Lukas Richterek

• Doctor of Philosophy
• Lecturer at Palacký University Olomouc

Discussing the content of education is a never-ending story. Naturally, with the development of sciences and our knowledge, we need to include new topics. Simultaneously, with limited lesson time, some other parts must be reduced or omitted. Thus, each generation has to inventory the most relevant topics for science education and define criteria fo...

In this contribution, we present the results of one bachelor and one master theses both devoted to the teaching of special relativity at an upper-secondary or intro-university level in the Czech Republic. We compare the test results of the grammar-school students in the school years 1976/1977 and 2021/2022, which are close to average and very simil...

In this contribution, we present a set of Geogebra activities used in several introductory courses on Classical mechanics, Special relativity, Introductory course to cosmology and within the courses for non-physics majors (Physics for chemists, Physics for biologists). Examples include various oscillations, curvilinear coordinates, solutions of equ...

The VITAL project is motivated by the EU's Green Deal Action Plan and the exploitation of two Erasmus+ priorities-the fight against climate change combined with digital transformation, in this case in the adult education sector. Various studies, statistics and surveys show that the rate of natural resource extraction is rapidly growing and our plan...

In our contribution, we analyse the result of the Lawson classroom test of scientific reasoning for the N=446 student of the Faculty of Science Palacký University Olomouc from the years 2018–2020 at the beginning of their study. Besides the standard characteristics of the test items (difficulty index, discrimination index and point biserial coeffic...

The Lawson classroom test of scientific reasoning is a quite popular and widely used tool that measures the level and development of the student's scientific reasoning skills. In this contribution, the results of this test for the N=446 students of the Faculty of Science Palacký University Olomouc from the years 2018-2020 at the beginning of their...

The Buquoy’s problem represents an interesting example of a one-dimensional motion in which a uniform thin fibre is pulled upwards from a horizontal plane by a constant vertical force exerted against the homogeneous gravitational field. The problem includes several interesting concepts that are developed within the introductory university physics c...

The aim of the research was the analysis of the problem dealing with solving of six Force concept inventory tasks by first-year university students using obtained eye-tracking data. Some characteristics like attention maps and sequences of fixations provide a deeper insight into the students' approaches to the tasks verifying their conceptual under...

The report of AROMA project (AROMA project consortium, 2018) summarizes a detailed study performed within project partner countries (Belgium, Czech Republic, Greece, Malta, Romania, Spain and Sweden) aimed at identifying the training needs connected with augmented reality technology (AR) and entrepreneurial skills and mapping an awareness about the...

We show that the classical model of Euler top (freely rotating, generally asymmetric rigid body), possibly supplemented with a rotor, corresponds to a generalized Lipkin-Meshkov-Glick (LMG) model describing phenomena of various branches of quantum physics. Classical effects such as free precession of a symmetric top, Feynman's wobbling plate, tenni...

We show that the classical model of Euler top (freely rotating, generally asymmetric rigid body), possibly supplemented with a rotor, corresponds to a generalized Lipkin-Meshkov-Glick (LMG) model describing phenomena of various branches of quantum physics. Classical effects such as free precession of a symmetric top, Feynman's wobbling plate, tenni...

An assessment is described in the introductory physics course for chemistry major students with the focus on solving problems from the electricity and magnetism. The experiences are summarised, obtained during the academic years 2014/2015, 2015/2016 and 2016/2017 from a multiple-choice test passed by 390 chemistry majors at the Faculty of Science i...

Life is dependent on the income of energy with low entropy and the disposal of energy with high entropy. On Earth, the low-entropy energy is provided by solar radiation and the high-entropy energy is disposed as infrared radiation emitted into the cold space. Here we turn the situation around and assume cosmic background radiation as the low-entrop...

Many topics which are closely related can be found in the national curriculum of the Czech Republic for physics and biology. One of them is the heart and the circulatory system in the human body. This topic was examined cross curriculum, a teaching module was created and the topic was chosen for our research. The task was to determine if the studen...

Two black holes can merge to create a bigger black hole, thus increasing the entropy of the universe. Alternatively, they can be used as two heat reservoirs from which work can be extracted. We discuss a process during which two black holes are transformed into one while the total entropy is kept as constant. The resulting black hole has a smaller...

Rastall generalized Einstein's field equations relaxing the Einstein's assumption that the covariant divergence of the energy-momentum tensor should vanish. His field equations contain a free parameter alpha and in an empty space, i.e. if T_{\mu\nu}=0, they reduce to the Einstein's equations of standard general relativity. We calculate the elements...

By means of Ernst complex potential formalism it is shown, that previously studied static axisymmetric Einstein-Maxwell fields obtained though the application of the Horsky-Mitskievitch generating conjecture represent a combination of Kinnersley's transformations [W. Kinnersley: J. Math. Phys. 14 (1973) 651]. New theoretical background for the conj...

Two solutions of the coupled Einstein-Maxwell field equations are found by means of the Horský-Mitskievitch generating conjecture. The vacuum limit of those obtained classes of spacetimes is the seed γ-metric and each of the generated solutions is connected with one Killing vector of the seed spacetime. Some of the limiting cases of our solutions a...

The method based on the Horský-Mitskievitch conjecture is applied to the Levi-Civita vacuum metric. It is shown, that every Killing vector is connected with a particular class of Einstein-Maxwell fields and each of those classes is found explicitly. Some of the obtained classes are quite new. Radial geodesic motion in constructed space-times is dis...

The uncertainty principle in quantum physics for non-commuting observables can be quantitatively expressed in various mathematical forms. Well known are common Heisenberg-like uncertainty relations in which the product of dispersions of two non-commuting observables is used. An alternative form of uncertainty relations represents the so-called entr...

We calculate the entropic and standard uncertainty relations for the position and momentum of the infinite potential well as functions of its quantum states. We show that the entropic uncertainty relations express more adequately the uncertainty principle than the standard ones which use the dispersions as measures of the uncertainties for two non-...

We calculate the entropic and standard uncertainty relations for the position and momentum of the infinite potential well as functions of its quantum states. We show that the entropic uncertainty relations express more adequately the uncertainty principle than the standard ones which use the dispersions as measures of the uncertainties for two non-...

1. vyd. "Publikace byla připravena v rámci projektu "Modulární přístup v počátečním vzdělávání učitelů přírodovědných předmětů pro střední školy", reg. č. CZ.04.1.03/3.2.15.2/0263"--Rub tit. s. Nad názvem: Univerzita Palackého v Olomouci, Přírodovědecká fakulta

Vyd. 1. Pod názvem: Seminární materiál projektu Učíme fyziku moderně, Další vzdělávání učitelů fyziky Olomouckého kraje, Slovanské gymnázium Olomouc 120 výt.

1 Filozoficko-historické preludium Představivost je důležitější než znalost. Albert Einstein (1879-1955) Klíčovým problémem speciální i obecné teorie relativity je pojetí vztažné soustavy. Toto téma prostupující fyziku již od dob antické filozofie bylo pro samotného Einsteina rozhodující motivací k úvahám, jež nakonec vyústily k zásadní analýze pře...