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PGSFS
Course: Low-Dimensional Physical Systems
Department/Abbreviation: OPT/PGSFS
Year: 2020
Guarantee: 'prof. RNDr. Jiří Bajer, CSc.', 'prof. RNDr. Zdeněk Hradil, CSc.'
Annotation: Basic electron-phonon models in one dimension and two dimensions, structural instability
Course review:
-Basic electron-phonon models in one dimension and two dimensions, structural instability: Holstein's model, Peierls's model and Jahn-Teller model
-Solitons as quasi-particles in low-dimensional physics (polymers, quasi-one-dimensional structures): Concept of soliton and solitary wave, basic types of the soliton-bearing nonlinear equations
-Sine-Gordon model, domain walls
-Instantons and their applications in the tunneling transport
-Davydov's soliton, nonlinear Schrödinger equation
-Mathematical methods of soliton solution analysis: Classical solitons of the sine-Gordon system
-Quantization of static solutions, spectra of bound states, mass of quantum soliton, stability of solitons
-Collective coordinates, zero mode, some examples of soliton analytical solutions in collective coordinates
-Universality of systems with the SU(2) symmetry: Bosonization