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