Basic Matters

Note: ?The three volumes are not sequential but rather independent of each other and largely self-contained.Basic Matters is a first introduction to quantum mechanics that does not assume any prior knowledge of the subject. The emphasis is on the general structure as the necessary foundation of any understanding. Starting from the simplest quantum phenomenon, the Stern-Gerlach experiment with its choice between two discrete outcomes, and ending with one-dimensional continuous systems, the physical concepts and notions as well as the mathematical formalism of quantum mechanics are developed in successive, manageable steps. The presentation is modern inasmuch as the natural language of the trade -- Dirac's kets and bras and so on -- is introduced early, and the temporal evolution is dealt with in a picture-free manner, with SchrOdinger's and Heisenberg's equations of motion side by side and on equal footing.The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann-Feynman theorem to the WKB quantization rule.Perturbed Evolution has a closer link to Simple Systems than that volume has to Basic Matters, but any reader familiar with the subject matter of a solid introduction to quantum mechanics -- such as Dirac's formalism of kets and bras, SchrOdinger's and Heisenberg's equations of motion, and the standard examples that can be treated exactly, with harmonic oscillators and hydrogen-like atoms among them -- can cope with the somewhat advanced material of this volume. The basics of kinematics and dynamics are reviewed at the outset, including discussions of Bohr's principle of complementarity and Schwinger's quantum action principle. The Born series, the Lippmann-Schwinger equation, and Fermi's golden rule are recurring themes in the treatment of the central subject matter -- the evolution in the presence of perturbing interactions for which there are no exact solutions as one has them for the standard examples in Simple Systems. The scattering by a localized potential is regarded as a perturbed evolution of a particular kind and is dealt with accordingly. The unique features of the scattering of indistinguishable quantum objects illustrate the nonclassical properties of bosons and fermions and prepare the groundwork for a discussion of multi-electron atoms.

Note: ∗The three volumes are not sequential but rather independent of each other and largely self-contained. Basic Matters is a first introduction to quantum mechanics that does not assume any prior knowledge of the subject. The emphasis is on the general structure as the necessary foundation of any understanding. Starting from the simplest quantum phenomenon, the Stern–Gerlach experiment with its choice between two discrete outcomes, and ending with one-dimensional continuous systems, the physical concepts and notions as well as the mathematical formalism of quantum mechanics are developed in successive, manageable steps. The presentation is modern inasmuch as the natural language of the trade — Dirac's kets and bras and so on — is introduced early, and the temporal evolution is dealt with in a picture-free manner, with Schrödinger's and Heisenberg's equations of motion side by side and on equal footing. The reader of Simple Systems is not expected to be familiar with the material in Basic Matters, but should have the minimal knowledge of a standard brief introduction to quantum mechanics with its typical emphasis on one-dimensional position wave functions. The step to Dirac's more abstract and much more powerful formalism is taken immediately, followed by reviews of quantum kinematics and quantum dynamics. The important standard examples (force-free motion, constant force, harmonic oscillator, hydrogen-like atoms) are then treated in considerable detail, whereby a nonstandard perspective is offered wherever it is deemed feasible and useful. A final chapter is devoted to approximation methods, from the Hellmann–Feynman theorem to the WKB quantization rule. Perturbed Evolution has a closer link to Simple Systems than that volume has to Basic Matters, but any reader familiar with the subject matter of a solid introduction to quantum mechanics — such as Dirac's formalism of kets and bras, Schrödinger's and Heisenberg's equations of motion, and the standard examples that can be treated exactly, with harmonic oscillators and hydrogen-like atoms among them — can cope with the somewhat advanced material of this volume. The basics of kinematics and dynamics are reviewed at the outset, including discussions of Bohr's principle of complementarity and Schwinger's quantum action principle. The Born series, the Lippmann-Schwinger equation, and Fermi's golden rule are recurring themes in the treatment of the central subject matter — the evolution in the presence of perturbing interactions for which there are no exact solutions as one has them for the standard examples in Simple Systems. The scattering by a localized potential is regarded as a perturbed evolution of a particular kind and is dealt with accordingly. The unique features of the scattering of indistinguishable quantum objects illustrate the nonclassical properties of bosons and fermions and prepare the groundwork for a discussion of multi-electron atoms. Errata(s) Errata Sample Chapter(s) Chapter 1 of Volume 1: A Brutal Fact of Life (331 KB) Chapter 1 of Volume 2: Quantum Kinematics Reviewed (370 KB) Chapter 1 of Volume 3: Basics of Kinematics and Dynamics (446 KB) Request Inspection Copy

Note: *The three volumes are not sequential but rather independent of each other and largely self-contained.Basic Matters is a first introduction to quantum mechanics that does not assume any prior knowledge of the subject. The emphasis is on the general structure as the necessary foundation of any understanding. Starting from the simplest quantum phenomenon, the Stern-Gerlach experiment with its choice between two discrete outcomes, and ending with one-dimensional continuous systems, the physical concepts and notions as well as the mathematical formalism of quantum mechanics are developed in successive, manageable steps. The presentation is modern inasmuch as the natural language of the trade — Dirac's kets and bras and so on — is introduced early, and the temporal evolution is dealt with in a picture-free manner, with Schrödinger's and Heisenberg's equations of motion side by side and on equal footing.

"Hitchens presents a George Orwell fit for the twenty-first century." --Boston Globe In this widely acclaimed biographical essay, the masterful polemicist Christopher Hitchens assesses the life, the achievements, and the myth of the great political writer and participant George Orwell. True to his contrarian style, Hitchens is both admiring and aggressive, sympathetic yet critical, taking true measure of his subject as hero and problem. Answering both the detractors and the false claimants, Hitchens tears down the façade of sainthood erected by the hagiographers and rebuts the critics point by point. He examines Orwell and his perspectives on fascism, empire, feminism, and Englishness, as well as his outlook on America, a country and culture toward which he exhibited much ambivalence. Whether thinking about empires or dictators, race or class, nationalism or popular culture, Orwell's moral outlook remains indispensable in a world that has undergone vast changes in the seven decades since his death. Combining the best of Hitchens' polemical punch and intellectual elegance in a tightly woven and subtle argument, this book addresses not only why Orwell matters today, but how he will continue to matter in a future, uncertain world.

More than a decluttering guide, this book “speaks to the heart and soul of the minimalist lifestyle . . . a must-have manual for serenity in the modern world!” (Anne Sage, author of Sage Living). For anyone looking to declutter, organize, and simplify, author Erin Boyle shares practical guidance and personal insights on small-space living and conscious consumption. At once pragmatic and philosophical, Simple Matters is an essential manual for anyone who wants to bring more purpose and sustainability to their daily lives. Boyle demonstrates how the benefits of “living small” are accessible to us all—whether we’re renting a tiny apartment or purchasing a three-story house. Filled with personal essays, projects, and helpful advice on how to be inventive and resourceful in a tight space, Simple Matters shows that living simply is about making do with less and ending up with more: more free time, more time with loved ones, more savings, and more things of beauty.

Kent Greenawalt's From the Bottom Up constitutes a collection of articles and essays written over the last five decades of his career. They cover a wide range of topics, many of which address ties between political and moral philosophy and what the law does and should provide. A broad general theme is that in all these domains, what really is the wisest approach to difficult circumstances often depends on the particular issues involved and their context. Both judges and scholars too often rely on abstract general formulations to provide answers. A notable example in political philosophy was the suggestion of the great and careful scholar, John Rawls, that laws should be based exclusively on public reason. The essays explain that given uncertainty of what people perceive as the line between public reason and their religion convictions, the inability of public reason to resolve some difficulty questions, such as what we owe to higher animals, and the feeling of many that their religious understanding should count, urging exclusive reliance on public reason is not a viable approach. Other essays show similar problems with asserted bases for legal interpretations and the content of provisions such as the First Amendment.