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  • Categories: Law
  • Categories: Science
  • Year of publication:: 2009
  • Year of publication:: 2013
  • Year of publication:: 2015
  • Publication language:: English
Qauntum theory of magnetism

Qauntum theory of magnetism

E-book

E-book

Michal Jaščur

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.

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Regionalism and Its Contribution to General International Law

Regionalism and Its Contribution to General...

E-book

E-book

Ján KlučkaĽudmila Elbert

The present monograph "Regionalism and its Contribution to General International Law" was written at the Institute of European Law and Department of International Law, Faculty of Law, Pavol Jozef Safarik University in Kosice, as a part of the project (APVV-O823-11) carried out in 2011-2015, representing one of its final publication utputs. 

The main reason for choosing the topic was to evaluate regionalism in its various relationships and forms with respect to international law, and also to evaluate the place,importance and duties of international law in respect to the establishment and functioning of various forms of regionalgroups.

It is a fact that even though a lot of attention has been paid to regionalism, a more complex evaluation of the impact it has had on international law, and vice versa, is still lacking. The efforts of the present monograph are to partially eliminate this gap.

After giving a brief insight into how regionalism has developed, its content and terminology, the monograph studies in more details individual types of regionalism in the form of old and new regionalism, as well as treaty and institutional regionalism; its specifications and contributions to the international law.

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English for Chemists

English for Chemists

E-book

E-book

Božena Velebná

The following material has been created during the two years of teaching English for Chemists at the Faculty of Science of the Pavol Jozef Šafárik University and is therefore designed to meet the needs of this course. The main motivation was the lack of appropriate materials, especially as the groups generally comprise students with a very diverse level of English. This diversity therefore became the main criterion determining both the form and the content of this text.

In the ten units that provide material for a one semester course, the emphasis is put on teaching the students vocabulary and terminology, which is introduced via authentic texts, depending on the topic of each unit. Students are encouraged to learn the meaning of new words in context. Grammar is included too, with the aim of demonstrating and explaining grammatical rules by means of examples taken directly from the texts. For the more advanced students, grammatical exercises in this material can serve for revision while the beginners might need more supplementary materials.

I hope that this material, the preparation of which has been a challenging as well as enjoyable experience will be useful for future teachers and the students of this course.

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