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FSI-TQSAcad. year: 2015/2016
The course represents the third and final part of the basic course of theoretical physics.It is concerned with:A)QUANTUM MECHANICS. Following a discussion on the motivation for a quantum theory, the basic ingredients of the quantum-mechanical description of the microparticle are introduced: the probability amplitude and wavefunction, mathematical tools, postulates. Then the following issues are covered: one dimensional problems (potential barriers and wells – tunnelling and energy quantisation), harmonic oscillator (creation and annihilation operators), three dimensional problems (angular momentum, hydrogen atom), spin, systems of identical particles (fermions and bosons), approximate methods (time-independent and time-dependent perturbation theories, variational method). Finally advanced topics, such as density matrix, entangled states, Bell inequalities, quantum cryptography, teleportation, cloning, quantum computers, are mentioned.B)STATISTICAL PHYSICS. Using the notion of accessible quantum states, the entropy, temperature and chemical potential are introduced and Gibbs/Boltzmann factors are deduced. Next, it is shown how to extract thermodynamic information from the partition function. Further, the Fermi-Dirac and Bose-Einstein distributions are derived. The approach unites statistical mechanics and thermodynamics. The final part aimed at applications covers the following topics: the mono- and poly-atomic ideal gas, Fermi gas in metals, black-body radiation, Bose-Einstein condensation in Bose gas.
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branch B-FIN , 3 year of study, winter semester, compulsory
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