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Written for advanced undergraduates, physicists, and historians and philosophers of physics, this book tells the story of the development of our understanding of quantum phenomena through the extraordinary years of the first three decades of the twentieth century. Rather than following the standard axiomatic approach, this book adopts a historical perspective, explaining clearly and authoritatively how pioneers such as Heisenberg, Schrodinger, Pauli and Dirac developed the fundamentals of quantum mechanics and merged them into a coherent theory, and why the mathematical infrastructure of quantum mechanics has to be as complex as it is. The author creates a compelling narrative, providing a remarkable example of how physics and mathematics work in practice. The book encourages an enhanced appreciation of the interaction between mathematics, theory and experiment, helping the reader gain a deeper understanding of the development and content of quantum mechanics than any other text at this level.
The prophet Muhammad and the early Islamic community radically redefined the concept of time that they had inherited from earlier religions' beliefs and practices. This new temporal system, based on a lunar calendar and era, was complex and required sophistication and accuracy. From the ninth to the sixteenth centuries, it was the Muslim astronomers of the Ottoman, Safavid and Mughal empires who were responsible for the major advances in mathematics, astronomy and astrology. This fascinating study compares the Islamic concept of time, and its historical and cultural significance, across these three great empires. Each empire, while mindful of earlier models, created a new temporal system, fashioning a new solar calendar and era and a new round of rituals and ceremonies from the cultural resources at hand. This book contributes to our understanding of the Muslim temporal system and our appreciation of the influence of Islamic science on the Western world.
‘In spite of its high-sounding name and its successful solutions of numerous problems in atomic physics, quantum theory, and especially the quantum theory of polyelectron systems, prior to 1925, was, from the methodological point of view, a lamentable hodgepodge of hypotheses, principles, theorems and computational recipes rather than a logical consistent theory. Every single quantum-theoretic problem had to be solved first in terms of classical physics; its classical solution had then to pass through the mysterious sieve of the quantum conditions or, as it happened in the majority of cases, the classical solution had to be translated into the language of quanta in conformance with the correspondence principle. Usually, the process of finding the ‘correct solution’ was a matter of skillful guessing and intuition, rather than of deductive or systematic reasoning.’
(Jammer, 1989)
Although written with the benefit of hindsight, there is no doubt that, by the end of 1924, there was a major crisis in the attempts to create a system of ‘quantum mechanics’ which could encompass all the features of atoms and their spectra. At the heart of the problem was the wave–particle duality first enunciated by Einstein in 1905 and reinforced by de Broglie's remarkable association of ‘matter-waves’ with electrons in 1924. As recorded by Jammer (1989),
‘This state of affairs was well characterised by Sir William Bragg when he said that physicists are using on Mondays, Wednesdays, and Fridays the classical theory and on Tuesdays, Thursdays and Saturdays the quantum theory of radiation.’