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Qauntum theory of magnetism
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E-book
This is a supporting text for the undergraduate students interested in quan- tum theory of magnetism. The text represents an introduction to various theoretical approaches used in this eld. It is an open material, in the sense that it will be supported by appropriate problems to be solved by student at seminars and also as a homework.
The text consists of four chapters that form closed themes of the in- troductory quantum theory of magnetism. In the rst part we explain the quantum origin of the magnetism illustrating the appearance of the ex- change interaction for the case of hydrogen molecule. The second chapter is devoted to the application of the Bogolyubov inequality to the Heisenberg model and it represents the part which is usually missing in the textbooks of magnetism. The third chapter deals with the standard spin wave-theory including the Bloch and Holstein-Primakoff a approach. Finally, we discuss the application of the Jordan-Wigner transformation to one-dimensional spin-1/2 XY model.
The primary ambition of this supportive text is to explain diverse math- ematical methods and their applications in the quantum theory of mag- netism. The text is written in the form which should be sufficient to de- velop the skills of the students up to the very high level. In fact, it is expected that students following this course will able to make their own original applications of the methods presented in this book.
Data sheet
- Method of publication:
- E-book (pdf)
- Author:
- Michal Jaščur
- Document type:
- Academic textbook - scripts
- Number of pages:
- 65
- Available from:
- 10.10.2013
- Year of publication:
- 2013
- Edition:
- 2nd edition
- Publication language:
- English
- Faculty:
- Prírodovedecká fakulta
Thank you for the reviews ! Your comment is submitted
16 other products in the same category:
Matematická analýza 1
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This text is intended for first-year students in 76-12-8 ‘General Education Teaching’ in combinations with mathematics. It is based on the authors' lectures and their more than ten years of experience in teaching this subject at the Faculty of Education of the University of Applied Sciences. When writing it, the authors tried to take into account the specificity of mathematics teaching studies.
The present teaching text was not written due to the lack of textbooks on mathematical analysis. The reason for writing it was the authors' findings that the students do not have sufficient experience in working with specialized literature from secondary school, the difficulties for many of them (especially in the first semesters) are caused by even a slightly different interpretation, not rarely also by a change in labeling, which makes them miss the essence of the studied problem. The authors of the text did not set out to be original. Their aim was to make such a selection of topics as is necessary for a future teacher of mathematics and to choose such a method of interpretation which, in their opinion, is suitable for first-year students.
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The proposed text focuses on the history of studying biology, medicine, and pharmacy as scientific disciplines from prehistoric times through antiquity, the Middle Ages, and the modern era. The text chronologically organizes the most significant figures in the history of biological scientific disciplines, outlines key characteristics of major historical discoveries, and reevaluates their significance from the perspective of 21st-century science.
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Since it can sometimes be challenging in science to define what constitutes the past versus the present of a particular discipline, we have excluded significant biological discoveries from the early 21st century, which are typically regarded as the “present” of biology.
Študentská vedecká konferencia PF UPJŠ 2015
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Bibliography of the amphibian and reptile...
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Bibliographies provide basic scientific information, illustrate quality and intensity of research in a particular topic, area, or time, and thus help build a cultural-historical perspective of society’s appreciation of knowledge and education. Here we provide a bibliography of herpetological research in the region of Slovakia between the years 1791 and 2017. We collected 2,183 references authored by 1,453 different authors and covering all species of amphibians (18) and reptiles (13) occurring in Slovakia and, in addition, amphibian and reptile taxa occurring in 94 other countries.
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Matematická analýza 1
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This text is intended for first-year students in 76-12-8 ‘General Education Teaching’ in combinations with mathematics. It is based on the authors' lectures and their more than ten years of experience in teaching this subject at the Faculty of Education of the University of Applied Sciences. When writing it, the authors tried to take into account the specificity of mathematics teaching studies.
The present teaching text was not written due to the lack of textbooks on mathematical analysis. The reason for writing it was the authors' findings that the students do not have sufficient experience in working with specialized literature from secondary school, the difficulties for many of them (especially in the first semesters) are caused by even a slightly different interpretation, not rarely also by a change in labeling, which makes them miss the essence of the studied problem. The authors of the text did not set out to be original. Their aim was to make such a selection of topics as is necessary for a future teacher of mathematics and to choose such a method of interpretation which, in their opinion, is suitable for first-year students.
A good mastery of the curriculum (expansion of the mathematical apparatus and the related possibilities of applying other methods of proof as well as the acquisition of the necessary numerical skills) presupposes the use of other literary sources (textbooks, collections of problems) according to the teacher's recommendation.
HOST-GUEST A SUPRAMOLEKULOVÁ CHÉMIA
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The university textbook entitled: Host-guest and supramolecular chemistry provides basic information about this scientific field as well as the types of compounds that belong to it. It provides basic characteristics of non-bonded interactions as well as methods of characterization and classification for these compounds. It summarizes knowledge about various types of host-guest systems from the oldest such as Hofmann clathrates to inclusive compounds such as cyclodextrins and calixarenes. In addition to structural and synthetic information, which is supplemented with images, the textbook also addresses the possibilities of application or practical use of compounds. The conclusion of each chapter is supplemented with tasks for elaboration on a given topic.
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The textbook "Bioenergetics" should serve as an introduction to the study of bioenergetics. This field of science is currently highly actual, as the results of the bioenergetics research in recent years clearly show that bioenergetics processes in living systems can "serve" not only to transformation of energy, but also affect the course of processes such as apoptosis, aging, origin and development of many diseases (especially neurodegenerative).
These facts clearly indicate the need for the existence of quality teaching texts that would allow students to acquire the necessary information and knowledge in this scientific discipline in an acceptable way. For the above mentioned reasons, we decided to create these textbooks, which are in the form of ten chapters, which naturally and logically follow each other.
Prehľad dejín biológie, lekárstva a farmácie
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Martin Bačkor - Miriam Bačkorová
The proposed text focuses on the history of studying biology, medicine, and pharmacy as scientific disciplines from prehistoric times through antiquity, the Middle Ages, and the modern era. The text chronologically organizes the most significant figures in the history of biological scientific disciplines, outlines key characteristics of major historical discoveries, and reevaluates their significance from the perspective of 21st-century science.
The educational text is chronologically divided into the most significant periods of civilization development. The last two completed centuries—the 19th and 20th—are subdivided into major life science fields due to the unprecedented growth of biological disciplines and the resulting volume of acquired information.
Since it can sometimes be challenging in science to define what constitutes the past versus the present of a particular discipline, we have excluded significant biological discoveries from the early 21st century, which are typically regarded as the “present” of biology.
Študentská vedecká konferencia PF UPJŠ 2015
E-book
Vladimír Zeleňák(ed.)
The proceedings contain abstracts of contributions from participants of the Student Scientific Conference of the Faculty of Science, Pavol Jozef Šafárik University in Košice, which took place on April 22, 2015.
The Student Scientific Conference (SSC) enjoys long-term popularity among the faculty's students and teachers, and we are pleased that this was no different this year, with 128 contributions submitted to the SSC.
The contributions were organized into 19 sections, additionally complemented by an open programming competition and the final of the IHRA contest. For many students, presenting at the SSC is one of the first opportunities to gain experience in presenting their results before a professional audience. Considering the number of submitted contributions, along with the members of the expert juries from the faculty's teaching staff and the audience who came to support their classmates' presentations, the SSC is an event where a large part of the student and academic community of the faculty meets at one place and time. Many abstracts presented in this proceedings were developed as part of students' work on partial tasks that are components of research projects at the departments of the Faculty of Science, Pavol Jozef Šafárik University.
The abstracts represent, in a way, an overview of research topics at the individual workplaces of the faculty. The SSC proceedings thus serve as a useful tool that students and faculty teachers can use to present the faculty externally to partners, employers, and potential collaborators. Partners from practice have shown interest in cooperating in organizing the SSC for a long time. Since 2005, the association of IT companies has awarded a Prize for the Most Original Work and a Prize for the Work with the Best Prospects for Practical Application.
Náhodné procesy a ich aplikácie
E-book
Valéria Skřivánková - Martina Hančová
The publication is focused on discrete random processes, primarily on Markov chains, which have wide application in the field of economics and finance.
The textbook is divided into five chapters, the first of which serves as an introduction to random processes and provides definition, properties and classification of random processes in general. The second chapter discusses Markov chains with discrete time, including valuation of transitions between states and their optimal management. The third chapter focuses on special Markov chains with continuous time and emphasizes construction and solution to the system of Kolmogorov differential equations, which describe the dynamics of the process development. The last two chapters illustrate applications of Markov chains using examples of queuing system modeling and renewal theory.
Besides the explanation of basic terms, definitions and theorems with proofs, this textbook also provides number of solved examples to illustrate the discussed theory. Problem assignments are placed at the end of each chapter, so that readers can test their understanding of the content as they progress through the book. Solutions to all the problems and the list of references are provided at the end of the publication.
This textbook is primarily intented for students majoring in Economics and Financial Mathematics at the Faculty of Science of Pavol Jozef Šafárik University in Košice, and it covers content of the course “Random Proceses 1“ thought there. It might however serve also students from other schools in similar progams or professionals interested in this topic.
NOVEL TRENDS IN CHEMISTRY, RESEARCH AND...
E-book
The scientific book of abstracts from the conference „Novel Trends in Chemistry, Research and Education 2023“ 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 fields of analytical, inorganic, organic, physical chemistry, biochemistry, didactics of chemistry, and NMR spectroscopy.
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Kvantová teória poľa 1
E-book
Michal Hnatič - Tomáš Lučivjanský
This textbook is primarily intended for first-year master's degree students at Pavol Jozef Šafárik University in Košice, especially those in the nuclear physics, subnuclear physics, and theoretical physics programs. For many years, these lectures were taught by one of the authors at this university, and naturally, over time, there arose an effort to provide these lectures to students in printed form.
In this textbook, we will focus mainly on classical field theory, its quantization based on the operator approach, and the introduction of interactions. Descriptions based on functional integration, Feynman diagram techniques, and more advanced parts will be covered in a subsequent volume of the textbook. In this context, we want to emphasize that in many modern quantum field theory textbooks, the operator approach is used to a lesser extent and is replaced by the approach using (functional) path integrals.
This is probably due to time considerations, as the functional approach leads much faster to practical calculations. On the other hand, we believe that the operator approach is better from a pedagogical point of view. It is much closer to the traditional quantum mechanics course, which is often based on the Schrödinger or Heisenberg formalism. Therefore, students can much more easily follow the flow of ideas that led to the construction of quantum field theory and its fundamental concepts.
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UNINFOS 2014 • Univerzitné informačné systémy...
E-book
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.
Vybrané heterocyklické zlúčeniny
E-book
The aim of writing the university textbook "Selected Heterocyclic Compounds" was to create a study aid for students of the Organic Chemistry program, which provides essential information in a clear format for the subject of Heterocyclic Compounds. In selecting the content of the textbook, the goal was to present basic information about the chemistry of the most significant heterocycles. Given that the summary of chemical knowledge about heterocycles is vast, it was not possible to include all heterocyclic compounds in the content.
The intention was for readers to orient themselves in the field of heterocyclic compounds. Separate chapters included in the content address the nomenclature of heterocycles, basic chemical properties of individual heterocycles, their synthesis and reactions, the occurrence of heterocycles in nature, and their practical applications (medications, dyes, pesticides, detergents, etc.).
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Chemické výpočty vo všeobecnej a anorganickej...
E-book
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
Úvod do porovnávacej morfológie živočíchov
E-book
The structure of the animal body is extremely varied. Each species has its distinctive morphological features, which bears as a testimony to long-term development and belonging to the developmental lineage. At the same time, the body has been tested for a long time by natural conditions, resulting in unique adaptations to the environment and life strategy. Despite this admirable variety - which includes both recent and fossil animals and which we have far from mapped – a comparison of body parts brings knowledge we can generalize: the main building principles, and boundaries within which phenotypic diversity is realized.
Comparative animal morphology today uses the latest methodological material and knowledge from other disciplines, from genetics, molecular biology and experimental embryology, through progressive imaging methods (e.g. electron microscopy, computer micro-tomography) and the possibilities of subsequent software processing of image material (measurement, staining, etc.) to the view of physics, chemistry, statics and geometry on the structures (to nanostructures) of the living body. Detailed knowledge of historical and contemporary conditions on Earth is an important interpretative context in the study of animal morphology. Surprisingly, the knowledge accumulated after centuries of research is now rapidly supplemented by new knowledge, and often the traditional knowledge is subsequently reinterpreted. Finally, and no less important, in studying animal (and human) morphology, we learn surprising knowledge about ourselves.
The author of the presented textbook had the ambition in a simplified form to introduce the reader, especially the student of biological studies, into a dynamic and fascinating scientific discipline, as the current comparative animal morphology is.
Fotonika
E-book
Photonics is an application-oriented discipline at the interface of optics, opto-electronics and quantum optics. It includes classical optics extended by the description of physical phenomena and optical devices that rely on quantum (photon) nature of light.
The main objective of the Photonics course is to provide a comprehensive overview of essential optical and photonic phenomena routinely applied in experimental scientific research while working with various light sources (e.g. in the field of biophotonics). The first chapters are devoted to the description of light at different levels. The logical order of subsections in this part corresponds to the structure of the textbook: B. E. A. Saleh, M. C. Teich, Fundamentals of Photonics. The following chapters contain a description of laser operation and an overview of selected optical instruments and their applications.
The body text is complemented by practical notes on the use of theoretical knowledge during daily work in the laboratory. The course of Photonics requires a basic knowledge of mathematics, electromagnetism and optics, and thus it is recommended to students who previously passed through the courses of the Bachelor's program in Physics.
Bibliography of the amphibian and reptile...
E-book
Marcel Uhrin - David Jandzik - Andrej Čerňanský - Michal Rindoš - Blanka Lehotská - Stanislav Danko - Ján Kautman - Peter Mikulíček - Peter Urban - Daniel Jablonski
Bibliographies provide basic scientific information, illustrate quality and intensity of research in a particular topic, area, or time, and thus help build a cultural-historical perspective of society’s appreciation of knowledge and education. Here we provide a bibliography of herpetological research in the region of Slovakia between the years 1791 and 2017. We collected 2,183 references authored by 1,453 different authors and covering all species of amphibians (18) and reptiles (13) occurring in Slovakia and, in addition, amphibian and reptile taxa occurring in 94 other countries.
Most of the contributions were published in popular magazines and non-indexed journals, while only about 12% of all references represent scientific articles from journals indexed in relevant scientific databases. The extensiveness of study on amphibians and reptiles has varied among different periods within the selected time frame. However, an obvious intensification in the field of herpetology can be observed, especially during the second half of the 20th century. While there have only been few professionals specialized in herpetology, an important role in promoting the research and conservation of amphibians and reptiles in Slovakia has been played by non-governmental organizations and hobbyists. The most frequent type of herpetological data in the referenced literature comes from faunistic research, followed by conservation and general information on herpetofauna, with the majority of published articles in indexed journals coming from the fields of palaeontology, phylogeography, and population genetics.
The presented bibliography is the first step towards building a solid base for future systematic herpetological research in the country and Central Europe.
Matematická analýza 1
E-book
Božena Mihalíková - Ján Ohriska
This text is intended for first-year students in 76-12-8 ‘General Education Teaching’ in combinations with mathematics. It is based on the authors' lectures and their more than ten years of experience in teaching this subject at the Faculty of Education of the University of Applied Sciences. When writing it, the authors tried to take into account the specificity of mathematics teaching studies.
The present teaching text was not written due to the lack of textbooks on mathematical analysis. The reason for writing it was the authors' findings that the students do not have sufficient experience in working with specialized literature from secondary school, the difficulties for many of them (especially in the first semesters) are caused by even a slightly different interpretation, not rarely also by a change in labeling, which makes them miss the essence of the studied problem. The authors of the text did not set out to be original. Their aim was to make such a selection of topics as is necessary for a future teacher of mathematics and to choose such a method of interpretation which, in their opinion, is suitable for first-year students.
A good mastery of the curriculum (expansion of the mathematical apparatus and the related possibilities of applying other methods of proof as well as the acquisition of the necessary numerical skills) presupposes the use of other literary sources (textbooks, collections of problems) according to the teacher's recommendation.
HOST-GUEST A SUPRAMOLEKULOVÁ CHÉMIA
E-book
The university textbook entitled: Host-guest and supramolecular chemistry provides basic information about this scientific field as well as the types of compounds that belong to it. It provides basic characteristics of non-bonded interactions as well as methods of characterization and classification for these compounds. It summarizes knowledge about various types of host-guest systems from the oldest such as Hofmann clathrates to inclusive compounds such as cyclodextrins and calixarenes. In addition to structural and synthetic information, which is supplemented with images, the textbook also addresses the possibilities of application or practical use of compounds. The conclusion of each chapter is supplemented with tasks for elaboration on a given topic.
Bioenergetika
E-book
The textbook "Bioenergetics" should serve as an introduction to the study of bioenergetics. This field of science is currently highly actual, as the results of the bioenergetics research in recent years clearly show that bioenergetics processes in living systems can "serve" not only to transformation of energy, but also affect the course of processes such as apoptosis, aging, origin and development of many diseases (especially neurodegenerative).
These facts clearly indicate the need for the existence of quality teaching texts that would allow students to acquire the necessary information and knowledge in this scientific discipline in an acceptable way. For the above mentioned reasons, we decided to create these textbooks, which are in the form of ten chapters, which naturally and logically follow each other.