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This monograph contains a functional analytic introduction to Dirac's formalism. The first part presents some new mathematical notions in the setting of triples of Hilbert spaces, mentioning the concept of Dirac basis. The second part introduces a conceptually new theory of generalized functions, integrating the notions of the first part. The last part of the book is devoted to a mathematical interpretation of the main features of Dirac's formalism. It involves a pairing between distributional bras and kets, continuum expansions and continuum matrices.

Quantum theory. --- Théorie quantique --- Dirac, P. A. M. --- Quantum theory --- Dirac, P A M --- 517.98 --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Functional analysis and operator theory --- 517.98 Functional analysis and operator theory --- Dirac, Paul Adrien Maurice, --- Dirac, Paul A. M. --- Dirak, Polʹ, --- Dirac, P A M - (Paul Adrien Maurice), - 1902-1984

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Developing a theory that seamlessly combines relativity and quantum mechanics, the most important conceptual breakthroughs in twentieth century physics, has proved to be a difficult and ongoing challenge. This book details how two distinguished physicists and Nobel laureates have explored this theme in two lectures given in Cambridge, England, in 1986 to commemorate the famous British physicist Paul Dirac. Given for nonspecialists and undergraduates, the talks transcribed in Elementary Particles and the Laws of Physics focus on the fundamental problems of physics and the present state of our knowledge. Professor Feynman examines the nature of antiparticles, and in particular the relationship between quantum spin and statistics. Professor Weinberg speculates on how Einstein's theory of gravitation might be reconciled with quantum theory in the final law of physics. Highly accessible, deeply thought provoking, this book will appeal to all those interested in the development of modern physics.

Elementary particles --- Dirac, P. A. M. --- Nonrelativistic quantum mechanics --- Dirac, Paul Adrien Maurice --- Dirac, Paul Adrien Maurice, --- Particles (Nuclear physics) --- Quantum theory --- Relativity (Physics) --- Particles (Nuclear physics). --- Quantum theory. --- Relativity (Physics). --- Gravitation --- Space and time --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Elementary particles (Physics) --- High energy physics --- Nuclear particles --- Nucleons --- Nuclear physics --- Dirac, Paul A. M. --- Dirak, Polʹ, --- Particules (Physique nucléaire) --- Théorie quantique --- Relativité (Physique)