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Author: Alexander Komech
Publisher: Springer Science & Business Media
ISBN: 9400755414
Category : Science
Languages : en
Pages : 294
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Book Description
The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard applications to the hydrogen atom. The author has aimed at presenting quantum mechanics in a comprehensive yet accessible for mathematicians and other non-physicists. The genesis of quantum mechanics, its applications to basic quantum phenomena, and detailed explanations of the corresponding mathematical methods are presented. The exposition is formalized (whenever possible) on the basis of the coupled Schroedinger, Dirac and Maxwell equations. Aimed at upper graduate and graduate students in mathematical and physical science studies.
Author: Alexander Komech
Publisher: Springer Science & Business Media
ISBN: 9400755414
Category : Science
Languages : en
Pages : 294
Get Book Here
Book Description
The focus of the present work is nonrelativistic and relativistic quantum mechanics with standard applications to the hydrogen atom. The author has aimed at presenting quantum mechanics in a comprehensive yet accessible for mathematicians and other non-physicists. The genesis of quantum mechanics, its applications to basic quantum phenomena, and detailed explanations of the corresponding mathematical methods are presented. The exposition is formalized (whenever possible) on the basis of the coupled Schroedinger, Dirac and Maxwell equations. Aimed at upper graduate and graduate students in mathematical and physical science studies.
Author: Anthony Duncan
Publisher: Oxford University Press, USA
ISBN: 0198845472
Category : Science
Languages : en
Pages : 512
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Book Description
Constructing Quantum Mechanics is the first of two volumes on the genesis of quantum mechanics. It covers the key developments in the period 1900-1923, which provided the scaffold on which the arch of modern quantum mechanics was built. This volume traces the early contributions by Planck,Einstein, and Bohr to the theories of black-body radiation, specific heats, and spectroscopy, all showing the need for drastic changes to the physics of their day. It examines the efforts by Sommerfeld and others to provide a new theory, now known as the old quantum theory. After some strikinginitial successes (explaining the fine structure of hydrogen, X-ray spectra, and the Stark effect), the old quantum theory ran into serious difficulties (failing to provide consistent models for helium and the Zeeman effect) and eventually gave way to matrix and wave mechanics.The book breaks new ground, both in its treatment of the work of Sommerfeld and his associates, and also in its offering of new perspectives on classic papers by Planck, Einstein, and Bohr. Throughout this volume, the authors provide detailed reconstructions of the central arguments and derivationsof the physicists involved, allowing for a full and thorough understanding of the key principles.
Author: Edmund Blair Bolles
Publisher: Joseph Henry Press
ISBN: 0309096170
Category : Science
Languages : en
Pages : 357
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Book Description
"I find the idea quite intolerable that an electron exposed to radiation should choose of its own free will, not only its moment to jump off, but also its direction. In that case, I would rather be a cobbler, or even an employee in a gaming house, than a physicist." -Albert Einstein A scandal hovers over the history of 20th century physics. Albert Einstein-the century's greatest physicist-was never able to come to terms with quantum mechanics, the century's greatest theoretical achievement. For physicists who routinely use both quantum laws and Einstein's ideas, this contradiction can be almost too embarrassing to dwell on. Yet Einstein was one of the founders of quantum physics and he spent many years preaching the quantum's importance and its revolutionary nature. The Danish genius Neils Bohr was another founder of quantum physics. He had managed to solve one of the few physics problems that Einstein ever shied away from, linking quantum mathematics with a new model of the atom. This leap immediately yielded results that explained electron behavior and the periodic table of the elements. Despite their mutual appreciation of the quantum's importance, these two giants of modern physics never agreed on the fundamentals of their work. In fact, they clashed repeatedly throughout the 1920s, arguing first over Einstein's theory of "light quanta"(photons), then over Niels Bohr's short-lived theory that denied the conservation of energy at the quantum level, and climactically over the new quantum mechanics that Bohr enthusiastically embraced and Einstein stubbornly defied. This contest of visions stripped the scientific imagination naked. Einstein was a staunch realist, demanding to know the physical reasons behind physical events. At odds with this approach was Bohr's more pragmatic perspective that favored theories that worked, even if he might not have a corresponding explanation of the underlying reality. Powerful and illuminating, Einstein Defiant is the first book to capture the soul and the science that inspired this dramatic duel, revealing the personalities and the passions-and, in the end, what was at stake for the world.
Author: Andrew Comech
Publisher: Springer Nature
ISBN: 303133681X
Category : Mathematics
Languages : en
Pages : 334
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Book Description
Mark Vishik was one of the prominent figures in the theory of partial differential equations. His ground-breaking contributions were instrumental in integrating the methods of functional analysis into this theory. The book is based on the memoirs of his friends and students, as well as on the recollections of Mark Vishik himself, and contains a detailed description of his biography: childhood in Lwów, his connections with the famous Lwów school of Stefan Banach, a difficult several year long journey from Lwów to Tbilisi after the Nazi assault in June 1941, going to Moscow and forming his own school of differential equations, whose central role was played by the famous Vishik Seminar at the Department of Mechanics and Mathematics at Moscow State University. The reader is introduced to a number of remarkable scientists whose lives intersected with Vishik’s, including S. Banach, J. Schauder, I. N. Vekua, N. I. Muskhelishvili, L. A. Lyusternik, I. G. Petrovskii, S. L. Sobolev, I. M. Gelfand, M. G. Krein, A. N. Kolmogorov, N. I. Akhiezer, J. Leray, J.-L. Lions, L. Schwartz, L. Nirenberg, and many others. The book also provides a detailed description of the main research directions of Mark Vishik written by his students and colleagues, as well as several reviews of the recent development in these directions.
Author: Alexander Komech
Publisher: Cambridge University Press
ISBN: 100903605X
Category : Mathematics
Languages : en
Pages :
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Book Description
This monograph is the first to present the theory of global attractors of Hamiltonian partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary states, to solitons, and to stationary orbits. The text includes many physically relevant examples and will be of interest to graduate students and researchers in both mathematics and physics. The proofs involve novel applications of methods of harmonic analysis, including Tauberian theorems, Titchmarsh's convolution theorem, and the theory of quasimeasures. As well as the underlying theory, the authors discuss the results of numerical simulations and formulate open problems to prompt further research.
Author: Evgeni B. Starikov
Publisher: CRC Press
ISBN: 042901452X
Category : Science
Languages : en
Pages : 885
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Book Description
Modern thermodynamics is a unique but still not a logically self-consistent field of knowledge. It has a proven universal applicability and significance but its actual potential is still latent. The development of the foundations of thermodynamics was in effect non-stop but absolutely no one has any idea about this. This book is the first of its kind that will motivate researchers to build up a logically consistent field of thermodynamics. It greatly appreciates the actual depth and potential of thermodynamics which might also be of interest to readers in history and philosophy of scientific research. The book presents the life stories of the protagonists in detail and allows readers to cast a look at the whole scene of the field by showcasing a significant number of their colleagues whose works have fittingly complemented their achievements. It also tries to trigger a detailed analysis of the reasons why the actual work in this extremely important field has in effect gone astray. It comprises five chapters and introduces three scientists in the first two chapters, which are specifically devoted to the Scandinavian achievements in macroscopic thermodynamics. These introductions are novel and call for a detailed reconsideration of the field. The third chapter acquaints the readers with their fourth colleague in Germany who was working on the proper link between the macroscopic thermodynamics, kinetics, and the atomistic representation of matter. The fourth chapter brings in their fifth colleague in the United States who could formally infer the famous formula S = k * ln(W), ingeniously guessed by Ludwig Boltzmann, and thus clarify the physical sense of the entropy notion. The last chapter summarizes the above-mentioned discourses.
Author: Michael Epperson
Publisher: Fordham Univ Press
ISBN: 0823223191
Category : Philosophy
Languages : en
Pages : 279
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Book Description
This is an extended analysis of the intricate relationships between relativity theory, quantum mechanics and Alfred North Whitehead's cosmology. Michael Epperson illuminates the intersection of science and philosophy in Whitehead's work.
Author: Niels Bohr
Publisher: Pickle Partners Publishing
ISBN: 1787208931
Category : Science
Languages : en
Pages : 186
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Book Description
This collection of articles, which were first published in 1958 and written on various occasions between 1932 and 1957, forms a sequel to Danish physician Niels Bohr’s earlier essays in Atomic Theory and the Description of Nature (1934). “The theme of the papers is the epistemological lesson which the modern development of atomic physics has given us and its relevance for analysis and synthesis in many fields of human knowledge. “The articles in the previous edition were written at a time when the establishment of the mathematical methods of quantum mechanics had created a firm foundation for the consistent treatment of atomic phenomena, and the conditions for an unambiguous account of experience within this framework were characterized by the notion of complementarity. In the papers collected here, this approach is further developed in logical formulation and given broader application.”
Author: Luis de la Peña
Publisher: Springer
ISBN: 3319078933
Category : Science
Languages : en
Pages : 371
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Book Description
This monograph presents the latest findings from a long-term research project intended to identify the physics behind Quantum Mechanics. A fundamental theory for quantum mechanics is constructed from first physical principles, revealing quantization as an emergent phenomenon arising from a deeper stochastic process. As such, it offers the vibrant community working on the foundations of quantum mechanics an alternative contribution open to discussion. The book starts with a critical summary of the main conceptual problems that still beset quantum mechanics. The basic consideration is then introduced that any material system is an open system in permanent contact with the random zero-point radiation field, with which it may reach a state of equilibrium. Working from this basis, a comprehensive and self-consistent theoretical framework is then developed. The pillars of the quantum-mechanical formalism are derived, as well as the radiative corrections of nonrelativistic QED, while revealing the underlying physical mechanisms. The genesis of some of the central features of quantum theory is elucidated, such as atomic stability, the spin of the electron, quantum fluctuations, quantum nonlocality and entanglement. The theory developed here reaffirms fundamental scientific principles such as realism, causality, locality and objectivity.
Author: Jeff A. Benner
Publisher:
ISBN: 9781602648715
Category : Science
Languages : en
Pages : 262
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Book Description
Since ancient times man has sought to understand the origins of the universe around him, and his place within it. Such speculations were once the sole purview of religion, but since the Enlightenment, science and rationality have also attempted to explain these mysteries, but from an opposing perspective. Conflict resulted and both sides dug in, clinging to dogmas that precluded any consideration of the other side. "Genesis, Zen and Quantum Physics" enters the fray with a very unique approach. Believing that harmony, rather than conflict, defines the relationship between the Genesis account and modern science; the authors have retranslated the creation story according to the ancient Hebrew pictographic language and in the context of the nomadic culture from which the language and narratives arose. The resulting translation and its accompanying commentary challenge the common understanding of God, science, and the very reason for man's existence. By harmonizing an accurate biblical account with cutting edge scientific understanding, the authors present a mature religious ideal and an appreciation for the understanding of the ancients for modern scientific concepts. This is a book that will redefine your understanding of God, the world around you and your role within it.
