Exactly Solvable Models in Statistical Physics

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Michal Jaščur

This monograph is devoted to the discussion of effective field theory based on the differential operator method, originally introduced by Honmura and Kaneyoshi in 1979, which remains actively used for theoretical studies of localized spin models of magnetism—particularly variants of the Ising model. To date, this methodology has been applied by numerous authors to investigate a wide range of systems, including crystalline systems, diluted magnetic systems, systems with random exchange interactions, amorphous magnetic materials, systems under random magnetic and crystalline fields, thin magnetic layers, magnetic systems with free surfaces, binary and ternary magnetic alloys, among others.

During my scientific career, I have collaborated with several leading experts in this field—including Prof. Kaneyoshi, with whom I completed two long-term research stays—to advance the development of the differential operator method (and consequently effective field theory). Within this research area, I have published over 40 scientific papers in prominent international physics journals. These works include both methodological advancements and significant applications that predict intriguing physical phenomena, such as multicompensation phenomena in ferrimagnets.

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Zuzana Kudličková Monika Tvrdoňová Ján Elečko
This elektronic material provides practical guidance for determining the structure of organic compounds using nuclear magnetic resonance (NMR) spectroscopy, infrared (IR) spectroscopy, and mass spectrometry (MS). The publication is intended primarily for single-discipline undergraduate and interdisciplinary undergraduate students in chemistry as a supplementary material for the course Methods of Structure Determination – Spectroscopic Methods. The text is divided into four parts: NMR, IR, MS, and exercises on combined structural analysis. Each section includes a brief theoretical introduction, practical tips for spectrum interpretation, solved examples, and especially unsolved exercises that allow students to practice analyzing real spectra. The material supports the development of analytical thinking and the ability to unambiguously determine the structure of unknown compounds. The publication was created as a teaching aid for seminars. Its goal is to help students effectively understand the combination of spectroscopic methods and their application in the structural analysis of organic compounds.
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Mária Kožurková (ed.)

Book of Abstracts

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Milan Žukovič

This textbook is intended for master's degree students and is a follow-up to the Computational Physics I course studied at the bachelor's level. The content of the textbook Computational Physics II focuses on stochastic methods of solving physical problems, mainly on Monte Carlo (MC) simulation of many-particle systems.

The focus on this computationally intensive approach is motivated by the gradual increase in the computing capacities of ordinary computers as well as the introduction of high-performance computing clusters. This has led to significant progress in the development of new simulation techniques, thanks to which MC simulations have found application in various areas of research and application practice. Considering the main research focus of the department, this text is particularly devoted to the presentation of basic and more advanced MC simulation techniques applied to a simple Ising spin model in order to investigate its magnetic, thermodynamic and critical properties.

The next part is devoted to MC simulations of random processes. It focuses on the simplest but also the most basic random walk process and demonstrates its applications in financial analysis and the solution of a quantum system described by the time-dependent Schrödinger equation. The last part is dedicated to the basics of molecular dynamics, applied to simulating the classical movement of atoms in a given force field. By mastering the problems addressed in this course, students will obtain a potential tool for working out of their diploma theses, or a methodology useful for their further scientific and research practice in the field of investigating of complex systems.

The lectured topic is subsequently exercised in the form of preparing projects implemented in the freely distributable software Octave, which is easy on the user's programming skills and which students have the opportunity to familiarize themselves with in the previous study.

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Ján Füzer

Auxiliary teaching material for the course General Physics III – Oscillations, Waves, and Optics is intended for students of single-subject and interdisciplinary studies of physics.

The content provides a basic outline of the material covered, without detailed explanations, with an emphasis on the physical method of thinking using the simplest elements of higher mathematics. The presented text does not aim to replace the recommended textbooks, but rather to help students navigate the subject matter. Recommended literature can be found at the end of the text.

The teaching material contains the basic framework of the lectures and is supplemented and revised each year, with lectures enriched by supporting demonstration experiments.

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Monika Tvrdoňová - Miroslava Martinková

The scientific book of abstracts from conference „Novel Trends in Chemistry, Research and Education 2022“ is a summary of the contributions of conference participants, which contain the original results of their scientific and research activities. The contributions published in this volume can be divided according to content into the field of analytical, inorganic, organic, physical chemistry, biochemistry, didactics of chemistry and NMR spectroscopy.

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Tomáš Samuely

Today, scanning probe microscopes are standard tools in materials science, physics, chemistry, biology, and engineering. Thousands of these microscopes are in operation worldwide and are at least as common and popular as scanning electron microscopes.

Despite the vast number of newer scanning probe microscopy techniques, classical STM remains a significant and irreplaceable method, widely used, for example, in solid-state research. In this text, we will focus on both traditional and innovative STM techniques that are available and utilized in the laboratories of the Center for Low Temperature Physics in Košice.

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Katarína Cechlárová - Eva Pitoňáková (eds.)

Proceedings of Abstracts from Contributions by Participants of the Student Scientific Conference at the Faculty of Science, UPJŠ in Košice, Held on April 26, 2017

This is the fifth edition of the proceedings from the Student Scientific Conference (ŠVK) at the Faculty of Science, Pavol Jozef Šafárik University in Košice. We are pleased that ŠVK has become an integral part of faculty life and a showcase for the quality of education provided. In 2017, ŠVK took place as part of the traditional Science Days on April 26, 2017. 105 students from the Faculty of Science presented their work. Contributions were organized into 15 sections, supplemented by an open programming competition involving 17 students and the final round of the IHRA competition, which included 27 teams from across Slovakia.

The abstracts in this proceedings demonstrate that students at the Faculty of Science, UPJŠ, acquire knowledge and skills in their field not only through theoretical study of disciplines but also through active engagement in solving partial scientific problems aligned with research goals at the faculty’s institutes. These abstracts also provide an overview of the faculty’s scientific activity, which we believe will be of interest to the broader public.

doc. RNDr. Gabriel Semanišin, PhD.

Dean of the Faculty

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Ivana Šišoláková - Radka Gorejová - Jana Shepa - Renáta Oriňaková

The university textbook "Advanced Electrochemical Methods" is a teaching aid intended for master's or doctoral students studying electrochemical subjects at the Department of Physical Chemistry, Faculty of Science, Pavol Jozef Šafárik University in Košice.

These textbooks follow and further develop textbooks focused on the basic electrochemical methods currently used in modern research. The presented teaching texts are processed in sixteen clear chapters, where they provide a theoretical principle and derivation of electrochemical processes and mechanisms in individual methods. Teaching texts also consist of practical laboratory exercises, in which students can try out the real application of the studied electrochemical methods.

The practical tasks are focused primarily on the demonstration of research that is carried out at our workplace. Students will be able to try, for example, electrochemical modification of the electrode surface, preparation of electrochemical sensors for the determination of analytes, preparation and characterization of a dye-sensitized solar cell or electrochemical evolution of hydrogen.

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Gabriel Semanišin - Emil Hutňan - Jana Oleničová

The proceedings contain abstracts of contributions from participants of the UNIFOS 2014 conference, University Information Systems in Košice, which took place from October 27 to 29, 2014.

ICT centers are important element that provide functioning and development hardware and software infrastructure at Slovak Universities. There are more differences between them in real position, management, personal sources and financing. ICT centers provide a wide range of services to large number of university users and they implement the policy of information security recently.

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Ivan Potočňák

The script is a study literature for the subject Chemical Calculations, which is a mandatory course in the bachelor's degree programs in Chemistry and Chemistry – Interdisciplinary Studies, first year. The script contains 10 chapters with a total of 207 pages, guiding students through solved and unsolved examples to help them understand the subject matter.

Author

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Ondrej Hutník a kol. 

Zbierka úloh z matematickej analýzy III. je pokračovaním predchádzajúcich dvoch vydaných zbierok autorov Kulcsár a Kulcsárová. Táto časť obsahuje príklady na zopakovanie a precvičenie učiva stredných škôl, ako aj časti prvého semestra kurzu matematická analýza určeného pre študentov matematiky, fyziky, informatiky a učiteľského štúdia v kombinácii s matematikou. Zbierka môže tiež pomôcť všetkým učiteľom, ktorí chcú použiť rôzne úlohy vo svojom vyučovaní. Zbierka zahŕňa oblasť postupností reálnych čísel: aritmetické a geometrické postupnosti, všeobecne a rekurentne zadané postupnosti, nachádzajú sa tu úlohy na vyšetrovanie vlastností postupností (monotónnosť, ohraničenosť, konvergencia) a výpočet rôznych typov limít. Všetky zadané úlohy sú vyriešené na konci každej kapitoly s podrobným komentárom.

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Terézia Kisková - Stanislav Matéffy - Františka Horváthová

The laboratory rat (Rattus norvegicus) is one of the most commonly used experimental animals. It serves as a model organism for analyzing numerous biological processes and pathological mechanisms, such as cardiovascular diseases, metabolic disorders (e.g., lipid metabolism, diabetes mellitus), neurological and neuropsychiatric conditions (e.g., stroke, epilepsy, or Alzheimer's disease), neurobehavioral research, autoimmune diseases (e.g., arthritis), cancer, and renal diseases. It offers many unique advantages for modeling human diseases, testing drugs and natural substances, and studying responses to environmental factors. The size of the laboratory rat, compared to the mouse, creates ideal conditions for physiological manipulations. Additionally, rats are used in clinical toxicology to test chemical substances (Hedrich, 2000).

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Ján Guniš - Ľubomír Šnajder

Prílohy

College scripts Programming in Python 1 are intended for future teachers of computer science. The content of the course is related to the teaching of programming in Scratch and is an introduction to text-based programming in Python.

Programming is introduced as a means of developing problem-solving skills. The first chapter is devoted to problem solving. The next 12 chapters sequentially introduce basic language constructions, data structures, and selected types of algorithms. Each of these chapters begins with an introduction to the problem. This section is primarily intended for self-study, to prepare students for the exercises. The following subchapter summarizes and completes the knowledge, and additional insights and approaches related to the chapter topic are presented. The chapters include a collection of exercises designed to practice and deepen knowledge and skills on the topic.

The final part of the chapter presents the solved problems. This section serves as a guide to solving the problems in the collection.

i

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Katarína Cechlárová

Linear programming belongs to parts of mathematics with the greatest number of real applications. This Slovak-English problem collection provides an overview of basic knowledge in the area, application problems as well as problems to acquire routine in calculations. It is complemented by questions motivating the student to look for further theoretical principles, construct conterexamples  and formulate arguments to explain the studied phenomena.

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Jozef Bednarčík

Crystallography deals with discerning the arrangement and bonding of atoms in crystalline solids. Almost immediately after their discovery, X-rays began to be used to study the internal structure of substances.

The first chapter of this textbook deals with the basic concepts of crystallography. At the beginning, crystalline solids are characterized. In the next section, the basic types of bonds and their characteristics are briefly presented. The main subject of this chapter is the interpretation of basic concepts such as symmetry operations, translational periodicity, grid, elementary cell. Spatial lattices and crystal systems are presented. At the end of this chapter, attention is paid to the description of individual types of defects in crystal structures. In the second chapter, the Bohr model of the hydrogen atom is presented. Individual quantum numbers and their meaning are given.

Next, energy levels and allowed transitions within an atom with multiple electrons are described. The second chapter concludes with the characterization of the basic absorption and emission processes. The third chapter is devoted to the production of X-ray radiation and its properties. Sources of X-ray radiation and a description of their operation are presented.

Interaction of X-ray radiation with matter, absorption and detection of X-ray radiation are the subject of the last part of this chapter.

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