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Course: Physical Basis of Nanotechnologies

Department/Abbreviation: KEF/FZNE

Year: 2021

Guarantee: 'prof. RNDr. Miroslav Mašláň, CSc.'

Annotation: The aim of the subject is cover the phenomena and properties occurring in the nanoworld from the perspective of physics. The students become familiar with a physical description of the nanoworld and solutions of the equations describing the features in the nanoworld. New properties stemming from restrictions in various dimensions are also discussed in details.

Course review:
1. Schrödinger equation for a system of electrons and nuclei and its approximations, Bloch theorem, Bloch function, localized and delocalized electrons, localization of electrons with decrease in size of a (nano)material, hole (a quasi-particle with positive charge a positive effective mass), excitons (Mott-Wannier excitons and Frenkel excitons, Saha equation). 2. Quantum nature of the nanoworld (wave function, Schrodinger equation in one dimension, time dependent and independent Schrodinger equation, particle trapped in one dimension, linear combination of solution, expected values and two-particle wave function, reflection and tunneling through potential step, tunneling through potential barrier, particles trapped in two and three dimensions, quantum dots, two-dimensional bands and quantum wires, simple harmonic oscillator, magnetic moments). 3. Quantum properties and dimensionality. 4. Single-electron tunneling, Coulomb blocade, Coulomb staircase, superconductivity and quantum nanostructures. 5. Experimental methods for studying physical properties in the nanoworld. 6. Theoretical simulations of the properties in the nanoworld.