
- Contact teaching
- 26 hours per semester
- Preparation of a presentation (report)
- 34 hours per semester
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Learning outcomes
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The aim of the subject is to acquaint students with the fundamentals of quantum mechanics, which is absolutely determinant of the theory of modern material science and the included theory of waves will allow a deeper understanding of the propagation and detection of the whole spectrum of electromagnetic waves.
After graduating, the student will focus on basic classical physics.
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Prerequisites
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Mathematics I.
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Assessment methods and criteria
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Oral examination, Written examination
75% participation presentation of a physics problem
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Recommended literature
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CIMPL, Zdeněk a Simeon KARAMAZOV. Fyzika I. Vyd. 4. Pardubice: Univerzita Pardubice, 2007. Pardubice: Univerzita Pardubice, 2007. ISBN ISBN 978-80-7194.
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HALLIDAY, David, Robert RESNICK a Jearl WALKER, DUB, Petr. ed. Fyzika. 2., přeprac. vyd. Přeložil Miroslav. ISBN ISBN 978-80-214-4.
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Zajíc, Jan. Fyzika II : (elektřina a magnetizmus). Pardubice: Univerzita Pardubice, 2004. ISBN 80-7194-641-9.
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