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Schrödinger Equations and Diffusion Theory addresses the question "What is the Schrödinger equation?" in terms of diffusion processes, and shows that the Schrödinger equation and diffusion equations in duality are equivalent. In turn, Schrödinger's conjecture of 1931 is solved. The theory of diffusion processes for the Schrödinger equation tell us that we must go further into the theory of systems of (infinitely) many interacting quantum (diffusion) particles.The method of relative entropy and the theory of transformations enable us to construct severely singular diffusion processes which appear to be equivalent to Schrödinger equations.The theory of large deviations and the propagation of chaos of interacting diffusion particles reveal the statistical mechanical nature of the Schrödinger equation, namely, quantum mechanics.The text is practically self-contained and requires only an elementary knowledge of probability theory at the graduate level.

Schrödinger's influence in almost every field of science is still felt. He was a man who single-handedly reshaped thinking in cosmology, wave mechanics, statistical mechanics, unified field theories, theoretical chemistry and molecular biology. In this volume, which was prepared in 1987 to celebrate the centenary of Schrödinger's birth, leading figures in all these fields have collaborated to produce this carefully integrated and edited survey of the man and his science. Some of the contributions are biographical in nature, revealing much about the character of the man. Others deal with modern-day theories in different fields of science in which Schrödinger worked and his influence in those areas.

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Schrödinger's Universe: Einstein, Waves and the Origin of the Natural LawsErwin Schrodinger (1937) perceived that the whole Universe, what we observe as material bodies and forces, are nothing but shapes and variations in the structure of space. When he and Einstein debated the particle theorists led by Neils Bohr, most scientists thought they had lost it. This book shows they were right; that all matter is one Wave Structure in the space of the Universe. If the stars did not exist, we could not exist.

Format Paperback Subject Mathematics

Schrödinger Equations and Diffusion Theory addresses the question "What is the Schrödinger equation?" in terms of diffusion processes, and shows that the Schrödinger equation and diffusion equations in duality are equivalent. In turn, Schrödinger's conjecture of 1931 is solved. The theory of diffusion processes for the Schrödinger equation tell us that we must go further into the theory of systems of (infinitely) many interacting quantum (diffusion) particles.The method of relative entropy and the theory of transformations enable us to construct severely singular diffusion processes which appear to be equivalent to Schrödinger equations.The theory of large deviations and the propagation of chaos of interacting diffusion particles reveal the statistical mechanical nature of the Schrödinger equation, namely, quantum mechanics.The text is practically self-contained and requires only an elementary knowledge of probability theory at the graduate level.

Filling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal aymptotic expansions and numerical simulations.

Book is in Used-VeryGood condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain very limited notes and highlighting. 0.43

This monograph introduces modern developments on the bound state problem in Schrödinger potential theory and its applications in particle physics. The Schrödinger equation provides a framework for dealing with energy levels of N-body systems. It was a cornerstone of the quantum revolution in physics of the twenties but re-emerged in the eighties as a powerful tool in the study of spectra and decay properties of mesons and baryons. This book begins with a detailed study of two-body problems, including discussion of general properties, level ordering problems, energy level spacing and decay properties. Following chapters treat relativistic generalisations, and the inverse problem. Finally, 3-body problems and N-body problems are dealt with. Applications in particle and atomic physics are considered, including quarkonium spectroscopy. The emphasis throughout is on showing how the theory can be tested by experiment. Many references are provided.

This monograph introduces modern developments on the bound state problem in Schrödinger potential theory and its applications in particle physics. The Schrödinger equation provides a framework for dealing with energy levels of N-body systems. It was a cornerstone of the quantum revolution in physics of the twenties but re-emerged in the eighties as a powerful tool in the study of spectra and decay properties of mesons and baryons. This book begins with a detailed study of two-body problems, including discussion of general properties, level ordering problems, energy level spacing and decay properties. Following chapters treat relativistic generalisations, and the inverse problem. Finally, 3-body problems and N-body problems are dealt with. Applications in particle and atomic physics are considered, including quarkonium spectroscopy. The emphasis throughout is on showing how the theory can be tested by experiment. Many references are provided.

In recent years, the study of the theory of Brownian motion has become a powerful tool in the solution of problems in mathematical physics. This self-contained and readable exposition by leading authors, provides a rigorous account of the subject, emphasizing the "explicit" rather than the "concise" where necessary, and addressed to readers interested in probability theory as applied to analysis and mathematical physics.A distinctive feature of the methods used is the ubiquitous appearance of stopping time. The book contains much original research by the authors (some of which published here for the first time) as well as detailed and improved versions of relevant important results by other authors, not easily accessible in existing literature.

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Quantum theorist Erwin Schrvdinger invented his now-famous cat to illustrate the apparently impossible conundrums associated with quantum physics. The cat lives in an opaque box with a fiendish device that randomly feeds it either food, allowing it to live, or poison, which kills it. But in the quantum world, all possibilities coexist and have a reality of their own, and they ensure that the cat is both alive and dead, simultaneously.Who's Afraid of Schrvdinger's Cat? is a clear, concise explanation of the new sciences of quantum mechanics, chaos and complexity theory, relativity, new theories of mind, and the new cosmology. It studies worlds beyond the realm of common sense, and the new kinds of thinking that we need to understand ourselves, our minds, and our human place in the larger scheme of things.

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"A fascinating and thought-provoking story, one that sheds light on the origins of... the current challenging situation in physics."--Wall Street JournalWhen the fuzzy indeterminacy of quantum mechanics overthrew the orderly world of Isaac Newton, Albert Einstein and Erwin Schrödinger were at the forefront of the revolution. Neither man was ever satisfied with the standard interpretation of quantum mechanics, however, and both rebelled against what they considered the most preposterous aspect of quantum mechanics: its randomness. Einstein famously quipped that God does not play dice with the universe, and Schrödinger constructed his famous fable of a cat that was neither alive nor dead not to explain quantum mechanics but to highlight the apparent absurdity of a theory gone wrong. But these two giants did more than just criticize: they fought back, seeking a Theory of Everything that would make the universe seem sensible again.In Einstein's Dice and Schrödinger's Cat, physicist Paul Halpern tells the little-known story of how Einstein and Schrödinger searched, first as collaborators and then as competitors, for a theory that transcended quantum weirdness. This story of their quest-which ultimately failed-provides readers with new insights into the history of physics and the lives and work of two scientists whose obsessions drove its progress.Today, much of modern physics remains focused on the search for a Theory of Everything. As Halpern explains, the recent discovery of the Higgs Boson makes the Standard Model-the closest thing we have to a unified theory- nearly complete. And while Einstein and Schrödinger failed in their attempt to explain everything in the cosmos through pure geometry, the development of string theory has, in its own quantum way, brought this idea back into vogue. As in so many things, even when they were wrong, Einstein and Schrödinger couldn't help but get a great deal right.

Erwin Schrödinger (1887–1961) is best known as a co-recipient of the 1933 Nobel Prize in Physics for his development of a mathematical description of quantum mechanics. Today, many experts also consider him the father of bioengineering, and philosophers grant him an important role in the development of an ecological philosophy of nature. Here, four leading scientists and humanists reveal the ongoing contributions of Schrödinger's thought and unfold its controversial potential. They remind us that, in addition to being a great scientist, Schrödinger was also a great thinker whose intellectual provocations far exceed his historical impact. Their insights will be valued by biologists, philosophers, physicists―and a wide range of the scientifically curious alike.

Schrödinger Equations and Diffusion Theory addresses the question "What is the Schrödinger equation?" in terms of diffusion processes, and shows that the Schrödinger equation and diffusion equations in duality are equivalent. In turn, Schrödinger's conjecture of 1931 is solved. The theory of diffusion processes for the Schrödinger equation tell us that we must go further into the theory of systems of (infinitely) many interacting quantum (diffusion) particles.The method of relative entropy and the theory of transformations enable us to construct severely singular diffusion processes which appear to be equivalent to Schrödinger equations.The theory of large deviations and the propagation of chaos of interacting diffusion particles reveal the statistical mechanical nature of the Schrödinger equation, namely, quantum mechanics.The text is practically self-contained and requires only an elementary knowledge of probability theory at the graduate level.

This highly unusual book is a serious inquiry into Schrödinger's question, "What is life?", and at the same time a celebration of life itself. It takes the reader on a voyage of discovery through many areas of contemporary physics, from non-equilibrium thermodynamics and quantum optics to liquid crystals and fractals, all necessary for illuminating the problem of life. In the process, the reader is treated to a rare and exquisite view of the organism, gaining novel insights, not only into the physics but also into "the poetry and meaning of being alive". This book is intended for all who love the subject. Contents: What Is It to Be Alive?; Do Organisms Contravene the Second Law?; Can the Second Law Cope with Organized Complexity?; Energy Flow and Living Cycles; How to Catch a Falling Electron; Towards a Thermodynamics of Organized Complexity; The Seventy-Three Octaves of Nature's Music; Coherent Excitation of the Body Electric; How Coherent Is the Organism?; Life is All the Colours of the Rainbow in a Worm; The Liquid Crystalline Organism; Crystal Consciousness; Quantum Entanglement and Coherence; The Ignorance of the External Observer; Time and Freewill.

Recent years have seen a growth in interest in using partial differential equations in methods of Fourier analysis. This monograph sets out state-of-the-art models of these techniques as applied to transport, heat, wave, and Schrödinger equations.

Starting from basic principles, the book covers a wide variety of topics, ranging from Heisenberg, Schroedinger, second quantization, density matrix and path integral formulations of quantum mechanics, to applications that are (or will be) corner stones of present and future technologies. The emphasis is on spin waves, quantum information, recent tests of quantum physics and decoherence. The book provides a large amount of information without unbalancing the flow of the main ideas by laborious detail.