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Lecturer(s)
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Mašláň Miroslav, prof. RNDr. CSc.
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Ugolotti Juri, Ph.D.
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Course content
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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.
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Learning activities and teaching methods
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Lecture
- Homework for Teaching
- 10 hours per semester
- Attendace
- 20 hours per semester
- Preparation for the Exam
- 24 hours per semester
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Learning outcomes
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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.
Students define the main ideas and conceptions of the subject, describe the main approaches of the studied topics, recall the theoretical knowledge for solution of model problems.
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Prerequisites
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unspecified
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Assessment methods and criteria
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Oral exam
Knowledge in the scope of the syllabus.
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Recommended literature
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Bassasi, F.; Pastori Parravicini, G. (1975). Electronic and Optical Properties of Solids. Pergamon Press.
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Borisenko, V.E., Ossicini, S. (2004). What is What in the Nanoworld. A Handbook of Nanoscience and Nanotechnology. Wiley-VCh, Verlag GmbH & Co. KGaA, Weinhein.
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Ferry, D. K., Goodnick, S. M. (1997). Transport in Nanostructures. Cambridge University Press.
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Israelachvili, J. N. (1985). Intermolecular and Surface Forces. Academic Press, London.
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Poole Ch.P, Owens F.J. (2003). Introduction to Nanotechnology. John Wiley & Sons, New Jersey.
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Singleton, J. (2001). Band Theory and Electronic Properties of Solids. Oxford University Press.
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