Symmetries in Quantum Mechanics


Book Description

Symmetries in Quantum Mechanics: From Angular Momentum to Supersymmetry (PBK) provides a thorough, didactic exposition of the role of symmetry, particularly rotational symmetry, in quantum mechanics. The bulk of the book covers the description of rotations (geometrically and group-theoretically) and their representations, and the quantum theory of angular momentum. Later chapters introduce more advanced topics such as relativistic theory, supersymmetry, anyons, fractional spin, and statistics. With clear, in-depth explanations, the book is ideal for use as a course text for postgraduate and advanced undergraduate students in physics and those specializing in theoretical physics. It is also useful for researchers looking for an accessible introduction to this important area of quantum theory.




The Discourses of Controversy


Book Description

The mystic von Speyr continues her reflections on the Gospel of John, concentrating here on the discourses of Jesus in chapters 6-12. The various other events included by Saint John in these chapters are seen primarily by him as the occasion for new confrontations between Jesus and his disputants. These reflections present the moment in which the limited, self-satisfied standpoint of Christ's hearers must let itself be burst open into the unlimited, loving standpoint of the Lord. Some of the controversial discourses in this section of John's Gospel which von Speyr comments on include: The Multiplication of the Loaves; The Bread of Life; The Adulteress; The Man Born Blind; The Raising of Lazarus; The Good Shepherd, and The Entry into Jerusalem. The combination of the Scripture verses and von Speyr's moving meditations provide rich nourishment for prayer and spiritual reading. This series is particularly important because the spirituality of Saint John, the Apostle of Divine Love, was the central source of von Speyr's own spiritual life. Adrienne von Speyr was a contemporary Swiss convert, mystic, wife, medical doctor and author of some 70 books on spirituality and theology. She entered the Church under the direction of one the greatest theologians and spiritual writers of the 20th century, Fr. Hans Urs von Balthasar, who became her spiritual director and confessor for the last 30 years of her life. Her writings, recognized as a major contribution to the great mystical writings of the Church, are being translated and published by Ignatius Press. Among her most important works are Book of All Saints, Confession, The World of Prayer, Handmaid of the Lord, and The Passion from Within.




The Power of Multiplication


Book Description

Since the beginning of time, God had a clear image of how He wanted His children to live. Although that plan has been altered by both humans and the great deceiver, Satan, God still has a plan to bring prosperity to His people through the power of multiplication. Now author Celeste Perez, building on a biblical foundation, demonstrates that God is the originator of the power of multiplication and that humans have the ability to use it for His glory. Today, there are promises that Christians can tap into through the power of multiplication. God does not want His people to live all their lives depending only on humankind or government assistance. Instead, He seeks to introduce them to a land where they can sow and reap. There is a blessing with your name on it, if you are willing to claim it. Your works should not be in vain; driven by purpose, they can change not only your life but also the lives of those around you and of generations to come. Inspiring and uplifting, this study and guide presents ways to use God’s power of multiplication in your life to prosper and grow more each day in Him.




Group Theory in a Nutshell for Physicists


Book Description

A concise, modern textbook on group theory written especially for physicists Although group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an understanding of the fundamental forces. Yet until now, what has been missing is a modern, accessible, and self-contained textbook on the subject written especially for physicists. Group Theory in a Nutshell for Physicists fills this gap, providing a user-friendly and classroom-tested text that focuses on those aspects of group theory physicists most need to know. From the basic intuitive notion of a group, A. Zee takes readers all the way up to how theories based on gauge groups could unify three of the four fundamental forces. He also includes a concise review of the linear algebra needed for group theory, making the book ideal for self-study. Provides physicists with a modern and accessible introduction to group theory Covers applications to various areas of physics, including field theory, particle physics, relativity, and much more Topics include finite group and character tables; real, pseudoreal, and complex representations; Weyl, Dirac, and Majorana equations; the expanding universe and group theory; grand unification; and much more The essential textbook for students and an invaluable resource for researchers Features a brief, self-contained treatment of linear algebra An online illustration package is available to professors Solutions manual (available only to professors)




Computer Vision - ECCV 2002


Book Description

Premiering in 1990 in Antibes, France, the European Conference on Computer Vision, ECCV, has been held biennially at venues all around Europe. These conferences have been very successful, making ECCV a major event to the computer vision community. ECCV 2002 was the seventh in the series. The privilege of organizing it was shared by three universities: The IT University of Copenhagen, the University of Copenhagen, and Lund University, with the conference venue in Copenhagen. These universities lie ̈ geographically close in the vivid Oresund region, which lies partly in Denmark and partly in Sweden, with the newly built bridge (opened summer 2000) crossing the sound that formerly divided the countries. We are very happy to report that this year’s conference attracted more papers than ever before, with around 600 submissions. Still, together with the conference board, we decided to keep the tradition of holding ECCV as a single track conference. Each paper was anonymously refereed by three different reviewers. For the nal selection, for the rst time for ECCV, a system with area chairs was used. These met with the program chairsinLundfortwodaysinFebruary2002toselectwhatbecame45oralpresentations and 181 posters.Also at this meeting the selection was made without knowledge of the authors’identity.




Journal of Discourses


Book Description




Complexes of Differential Operators


Book Description

This book gives a systematic account of the facts concerning complexes of differential operators on differentiable manifolds. The central place is occupied by the study of general complexes of differential operators between sections of vector bundles. Although the global situation often contains nothing new as compared with the local one (that is, complexes of partial differential operators on an open subset of ]Rn), the invariant language allows one to simplify the notation and to distinguish better the algebraic nature of some questions. In the last 2 decades within the general theory of complexes of differential operators, the following directions were delineated: 1) the formal theory; 2) the existence theory; 3) the problem of global solvability; 4) overdetermined boundary problems; 5) the generalized Lefschetz theory of fixed points, and 6) the qualitative theory of solutions of overdetermined systems. All of these problems are reflected in this book to some degree. It is superfluous to say that different directions sometimes whimsically intersect. Considerable attention is given to connections and parallels with the theory of functions of several complex variables. One of the reproaches avowed beforehand by the author consists of the shortage of examples. The framework of the book has not permitted their number to be increased significantly. Certain parts of the book consist of results obtained by the author in 1977-1986. They have been presented in seminars in Krasnoyarsk, Moscow, Ekaterinburg, and N ovosi birsk.




The Challenger Customer


Book Description

Four years ago, the bestselling authors of The Challenger Sale overturned decades of conventional wisdom with a bold new approach to sales. Now their latest research reveals something even more surprising: Being a Challenger seller isn’t enough. Your success or failure also depends on who you challenge. Picture your ideal customer: friendly, eager to meet, ready to coach you through the sale and champion your products and services across the organization. It turns out that’s the last person you need. Most marketing and sales teams go after low-hanging fruit: buyers who are eager and have clearly articulated needs. That’s simply human nature; it’s much easier to build a relationship with someone who always makes time for you, engages with your content, and listens attentively. But according to brand-new CEB research—based on data from thousands of B2B marketers, sellers, and buyers around the world—the highest-performing teams focus their time on potential customers who are far more skeptical, far less interested in meeting, and ultimately agnostic as to who wins the deal. How could this be? The authors of The Challenger Customer reveal that high-performing B2B teams grasp something that their average-performing peers don’t: Now that big, complex deals increasingly require consensus among a wide range of players across the organization, the limiting factor is rarely the salesperson’s inability to get an individual stakeholder to agree to a solution. More often it’s that the stakeholders inside the company can’t even agree with one another about what the problem is. It turns out only a very specific type of customer stakeholder has the credibility, persuasive skill, and will to effectively challenge his or her colleagues to pursue anything more ambitious than the status quo. These customers get deals to the finish line far more often than friendlier stakeholders who seem so receptive at first. In other words, Challenger sellers do best when they target Challenger customers. The Challenger Customer unveils research-based tools that will help you distinguish the "Talkers" from the "Mobilizers" in any organization. It also provides a blueprint for finding them, engaging them with disruptive insight, and equipping them to effectively challenge their own organization.




The Maximal Subgroups of the Low-Dimensional Finite Classical Groups


Book Description

This book classifies the maximal subgroups of the almost simple finite classical groups in dimension up to 12; it also describes the maximal subgroups of the almost simple finite exceptional groups with socle one of Sz(q), G2(q), 2G2(q) or 3D4(q). Theoretical and computational tools are used throughout, with downloadable Magma code provided. The exposition contains a wealth of information on the structure and action of the geometric subgroups of classical groups, but the reader will also encounter methods for analysing the structure and maximality of almost simple subgroups of almost simple groups. Additionally, this book contains detailed information on using Magma to calculate with representations over number fields and finite fields. Featured within are previously unseen results and over 80 tables describing the maximal subgroups, making this volume an essential reference for researchers. It also functions as a graduate-level textbook on finite simple groups, computational group theory and representation theory.




Wittgenstein's Lectures on the Foundations of Mathematics, Cambridge, 1939


Book Description

For several terms at Cambridge in 1939, Ludwig Wittgenstein lectured on the philosophical foundations of mathematics. A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.