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Angular Momentum: An Illustrated Guide to Rotational Symmetries for Physical Systems

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If a physical system has only internal interactions and if space is isotropic, then intrinsic properties of the system must be independent of its orientation and must be indistinguishable in all directions. From this fundamental rotational symmetry concept the theory of angular momentum has been developed into a sophisticated analytical and computational technique, especially when applied to quantum mechanics. I aim in this book to develop angular momentum theory in a pedagogically consistent way, starting from the geometrical concept of rotational invariance rather than from the dynamical idea of orbital angular momentum and its quantization. The latter approach, though hallowed by tradition, needlessly confuses quantum mechanics with geometry.

Topics are presented in an order so that new concepts are introduced and relevant formulas are derived in ways arising naturally in the treatment rather than by appealing to unfamiliar concepts or ud hoc methods. Modern notation and terminology are used in a geometric and algebraic approach. Some concepts of group theory are introduced and are related to this approach, but knowledge of group theory is not required. Those who plan to use continuous groups that are more abstract than the rotation group may thereby develop their insight and skills by practicing with rotations. I try to distinguish carefully results that depend only on rotational symmetry and are generally valid from those having their most fruitful interpretation from the viewpoint of quantum mechanics. Applications to quantum mechanics therefore usually appear toward the end of sections and chapters.
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Formulation tools for Pharmaceutical Development (Woodhead Publishing Series in Biomedicine)
Formulation tools for Pharmaceutical Development (Woodhead Publishing Series in Biomedicine)

A range of new and innovative tools used for preformulation and formulation of medicines help optimize pharmaceutical development projects. Such tools also assist with the performance evaluation of the pharmaceutical process, allowing any potential gaps to be identified. These tools can be applied in both basic research and industrial...

Migrating to Azure: Transforming Legacy Applications into Scalable Cloud-First Solutions
Migrating to Azure: Transforming Legacy Applications into Scalable Cloud-First Solutions

Design an enterprise solution from scratch that allows the migration of a legacy application. Begin with the planning and design phase and be guided through all the stages of selecting the architecture framework that fits your enterprise.

Join Microsoft MVP Josh Garverick as he addresses all major areas of design and...

Learning  jQuery: Better Interaction Design and Web Development with Simple JavaScript Techniques
Learning jQuery: Better Interaction Design and Web Development with Simple JavaScript Techniques
jQuery is a powerful JavaScript library that can enhance your websites regardless of your background. In this book, creators of the popular jQuery learning resource, learningquery.com, share their knowledge, experience, and enthusiasm about jQuery to help you get the most from the library and to make your web applications shine. For designers,...

Advanced Data Mining Technologies in Bioinformatics
Advanced Data Mining Technologies in Bioinformatics
The technologies in data mining have been successfully applied to bioinformatics research in the past few years, but more research in this field is necessary. While tremendous progress has been made over the years, many of the fundamental challenges in bioinformatics are still open. Data mining plays an essential role in understanding the emerging...
The EBMT Handbook: Hematopoietic Stem Cell Transplantation and Cellular Therapies
The EBMT Handbook: Hematopoietic Stem Cell Transplantation and Cellular Therapies

This Open Access  edition of the European Society for Blood and Marrow Transplantation (EBMT) handbook addresses the latest developments and innovations in hematopoietic stem cell transplantation and cellular therapy. Consisting of 93 chapters, it has been written by 175 leading experts in the field.

Discussing all...

Wireless Internet and Mobile Business How to Program
Wireless Internet and Mobile Business How to Program
Wow! Many of our readers will say, "I had no idea that this wireless stuff was so significant. I have been using cell phones for years, but I never viewed cell phones as vehicles for connecting to the Internet and browsing the Web. Now, all of a sudden, I learn the amazing statistic that the number of people accessing the Web through wireless...
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