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9781118795323 English 1118795326 This is the first comprehensive scientific book devoted solely to the Pauli Exclusion Principle. Beginning with an introduction and historical overview, the book goes on to cover modern studies of the Pauli Exclusion Principle and its numerous applications in physics and chemistry. The foundations of the principle and its applications (e.g. methods of finding of the Pauli-allowed states in atomic and molecular spectroscopy) are discussed in the book. Special attention is devoted to experimental verifications of the possible violations of the Pauli Exclusion Principle, and the existing attempts to present theoretical proofs of the principle and the spin-statistics connections. The last chapter is devoted to the deviations from the Fermi and Bose statistics in the case of composite particles and to the statistics of the quasiparticles in a periodical lattice which obey the modified parafermi statistics. Such exotic objects as the anyons and fractional statistics are also discussed. Topics covered: * Introduction and historical survey * Experimental verifications of the Pauli Exclusion Principle * Construction of symmetric and antisymmetric functions for the states with definite total spin * Can the Pauli Exclusion Principle be proved? * Classification of the Pauli-allowed states in atomic and molecular physics * Spin-Statistics connection * Deviations from the Fermi and Bose statistics. Parastatistics, This is the first scientic book devoted to the Pauli exclusion principle, which is a fundamental principle of quantum mechanics and is permanently applied in chemistry, physics, and molecular biology. However, while the principle has been studied for more than 90 years, rigorous theoretical foundations still have not been established and many unsolved problems remain. Following a historical survey in Chapter 1, the book discusses the still unresolved questions around this fundamental principle. For instance, why, according to the Pauli exclusion principle, are only symmetric and antisymmetric permutation symmetries for identical particles realized, while the Schrödinger equation is satisfied by functions with any permutation symmetry? Chapter 3 covers possible answers to this question. The construction of function with a given permutation symmetry is described in the previous Chapter 2, while Chapter 4 presents effective and elegant methods for finding the Pauli-allowed states in atomic, molecular, and nuclear spectroscopy. Chapter 5 discusses parastatistics and fractional statistics, demonstrating that the quasiparticles in a periodical lattice, including excitons and magnons, are obeying modified parafermi statistics. With detailed appendices, The Pauli Exclusion Principle: Origin, Verifications, and Applications is intended as a self-sufficient guide for graduate students and academic researchers in the fields of chemistry, physics, molecular biology and applied mathematics. It will be a valuable resource for any reader interested in the foundations of quantum mechanics and its applications, including areas such as atomic and molecular spectroscopy, spintronics, theoretical chemistry, and applied fields of quantum information., This is the first scientific book devoted to the Pauli Exclusion Principle, which is a fundamental principle of quantum mechanics and is permanently applied in chemistry, physics, molecular biology and in physical astronomy. However, while the principle has been studied for more than 90 years, rigorous theoretical foundations still have not been established and many unsolved problems remain. Following an introduction and historical survey, this book discusses the still unresolved questions around this fundamental principle. For instance, why, according to the Pauli Exclusion Principle, are only symmetric and antisymmetric permutation symmetries for identical particles realized, while the SchrOdinger equation is satisfied by functions with any permutation symmetry? Chapter 3 covers possible answers to this, while chapter 4 presents effective and elegant methods for finding the Pauli-allowed states in atomic, molecular and nuclear spectroscopy. Chapter 5 discusses parastatistics and fractional statistics, demonstrating that the quasiparticles in a periodical lattice, including excitons and magnons, are obeying modified parafermi statistics. With detailed appendices, "The Pauli Exclusion Principle: Origin, Verifications and Applications" is intended as a self-sufficient guide for graduate students and academic researchers in the fields of quantum mechanics, theoretical chemistry, physics, and applied mathematics. It will be a valuable resource for any reader interested in the foundations of quantum mechanics and its applications in areas such as atomic and molecular spectroscopy, spintronics, molecular biology, and applied fields of quantum information.
9781118795323 English 1118795326 This is the first comprehensive scientific book devoted solely to the Pauli Exclusion Principle. Beginning with an introduction and historical overview, the book goes on to cover modern studies of the Pauli Exclusion Principle and its numerous applications in physics and chemistry. The foundations of the principle and its applications (e.g. methods of finding of the Pauli-allowed states in atomic and molecular spectroscopy) are discussed in the book. Special attention is devoted to experimental verifications of the possible violations of the Pauli Exclusion Principle, and the existing attempts to present theoretical proofs of the principle and the spin-statistics connections. The last chapter is devoted to the deviations from the Fermi and Bose statistics in the case of composite particles and to the statistics of the quasiparticles in a periodical lattice which obey the modified parafermi statistics. Such exotic objects as the anyons and fractional statistics are also discussed. Topics covered: * Introduction and historical survey * Experimental verifications of the Pauli Exclusion Principle * Construction of symmetric and antisymmetric functions for the states with definite total spin * Can the Pauli Exclusion Principle be proved? * Classification of the Pauli-allowed states in atomic and molecular physics * Spin-Statistics connection * Deviations from the Fermi and Bose statistics. Parastatistics, This is the first scientic book devoted to the Pauli exclusion principle, which is a fundamental principle of quantum mechanics and is permanently applied in chemistry, physics, and molecular biology. However, while the principle has been studied for more than 90 years, rigorous theoretical foundations still have not been established and many unsolved problems remain. Following a historical survey in Chapter 1, the book discusses the still unresolved questions around this fundamental principle. For instance, why, according to the Pauli exclusion principle, are only symmetric and antisymmetric permutation symmetries for identical particles realized, while the Schrödinger equation is satisfied by functions with any permutation symmetry? Chapter 3 covers possible answers to this question. The construction of function with a given permutation symmetry is described in the previous Chapter 2, while Chapter 4 presents effective and elegant methods for finding the Pauli-allowed states in atomic, molecular, and nuclear spectroscopy. Chapter 5 discusses parastatistics and fractional statistics, demonstrating that the quasiparticles in a periodical lattice, including excitons and magnons, are obeying modified parafermi statistics. With detailed appendices, The Pauli Exclusion Principle: Origin, Verifications, and Applications is intended as a self-sufficient guide for graduate students and academic researchers in the fields of chemistry, physics, molecular biology and applied mathematics. It will be a valuable resource for any reader interested in the foundations of quantum mechanics and its applications, including areas such as atomic and molecular spectroscopy, spintronics, theoretical chemistry, and applied fields of quantum information., This is the first scientific book devoted to the Pauli Exclusion Principle, which is a fundamental principle of quantum mechanics and is permanently applied in chemistry, physics, molecular biology and in physical astronomy. However, while the principle has been studied for more than 90 years, rigorous theoretical foundations still have not been established and many unsolved problems remain. Following an introduction and historical survey, this book discusses the still unresolved questions around this fundamental principle. For instance, why, according to the Pauli Exclusion Principle, are only symmetric and antisymmetric permutation symmetries for identical particles realized, while the SchrOdinger equation is satisfied by functions with any permutation symmetry? Chapter 3 covers possible answers to this, while chapter 4 presents effective and elegant methods for finding the Pauli-allowed states in atomic, molecular and nuclear spectroscopy. Chapter 5 discusses parastatistics and fractional statistics, demonstrating that the quasiparticles in a periodical lattice, including excitons and magnons, are obeying modified parafermi statistics. With detailed appendices, "The Pauli Exclusion Principle: Origin, Verifications and Applications" is intended as a self-sufficient guide for graduate students and academic researchers in the fields of quantum mechanics, theoretical chemistry, physics, and applied mathematics. It will be a valuable resource for any reader interested in the foundations of quantum mechanics and its applications in areas such as atomic and molecular spectroscopy, spintronics, molecular biology, and applied fields of quantum information.