Walter Greiner

The series of texts on Classical Theoretical Physics is based on the highly successful courses given by Walter Greiner. The volumes provide a complete survey of classical theoretical physics and an enormous number of worked out examples and problems.

Systems of Particles and Hamiltonian Dynamics

Classical Mechanics

Berndt Müller

"Quantum Mechanics - An Introduction" lays the foundations for the rest of the series on advanced quantum theory based on W. Greiner's highly successful course on advanced quantum mechanics and field theory. Starting from black-body radiation, the photoelectric effect and wave-particle duality, Greiner goes on to discuss the uncertainty relations, and spin and many-body systems; he includes applications to the hydrogen atom and the Stern-Gerlach and Einstein-de Haas experiments. The mathematics of representation theory, S matrices, perturbation theory, eigenvalue problems and hypergeometric differental equations are presented in detail, with 84 fully and carefully worked examples and exercises to consolidate the material. This second edition has been slightly corrected where necessary, but remains otherwise unchanged.

Symmetries

Quantum Mechanics

"This book gives a solid understanding of the basic concepts and results of quantum mechanics including the historical background and philosophical questions...Many worked examples serve to illustrate the material while biographical and historical footnotes round off the content." Zentralblatt MATH

An Introduction

More than a generation of Gennan-speaking students around the world have worked their way to an understanding and appreciation of the power and beauty of modem theoretical physics - with mathematics, the most fundamental of sciences - using Waiter Greiner's textbooks as their guide. The idea of developing a coherent, complete presentation of an entire field of science in a series of closely related textbooks is not a new one. Many older physicists remember with real pleasure their sense of adventure and discovery as they worked their ways through the classic series by Sommerfeld, by Planck and by Landau and Lifshitz. From the students' viewpoint, there are a great many obvious advantages to be gained through use of consistent notation, logical ordering of topics and coherence of presentation; beyond this, the complete coverage of the science provides a unique opportunity for the author to convey his personal enthusiasm and love for his subject. The present five volume set, Theoretical Physics, is in fact only that part of the complete set of textbooks developed by Greiner and his students that presents the quantum theory. I have long urged him to make the remaining volumes on classical mechanics and dynamics, on electromagnetism, on nuclear and particle physics, and on special topics available to an English-speaking audience as well, and we can hope for these companion volumes covering all of theoretical physics some time in the future.

This carefully developed and well introduced text treats the unification of electromagnetic and weak interactions and considers related phenomena, providing an accessible introduction to the field. This third edition has been newly revised.

Gauge Theory of Weak Interactions

Intended for advanced undergraduates and beginning graduate students, this text is based on the highly successful course given by Walter Greiner at the University of Frankfurt, Germany. The two volumes on classical mechanics provide not only a complete survey of the topic but also an enormous number of worked examples and problems to show students clearly how to apply the abstract principles to realistic problems.

Point Particles and Relativity

Gauge Theory of Weak Interactions treats the unification of electromagnetic and weak interactions and considers related phenomena. First, the Fermi theory of beta decay is presented, followed by a discussion of parity violation, clarifying the importance of symmetries. Then the concept of a spontaneously broken gauge theory is introduced, and all necessary mathematical tools are carefully developed. The "standard model" of unified electroweak interactions is thoroughly discussed including current developments. The final chapter contains an introduction to unified theories of strong and electroweak interactions. Numerous solved examples and problems make this volume uniquely suited as a text for an advanced course. This second edition has been corrected and is presented in a new cover and format.

Joachim Reinhardt

The need for a second edition of our text on Quantum Electrodynamics has given us the opportunity to implement some corrections and amendments. We have corrected a number of misprints and minor errors and have supplied additional explanatory remarks at various places. Furthermore some new material has been included on the magnetic moment of the muon (in Example 5. 6) and on the Lamb shift (in Example 5. 8). Finally, we have added the new Example 3. 17 which explains the equivalent photon method. We thank several colleagues for helpful comments and also are grateful to Dr. R. Mattiello who has supervised the preparation of the second edition of the book. Furthermore we acknowledge the agreeable collaboration with Dr. H. J. K6lsch and his team at Springer-Verlag, Heidelberg. Frankfurt am Main, Walter Greiner July 1994 Joachim Reinhardt Preface to the First Edition Theoretical physics has become a many-faceted science. For the young student it is difficult enough to cope with the overwhelming amount of new scientific material that has to be learned, let alone obtain an overview of the entire field, which ranges from mechanics through electrodynamics, quantum mechanics, field theory, nuclear and heavy-ion science, statistical mechanics, thermodynamics, and solid state theory to elementary-particle physics. And this knowledge should be acquired in just 8-10 semesters, during which, in addition, a Diploma or Master's thesis has to be worked on or examinations prepared for.

Quantum Electrodynamics

Andreas Schäfer

Quantum Chromodynamics is a thorough introduction for students in theoretical physics and scientists needing a reference and exercise book in this field. The book presents the necessary mathematical tools together with many examples and worked problems. In introductory chapters the reader becomes familiar with the hadron spectrum, while the SU(N) symmetry groups and the relativistic field theory are briefly recapitulated; then a discussion of scalar quantum electrodynamics and scattering reactions follow before gauge quark-quark interactions, perturbational QCD, renormalization groups, and tests of pertubational QCD are all treated in detail. Chapters on non-perturbational QCD and quasi-phenomenological applications conclude the text.

Quantum Chromodynamics

The NATO Advanced Study Institute on Physios of St~ong Fields was held at Maratea/Italy from 1-14 June, 1986. The school was devoted to the advances, theoretical and experimental, in physics of strong fields made during the past five years. The topic of the first week was almost exclusively quantum electrodynamics, with dis cussions of symmetry breaking in the ground state, of the physics of strong fields in heavy ion collisions and of precision tests of perturba tive quantum electrodynamics. The famous positron lines found at GSI (Darmstadt) and the related question "new particle versus vacuum decay" - (yes or no or both) - constituted the center of experimental advances. This was followed in the second week by the presentation of a broad range of other areas where strong fields occur, reaching from nuclear physics over quantum chromodynamics to gravitation theory and astrophysics. We were fortunate to be able to calIon a body of lecturers who not only made considerable personal contributions to this research but who are also noted for their lecturing skills. Their enthusiasm and dedication for their work was readily transmitted to the students resulting in a very suc cessful school.

Physics of Strong Fields

César A Zen Vasconcellos

Bardo E J Bodmann

Horst Stoecker

Marcelo J Reboucas

Valdir B Bezerra

This book presents scientific research on the central theme of new states of matter and new phenomena in the universe. The topics covered range from the big bang, through topics including the formation of exotic stars, black holes and the plasma of quarks and gluons by heavy ion reactions, to the influence of dark matter and dark energy in the evolution of the universe. Scientific interest in these themes has been growing: together with the development of major projects such as AUGER, LHC, FERMI Telescope, FAIR/GSI and GEO/LIGO, the diversity and scope of research on such themes has been on the rise. The content is detailed enough to capture the interest of experts in the field and is useful for future explorations on these fascinating themes. Contents:Supercritical Fields, Extreme Neutron-Rich Isotopes, and Short Living Giant Atoms (W Greiner)Quark-Gluon Plasma in Neutron Stars (R B Jacobsen et al.)An Investigation of the Coupling Constants in Quantum Hadrodynamics Effective Models (L N Burigo et al.)Neutron Stars in an Effective Model with Adjustable Coefficients (A Mesquita et al.)Color Superconductivity with 2 and 3 Flavors in the Chromodielectric Model (M Vidalis & M Malheiro)Analogue of Superradiance Effect in Acoustic Black Hole in the Presence of Disclination (F A Gomes & G A Marques)On the Quintessence Scalar Field Potential (J A E Carrillo et al.)Dark Energy Equation of State and Cosmic Topology (S D P Vitenti et al.)Some Topological Effects in Safko–Witten Spacetime (V B Bezerra)and other papers Readership: Students and professionals interested in astronomy and astrophysics. Keywords:General Relativity;Gravitation;Cosmology;Compact Stars;Cosmic Matter in the Laboratory;IwaraKey Features:This book features prominent scientists as contributors, including Walter Greiner, Horst Stoeker, Fridolin Weber and Marcelo GleiserIt provides a comprehensive overview on the important theme of compact stars and related topicsIt provides an overview of the research front on new phenomena and new states of matter in the universe

New Phenomena and New States of Matter in the Universe

Astronomy and Relativistic Astrophysics

Judah M. Eisenberg

Hardbound. This third enlarged and revised edition incorporates seven extensive new chapters on the general collective model for low-energy modes. In addition there is a new section 4.4 on coordinate symmetries in the collective model, and a new section 13.8 on the two-center shell model, as well as many changes in text figures, tables and references where experimental ortheoretical developments over the past two decades have brought about new information and understanding.

Nuclear Theory: Nuclear models

More than a generation of Gennan-speaking students around the world have worked their way to an understanding and appreciation of the power and beauty of modern theoretical physics - with mathematics, the most fundamental of sciences - using Walter Greiner's textbooks as their guide. The idea of developing a coherent, complete presentation of an entire field of science in a series of closely related textbooks is not a new one. Many older physicists remember with real pleasure their sense of adventure and discovery as they worked their ways through the classic series by Sommerfeld, by Planck and by Landau and Lifshitz. From the students' viewpoint, there are a great many obvious advantages to be gained through use of consistent notation, logical ordering of topics and coherence of presentation; beyond this, the complete coverage of the science provides a unique opportunity for the author to convey his personal enthusiasm and love for his subject. The present five volume set, Theoretical Physics, is in fact only that part of the complete set of textbooks developed by Greiner and his students that presents the quantum theory. I have long urged him to make the remaining volumes on classical mechanics and dynamics, on electromagnetism, on nuclear and particle physics, and on special topics available to an English-speaking audience as well, and we can hope for these companion volumes covering all of theoretical physics some time in the future.

Volume 5: Gauge Theory of Weak Interactions

Theoretical Physics Text and Exercise Books

Mikhail G. Itkis

Mehmet Cem Güçlü

Ladies and gentlemen, dear colleagues, welcome to Kemer to the NATO Advanced Study Institute Structure and Dynamics of Elementary Matter. We have chosen Kemer as the place of our NASI because it is located in a be- tiful and hospitable surrounding. This part of the Mediterranean at the Turkish Riviera is a historic region where many cultures meet (e.g., the Oriental and the Greek and Roman European cultures) and where you ?nd numerous places which played a role in ancient science and in early Christianity. Moreover, with the hotel Ceylan Inter-Continental we have found a most excellent me- ing place, directly located at the beach, equipped with wonderful swimming pools and restaurants – an absolutely ?rst-class location. Our NASIwill deal withthemost recent developmentsin high-energyheavy ionphysicsandinthesearchforsuperheavynuclei–tworatherdistinctareasof research. Indeed, we want to bring two very active communities of nuclear and high-energy physics into close contact. The meeting is both a school and has also the character of a conference: A school because there are many advanced students, many of which are themselves already top researchers and who are contributing with their own research in seminars and posters. It is also a c- ference because new results in the exciting and wonderful ?elds of low- and high-energy heavy ion physics will be presented. We are mainly focussing on the topics of superheavy elements and of hot and dense nuclear matter.

Structure and Dynamics of Elementary Matter

Stefan Schramm

Eckart Stein

The third edition of this outstanding volume has been extensively revised and enlarged to cover all new aspects in Quantum chromodynamics. It first reviews relativistic quantum field theory and details scattering theory in the framework of scalar quantum electrodynamics. The book then introduces the gauge theory of quarks and gluons. In addition, more advanced chapters present a through discussion of perturbative and nonperturbative techniques in state-of-the-art QCD. Throughout, worked-out examples provide hands-on experience for students in theoretical physics. Research scientists will also find the book an ideal reference.

B. Müller

J. Rafelski

The fundamental goal of physics is an understanding of the forces of nature in their simplest and most general terms. Yet there is much more involved than just a basic set of equations which eventually has to be solved when applied to specific problems. We have learned in recent years that the structure of the ground state of field theories (with which we are generally concerned) plays an equally funda mental role as the equations of motion themselves. Heisenberg was probably the first to recognize that the ground state, the vacuum, could acquire certain prop erties (quantum numbers) when he devised a theory of ferromagnetism. Since then, many more such examples are known in solid state physics, e. g. supercon ductivity, superfluidity, in fact all problems concerned with phase transitions of many-body systems, which are often summarized under the name synergetics. Inspired by the experimental observation that also fundamental symmetries, such as parity or chiral symmetry, may be violated in nature, it has become wide ly accepted that the same field theory may be based on different vacua. Practical ly all these different field phases have the status of more or less hypothetical models, not (yet) directly accessible to experiments. There is one magnificent ex ception and this is the change of the ground state (vacuum) of the electron-posi tron field in superstrong electric fields.

With an Introduction into Modern Relativistic Quantum Mechanics

Quantum Electrodynamics of Strong Fields

Hardbound. Twenty years have passed since work began on this three-volume series in nuclear theory. During that time span the subject matter has changed enormously. Where volume two is concerned this period has seen the unification of its two main topics - electromagnetic interactions and weak interactions - and a consolidation of the theoretical treatment of strongly-interacting nuclear probes. Thus this third edition incorporates a new chapter on electroweak interactions in their unified form, and a new chapter on nuclear reaction theory, as well as numerous smaller changes to update the material. The subject matter is presented in detail and is closely reasoned so that the book is particularly suitable for use in graduate-level nuclear physics courses, as well as being of value to research workers in this field.

Excitation Mechanisms of the Nucleus

Professor at the Institute of Theoretical Physics Walter Greiner

This detailed introduction develops the concepts and techniques of field quantization, including both the traditional methods of cannonical quantization and the modern approach using path integrals. It is intended for readers well-versed in the basics of quantum mechanics.

Field Quantization

Quantum Mechanics: An introduction

Nuclear physics is an exciting, broadly faceted field. It spans a wide range of topics, reaching from nuclear structure physics to high-energy physics, astrophysics and medical physics (heavy ion tumor therapy). New developments are presented in this volume and the status of research is reviewed. A major focus is put on nuclear structure physics, dealing with superheavy elements and with various forms of exotic nuclei: strange nuclei, very neutron rich nuclei, nuclei of antimatter. Also quantum electrodynamics of strong fields is addressed, which is linked to the occurrence of giant nuclear systems in, e.g., U+U collisions. At high energies nuclear physics joins with elementary particle physics. Various chapters address the theory of elementary matter at high densities and temperature, in particular the quark gluon plasma which is predicted by quantum chromodynamics (QCD) to occur in high-energy heavy ion collisions. In the field of nuclear astrophysics, the properties of neutron stars and quark stars are discussed. A topic which transcends nuclear physics is discussed in two chapters: The proposed pseudo-complex extension of Einstein's General Relativity leads to the prediction that there are no black holes and that big bang cosmology has to be revised. Finally, the interdisciplinary nature of this volume is further accentuated by chapters on protein folding and on magnetoreception in birds and many other animals.

Walter Greiner

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