This is the first textbook to include the matrix continued-fraction method, which is very effective in dealing with simple Fokker-Planck equations having two variables. Other methods covered are the simulation method, the eigen-function expansion, numerical integration, and the variational method. Each solution is applied to the statistics of a simple laser model and to Brownian motion in potentials. The whole is rounded off with a supplement containing a short review of new material together with some recent references. This new study edition will prove to be very useful for graduate students in physics, chemical physics, and electrical engineering, as well as for research workers in these fields.
Brown interweaves the voices and writings of Planck, his family, and his contemporaries--with many passages appearing in English for the first time--to create a portrait of a groundbreaking physicist working in the midst of war. Planck spent much of his adult life grappling with the identity crisis of being an influential German with ideas that ran counter to his government. During the later part of his life, he survived bombings and battlefields, surgeries and blood transfusions, all the while performing his influential work amidst a violent and crumbling Nazi bureaucracy. When his son was accused of treason related to a bombing, Planck tried to use his standing as a German 'national treasure,' and wrote direct letters to Hitler to spare his son's life. Brown tells the story of Planck's friendship with the far more outspoken Albert Einstein, and shows how his work fits within the explosion of technology and science that occurred during his life.
In this moving and eloquent portrait, John Heilbron describes how the founder of quantum theory rose to the pinnacle of German science. With great understanding, he shows how Max Planck suffered morally and intellectually as his lifelong habit of service to his country and to physics was confronted by the realities of World War I and the brutalities of the Third Reich. In an afterword written for this edition, Heilbron weighs the recurring questions among historians and scientists about the costs to others, and to Planck himself, of the painful choices he faced in attempting to build an “ark” to carry science and scientists through the storms of Nazism.
First published in 1932, this book by Nobel Prize-winning German physicist Max Planck, a profound humanist as well as a theoretical scientist and professor in Germany between the two World Wars, provides the reader with a great insider’s look at how scientific revolutions unfold from the first sparks of ingenuity to their establishment as accepted paradigms of their current times.
In this fascinating autobiography from one of the foremost geniuses of twentieth-century physics, Max Planck tells the story of his life, his aims, and his thinking. Published posthumously, the papers in this volume were written for the general reader and make accessible Planck’s scientific theories as well as his philosophical ideals, including his thoughts on ethics and morals.
This invaluable book takes the reader from Planck's discovery of the quantum in 1900 to the most recent interpretations and applications of nonrelativistic quantum mechanics.The introduction of the quantum idea leads off the prehistory of quantum mechanics, featuring Planck, Einstein, Bohr, Compton, and de Broglie's immortal contributions. Their original discovery papers are featured with explanatory notes and developments in Part 1.The invention of matrix mechanics and quantum mechanics by Heisenberg, Born, Jordan, Dirac, and Schrödinger is presented next, in Part 2.Following that, in Part 3, are the Einstein-Bohr debates on the interpretation of quantum mechanics culminating in Bell's inequality and Aspect's experiment demonstrating the actuality of the long range quantum correlations to which Einstein, Podolsky, and Rosen took great exception. Resolutions of quantum paradoxes and the current state of such debates are summarized.Part 4 presents a selection of the most dramatic modern developments, both theoretical and experimental. These include Feynman path integrals, the modern interpretation based on decoherence, quantum optics experiments leading to teleportation, DeWitt's wave function of the universe, and a brief introduction to the end-of-the-millennium prospects of quantum computation. A concluding chapter presents the authors' conjectures for the next 100 years of the quantum.This book is ideally suited to anyone with a junior level background in modern physics and quantum mechanics, and a cultural interest in the original sources of the greatest ideas of the greatest founders of this subject as derived from their first discovery papers. These papers have led, in giant strides across the whole of the twentieth century, to the revolutionary experimental advances of the last decade. The book makes accessible — physically and intellectually — both the deepest roots and the highest branches of nonrelativistic quantum physics.
The second edition of this book deals, as the first, with the foundations of classical physics from the 'symplectic' point of view, and of quantum mechanics from the 'metaplectic' point of view. We have revised and augmented the topics studied in the first edition in the light of new results, and added several new sections. The Bohmian interpretation of quantum mechanics is discussed in detail. Phase space quantization is achieved using the 'principle of the symplectic camel', which is a deep topological property of Hamiltonian flows. We introduce the notion of 'quantum blob', which can be viewed as the fundamental phase space unit. The mathematical tools developed in this book are the theory of the symplectic and metaplectic group, the Maslov index in a rigorous form, and the Leray index of a pair of Lagrangian planes. The concept of the 'metatron' is introduced, in connection with the Bohmian theory of motion. The short-time behavior of the propagator is studied and applied to the quantum Zeno effect.
