This book explains the Lorentz group in a language familiar to physicists, namely in terms of two-by-two matrices. While the three-dimensional rotation group is one of the standard mathematical tools in physics, the Lorentz group applicable to the four-dimensional Minkowski space is still very strange to most physicists. However, it plays an essential role in a wide swathe of physics and is becoming the essential language for modern and rapidly developing fields. The first edition was primarily based on applications in high-energy physics developed during the latter half of the 20th Century, and the application of the same set of mathematical tools to optical sciences. In this new edition, the authors have added five new chapters to deal with emerging new problems in physics, such as quantum optics, information theory, and fundamental issues in physics including the question of whether quantum mechanics and special relativity are consistent with each other, or whether these two disciplines can be derived from the same set of equations. Key features <ul><li>Mathematical tools for all branches of physics</li><li>Mathematics expressed in a language for physicists</li><li>Focus on applications across physics disciplines</li><li>Significantly extended new edition to include applications in modern areas of research</li></ul>

Physics of the Lorentz Group

Science & Math

Kim, Young

Noz, Marilyn E.

Başkal, Sibel

Mathematics

IOP Publishing Ltd.

Physics of the Lorentz Group (Iop Concise Physics)

Kim, Young S

Physics

IOP Concise Physics

This book explains the Lorentz mathematical group in a language familiar to physicists. While the three-dimensional rotation group is one of the standard mathematical tools in physics, the Lorentz group of the four-dimensional Minkowski space is still very strange to most present-day physicists. It plays an essential role in understanding particles moving at close to light speed and is becoming the essential language for quantum optics, classical optics, and information science. The book is based on papers and books published by the authors on the representations of the Lorentz group based on harmonic oscillators and their applications to high-energy physics and to Wigner functions applicable to quantum optics. It also covers the two-by-two representations of the Lorentz group applicable to ray optics, including cavity, multilayer and lens optics, as well as representations of the Lorentz group applicable to Stokes parameters and the Poincar sphere on polarization optics.

This book is intended mainly as a teaching tool directed toward those who desire a deeper understanding of group theory in terms of examples applicable to the physical world and/or of the physical world in terms of the symmetry properties which can best be formulated in terms of group theory. Both advanced students and scholars interested in the relationship between group theory and physics will find it instructive. In particular, those engaged in high-energy physics and foundations of quantum mechanics will find this book rich in illustrative examples of relativistic quantum mechanics. &nbsp; This new edition contains four new chapters, two of which are consistent with Dirac's aim to combine the important developments in physics in the twentieth century, namely quantum mechanics and special relativity. &nbsp;Moreover, these new chapters also discuss various aspects of classical and quantum optics that are now understood to be interrelated.&nbsp; Most of the original chapters have been updated, either with new material added or in some instances reinterpretation of the original.&nbsp; The order of the chapters has been rearranged to create a more cohesive presentation. The original purpose of the first edition, namely to present examples to which physics students and researchers can relate, has not been altered. &nbsp;

Theory and Applications of the Poincaré Group (Fundamental Theories of Physics, 217)

Kim, Young Suh

Springer

PHASE SPACE PICTURE OF QUANTUM MECHANICS: GROUP THEORETICAL APPROACH (World Scientific Lecture Notes in Physics)

This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schrödinger or Heisenberg picture. It is shown that the uncertainty relation can be represented more accurately in this picture. In addition, the phase space picture is shown to be the natural representation of quantum mechanics for modern optics and relativistic quantum mechanics of extended objects.

World Scientific Publishing Company

This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schrodinger or Heisenberg picture. It is shown that the uncertainty relation can be represented more accurately in this picture. In addition, the phase space picture is shown to be the natural representation of quantum mechanics for modern optics and relativistic quantum mechanics of extended objects.

This book takes a very practical approach to radiation protection and presents very readable information for anyone working in the radiation field or with radioactive material. Offering information rarely found elsewhere, the authors describe in detail both the basic principles and practical implementation recommendations of radiation protection. Each chapter includes self-assessment review questions and problems, with answers provided, to help readers master important information. Coupled with a teacher's manual, this book is highly suitable as an undergraduate text for students preparing for careers as X-ray, radiation oncology, or nuclear medicine technologists. It can also be used as a reference for residents in any radiology and radiation oncology, medical personnel, or anyone working with radioactive materials such as those at a nuclear power plant.

RADIATION PROTECTION IN THE HEALTH SCIENCES

Maguire, Gerald Q.

World Scientific Pub Co Inc

This text takes a practical approach to presenting a source of radiation protection material for anyone working in the areas of radiological and health sciences. It is a suitable text on the subject for students preparing for careers as radiologic and nuclear medicine technologists, for residents, or for medical health physicists. It is a reference guide for anyone using radiation in the health field, including the physicians. The first seven chapters consist of radiation protection principles which have general application. These include a discussion of instruments used in the field of radiation protection both for area and personnel monitoring. Additionally, a description is given of SI units for radioactivity, exposure, absorbed dose, kerma and effective/equivalent dose as well as risk assessment and the current recommendations of the International Commission on Radiation Protection (ICRP) and the United States National Council on Radiation Protection and Measurements (NCRP). The basic radiation principles of time, distance and shielding are also discussed here. The next three chapters are concerned with the practical implementation in the workplace of the principles discussed earlier, including a chapter on specific recommendations for the safe use of common sources of radiation, the laws governing the use of these sources and the calculation of shielding required for these various sources of radiation. The last two chapters detail the methods of calculating absorbed dose from internally deposited radionuclides (including a discussion on the method proposed by the Medical Internal Radiation Dose (MIRD) Committee of the Society of Nuclear Medicine) and external radiation (including a discussion of the Bragg-Gray method). Each chapter has self-assessment review questions and problems as a useful aid to retaining important information. The four appendices discuss the current status of the units and their current and former usage as well as the concepts of logarithms. A complete glossary and set of references are also included. Answers to the problems are provided at the end of the book.

Radiation Protection: In the Health Sciences

Radiation Protection in the Health Sciences (with Problem Solutions Manual) (2nd Edition)

Maguire Jr, Gerald Q

See the best price to sell, buy, or rent books by Noz, Marilyn E.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Noz, Marilyn E.

See the best price to sell, buy, or rent books by Noz, Marilyn E.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Physics of the Lorentz Group

Physics of the Lorentz Group (Iop Concise Physics)

Physics of the Lorentz Group (Iop Concise Physics)

Theory and Applications of the Poincaré Group (Fundamental Theories of Physics, 217)

PHASE SPACE PICTURE OF QUANTUM MECHANICS: GROUP THEORETICAL APPROACH (World Scientific Lecture Notes in Physics)

PHASE SPACE PICTURE OF QUANTUM MECHANICS: GROUP THEORETICAL APPROACH (World Scientific Lecture Notes in Physics)

RADIATION PROTECTION IN THE HEALTH SCIENCES

Radiation Protection: In the Health Sciences

Radiation Protection in the Health Sciences (with Problem Solutions Manual) (2nd Edition)

Radiation Protection in the Health Sciences (with Problem Solutions Manual) (2nd Edition)