Christenson C. Mathematics of Classical and Quantum Physics 2019

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Christenson C. Mathematics of Classical and Quantum Physics 2019

Textbook in PDF format Classical physics explains matter and energy only on a scale familiar to human experience, including the behavior of astronomical bodies such as the Moon. Classical physics is a tremendously successful theory of nature and has led to astonishing human feats. We put a man on the moon, built bridges, skyscrap ers, supersonic jets, developed wireless communication, etc. The charming part is that classical physics is not the ultimate description of nature – there is much more to reality than what we see and experience. Classical physics is still used in much of modern science and technology. Quantum mechanics (QM) developed over many decades, beginning as a set of controversial mathematical explanations of experiments that the math of classical mechanics could not explain. Quantum mechanics is the science of the very small. It explains the behavior of matter and its interactions with energy on the scale of atoms and subatomic particles. Presently it is not clear that the mystery of the small-scale dynamics is due to the incompleteness of the mathematic formulation of dynamics of physical events at small scale or to the change of mathematics. The problem is that our present knowledge on mathematical description of change at small scale of space-time frame and physical theories do not distinguish what special features should have the initial state (position) of universe. The book portrays the introduction to quantum mechanics and describes the basic mathematical structures supporting it. The contributions made in this book are written by eminent researchers and expert scientists from different research institutes and universities throughout the world. Indeed, quantum mechanics is the greatest discovery of the 20th century. Therefore, its history and foundations are of great interest to scientists and students. Exploring the concepts of quantum mechanics and quantum field theory with detailed mathematical concepts, this book addresses physics students and practitioners who are interested in a clearly arranged and structured presentation of relativistic quantum mechanics in the and its relation to quantum field theories