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# Studijní předměty

## Úvod do experimentální fyziky vysokých energií

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## Virtuální instrumentace v experimentech

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## Proseminář z matematiky pro fyziky 1

Course: Proseminar in Mathemat. for Physicists 1

Department/Abbreviation: SLO/SMF1

Year: 2018 2019

Guarantee: 'RNDr. Pavel Horváth, Ph.D.'

Annotation: Acquire the basic knowledge of mathematical analysis focused on physics applications.

Course review:
1. Mathematical logic, Mathematical language. 2. Sets, functions. 3. Real numbers. 4. Complex numbers. 5. Combinatorics and fundamentals of statistics. 6. Sequences, limits of sequences, infinite series. 7. Functions - real functions of a single real variable: The basic notions and properties of functions. 8. Elementary functions: Power, exponential, logarithmic, trigonometric and cyclometric functions. 9. Limit and continuity of a function. 10. Fundamentals of differential calculus: Derivative and its geometrical and physical meanings, differential, determination of functions properties. 11. Use of the software MATHEMATICA for selected themes - exercises.

## Matematický seminář

Course: Seminar in Mathematics

Department/Abbreviation: KEF/BMS

Year: 2018 2019

Guarantee: 'Mgr. Jan Říha, Ph.D.'

Annotation:

• Introduction to vector algebra
• Scalar and vector physical quantities, their properties
• Definition of a vector, vector space
• Arithmetical and geometrical definition of a vector
• Linear combinations of vectors, linearly-dependent and independent system vectors, bases and dimensions of vector space
• Operation with vectors - scalar, vector and mixed product of vectors
• Transformations of vector coordinates in curvilinear systems of coordinates used in physics
• Use of vector calculus in physics

• Introduction to tensor calculus
• Anisotropic media, tensor physical quantities, their properties
• Definition of a tensor
• Algebraic operations with tensors
• Transformations of tensor components
• Tensors in physics

• Differential calculus of a function with one variable
• Real function of one real variable, basic types of functions, their properties
• Limit of a function, basic rules for calculation of function limits
• Differentiation of a function, its physical and geometrical interpretation
• Differential of a function, its physical and geometrical interpretation
• Differentiations of higher orders, physical interpretation of the second differentiation

• Differential calculus of a function with two and more variables
• Real function of more real variables
• Partial differentiation of the first order and higher orders
• Total differential of the first order and higher orders

• Integral calculus of a function with one variable
• Primitive function, indefinite integral
• Basic methods and rules of integration
• Definite integral and its calculation
• Use of definite integral in geometry and physics

• Introduction to solving of differential equations
• Definition of differential equation
• Solving of basic types of the first-order differential equations - equations with separable variables, homogeneous equations, linear equations
• Solving of the second-order differential equations with constant coefficients

• Integral calculus of a function with two and more variables
• Double integral and its calculation
• Triple integral and its calculation

Course review:

• Introduction to vector algebra
• Scalar and vector physical quantities, their properties
• Definition of a vector, vector space
• Arithmetical and geometrical definition of a vector
• Linear combinations of vectors, linearly-dependent and independent system vectors, bases and dimensions of vector space
• Operation with vectors - scalar, vector and mixed product of vectors
• Transformations of vector coordinates in curvilinear systems of coordinates used in physics
• Use of vector calculus in physics

• Introduction to tensor calculus
• Anisotropic media, tensor physical quantities, their properties
• Definition of a tensor
• Algebraic operations with tensors
• Transformations of tensor components
• Tensors in physics

• Differential calculus of a function with one variable
• Real function of one real variable, basic types of functions, their properties
• Limit of a function, basic rules for calculation of function limits
• Differentiation of a function, its physical and geometrical interpretation
• Differential of a function, its physical and geometrical interpretation
• Differentiations of higher orders, physical interpretation of the second differentiation

• Differential calculus of a function with two and more variables
• Real function of more real variables
• Partial differentiation of the first order and higher orders
• Total differential of the first order and higher orders

• Integral calculus of a function with one variable
• Primitive function, indefinite integral
• Basic methods and rules of integration
• Definite integral and its calculation
• Use of definite integral in geometry and physics

• Introduction to solving of differential equations
• Definition of differential equation
• Solving of basic types of the first-order differential equations - equations with separable variables, homogeneous equations, linear equations
• Solving of the second-order differential equations with constant coefficients

• Integral calculus of a function with two and more variables
• Double integral and its calculation
• Triple integral and its calculation

## Praktikum z experimentálních technik a měřicí metody 2

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## Nanofotonika a nanoelektronika

Course: Nanophotonics and Nanoelectronics

Department/Abbreviation: SLO/BNNE

Year: 2018 2019

Guarantee: 'doc. Mgr. Jan Soubusta, Ph.D.'

Annotation: Brief introduction to nanophotonics, describing phenomena at the interface of solid state physics and optics. The lecture presents techniques of microscopy in near field and scanning probe microscopes. Next energetic conversion in nanostructures and utilization of nanostructures properties for efficiency increase is explained.

Course review:
- Basics of nanophotonics, spatial confinement: similarities and differences between photons and electrons, localization, tunneling. Interaction with nanostructures for photons (evanescent waves, plasma resonance) and for electrons (quantum mechanical size effect, Coulomb blockade). Overview of usage of mentioned phenomena in present and future components for optoelectronics - Photospectroscopy, overview of optical methods for studying nanostructures. Description of different methods of photoluminescence measurement utilizing microscopy and time resolution. - Near field scanning microscopy. Diffraction limit and optical system resolution. Principle of operation based on evanescent waves. Practical demonstration using scanning probe. Usage for the study of nanostructures. Principles of operation of scanning probe microscopy, study of spectroscopic properties of individual molecules. - Scanning tip microscopes, scanning tunneling microscopy (STM) and atomic force microscopy (AFM), modification of AFM with the use of other interactions: work function, electrostatic force, magnetic force, measurement with local detection of electric current of capacity - Energy transformation in nanostructures, basics of photovoltaic phenomenon in classical solar cells, effect limiting the efficiency of photovoltaic transformation, usage of properties of nanostructures for the increase of the efficiency: multiplication of carriers, photon fusion, multiple generation of charge carriers. Basics of photoelectrochemical cells: a dye-sensitized solar cells, photoelectrochemical decomposition of water.

## Laboratorní praxe, projekt 2

Course: Laboratory Training, Project 2

Department/Abbreviation: KEF/BLP2

Year: 2018 2019

Guarantee: 'Mgr. Milan Vůjtek, Ph.D.'

Annotation: Laboratory practice in the research and development workplaces of the Department of Experimental Physics, Joint Laboratory of Optics and Regional Centre of Advanced Technologies and Materials.

Course review:
Work in the laboratories of Department of experimental physics, Join Laboratory of Optics or Regional Centre of Advanced Technologies and Materials

## Praktikum z elektronických měření

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Návod k některým úlohám

## Laboratorní praxe, projekt 1

Course: Laboratory Training, Project 1

Department/Abbreviation: KEF/BLP1

Year: 2018 2019

Guarantee: 'Mgr. Milan Vůjtek, Ph.D.'

Annotation: Laboratory practice in the research and development workplaces of the Department of Experimental Physics, Joint Laboratory of Optics and Regional Centre of Advanced Technologies and Materials

Course review:
Laboratory practice in the research and development workplaces of the Department of Experimental Physics, Joint Laboratory of Optics and Regional Centre for Advanced Technologies and Materials. According to the project.

## Laboratorní praxe, projekt 3

Course: Laboratory Training, Project 3

Department/Abbreviation: KEF/BLP3

Year: 2018 2019

Guarantee: 'Mgr. Milan Vůjtek, Ph.D.'

Annotation: Laboratory practice in the research and development workplaces of the Department of Experimental Physics, Joint Laboratory of Optics and Regional Centre of Advanced Technologies and Materials.

Course review:
Laboratory practice in the research and development workplaces of the Department of Experimental Physics, Joint Laboratory of Optics and Regional Centre of Advanced Technologies and Materials.