Exactly! is a book of short essays which talk about the variety of ways that God helps us. Some of them are humorous, some fascinating, some difficult, some joyful, and some challenging...but all insightful. God loves each one of us exactly as we are in this exact moment. Through this book you will find moments of despair...of hope...of sadness...of wonder...of joy. You will find moments of challenge where God reached out, in both small and great ways, and simply loved us exactly where we were. His words were given for us to share with others, but in the writing and in the sharing, God touched our souls in incredible ways. He met us exactly as we were each time. May he meet you exactly where you need him today.
Exactly solvable models, that is, models with explicitly and completely diagonalizable Hamiltonians are too few in number and insufficiently diverse to meet the requirements of modern quantum physics. Quasi-exactly solvable (QES) models (whose Hamiltonians admit an explicit diagonalization only for some limited segments of the spectrum) provide a practical way forward. Although QES models are a recent discovery, the results are already numerous. Collecting the results of QES models in a unified and accessible form, Quasi-Exactly Solvable Models in Quantum Mechanics provides an invaluable resource for physicists using quantum mechanics and applied mathematicians dealing with linear differential equations. By generalizing from one-dimensional QES models, the expert author constructs the general theory of QES problems in quantum mechanics. He describes the connections between QES models and completely integrable theories of magnetic chains, determines the spectra of QES Schrödinger equations using the Bethe-Iansatz solution of the Gaudin model, discusses hidden symmetry properties of QES Hamiltonians, and explains various Lie algebraic and analytic approaches to the problem of quasi-exact solubility in quantum mechanics. Because the applications of QES models are very wide, such as, for investigating non-perturbative phenomena or as a good approximation to exactly non-solvable problems, researchers in quantum mechanics-related fields cannot afford to be unaware of the possibilities of QES models.
With Florie's best friend Kacey set to head off to college, they decide to take a road trip to San Francisco, but when Florie's forever crush Sam volunteers to drive them, she will have to deal with her feelings and the romantic signals Sam is starting to send.
This book is a vigorous effort to answer the question, "How did we get here?"—a question that troubles virtually every American over the age of fourteen. How did America lose power in the world? How did American democracy become undermined? The press industry, who once would have been charged with answering this question, is not—according to Phelps—currently capable of doing so. Closely read, this book allows an answer to emerge to this compelling American question.
Get out of your own way and bring your ideas to life! Exactly Where to Start is a playbook for everyone with a great idea, everyone with a goal in mind, and everyone with a specific destination but no journey. We’ve been told all our lives that “good things come to those who wait”—but that’s a myth. Good things come to those who do. Too often, we get stuck in the “getting ready” stage: research, analysis, brainstorming, and more research; we feel like we need to know everything there is to know about what we want to do before we ever take the first steps. Meanwhile, the people who actually go out and do the thing are taking risks, learning lessons, and making strides toward their goals every single day. Isn’t it time you joined them? This book coaches you through the journey with precise, actionable steps that help you take that all-important first leap and keep the momentum going. Discard the distractions, break through the overwhelm, and get going for real with this real-world blueprint for turning your vision into reality. Snap yourself out of “analysis paralysis” Stop thinking you need to know everything before you even begin Make those big decisions and focus in on your goals Chart your journey’s path, and get up and get started today Many of us have fallen into a trap: we no longer believe that “anything is possible”, yet we are surrounded by proof that everything is possible! But we are distracted, harried, overwhelmed, and maybe a little intimidated. Our dreams remain forever in limbo, and we may go to our graves before we venture beyond the “planning stage”. Don’t let that happen—don’t you deserve to realize your goals? Exactly Where to Start gives you the kick in the pants and the practical plan you need to stand up, step up, and make it happen.
This unique volume provides a comprehensive overview of exactly solved models in statistical mechanics by looking at the scientific achievements of F Y Wu in this and related fields, which span four decades of his career. The book is organized into topics ranging from lattice models in condensed matter physics to graph theory in mathematics, and includes the author's pioneering contributions. Through insightful commentaries, the author presents an overview of each of the topics and an insider's look at how crucial developments emerged. With the inclusion of important pedagogical review articles by the author, Exactly Solved Models is an indispensable learning tool for graduate students, and an essential reference and source book for researchers in physics and mathematics as well as historians of science.
This book differs from its predecessor, Lieb & Mattis Mathematical Physics in One Dimension, in a number of important ways. Classic discoveries which once had to be omitted owing to lack of space — such as the seminal paper by Fermi, Pasta and Ulam on lack of ergodicity of the linear chain, or Bethe's original paper on the Bethe ansatz — can now be incorporated. Many applications which did not even exist in 1966 (some of which were originally spawned by the publication of Lieb & Mattis) are newly included. Among these, this new book contains critical surveys of a number of important developments: the exact solution of the Hubbard model, the concept of spinons, the Haldane gap in magnetic spin-one chains, bosonization and fermionization, solitions and the approach to thermodynamic equilibrium, quantum statistical mechanics, localization of normal modes and eigenstates in disordered chains, and a number of other contemporary concerns.
Winner, 2023 Columbia University Press Distinguished Book Award Winner, 2023 Frank Luther Mott / Kappa Tau Alpha Research Award Winner, 2023 Journalism Studies Division Book Award, International Communication Association Winner, 2023 History Book Award, Association for Education in Journalism and Mass Communication Long before the current preoccupation with “fake news,” American newspapers routinely ran stories that were not quite, strictly speaking, true. Today, a firm boundary between fact and fakery is a hallmark of journalistic practice, yet for many readers and publishers across more than three centuries, this distinction has seemed slippery or even irrelevant. From fibs about royal incest in America’s first newspaper to social-media-driven conspiracy theories surrounding Barack Obama’s birthplace, Andie Tucher explores how American audiences have argued over what’s real and what’s not—and why that matters for democracy. Early American journalism was characterized by a hodgepodge of straightforward reporting, partisan broadsides, humbug, tall tales, and embellishment. Around the start of the twentieth century, journalists who were determined to improve the reputation of their craft established professional norms and the goal of objectivity. However, Tucher argues, the creation of outward forms of factuality unleashed new opportunities for falsehood: News doesn’t have to be true as long as it looks true. Propaganda, disinformation, and advocacy—whether in print, on the radio, on television, or online—could be crafted to resemble the real thing. Dressed up in legitimate journalistic conventions, this “fake journalism” became inextricably bound up with right-wing politics, to the point where it has become an essential driver of political polarization. Shedding light on the long history of today’s disputes over disinformation, Not Exactly Lying is a timely consideration of what happens to public life when news is not exactly true.
This invaluable book provides a broad introduction to the fascinating and beautiful subject of many-body quantum systems that can be solved exactly. The subject began with Bethe's famous solution of the one-dimensional Heisenberg magnet more than 70 years ago, soon after the invention of quantum mechanics. Since then, the diversity and scope of such systems have been steadily growing.Beautiful Models is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students and even ambitious undergraduates in physics. It is also suitable for the non-experts in physics who wish to have an overview of some of the classic and fundamental models in the subject. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.
