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The Pauli Exclusion Principle : Origin, Verifications, and Applications /
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 foundati...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Wiley,
2016.
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| Edición: | 1st |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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 SchrOdinger 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. |
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| Notas: | Preface Chapter 1 Historical Survey 1.1. Discovery of the Pauli Exclusion Principle and early developments 1.2. Further developments and still existing problems References Chapter 2 Construction of Functions with a Definite Permutation Symmetry 2.1. Identical particles in quantum mechanics and indistinguishability principle 2.2. Construction of permutation-symmetrical functions using the Young operators 2.3. The total wave functions as a product of spatial and spin wave functions 2.3.1 Two-particle system 2.3.2 General case of N-particle system References Chapter 3 Can the Pauli Exclusion Principle Be Proved? 3.1. Critical analysis of the existing proofs of the Pauli exclusion principle 3.2. Some contradictions with the concept of particle identity and their independence in the case of the multi-dimensional permutation representations References Chapter 4 Classification of the Pauli-Allowed States in Atoms and Molecules 4.1. Electrons in a central field 4.1.1 Equivalent electrons. L-S coupling 4.1.2. Additional quantum numbers. The seniority number 4.1.3 Equivalent electrons. j-j coupling 4.2. The connection between molecular terms and nuclear spin 4.2.1 Classification of molecular terms and the total nuclear spin 4.2.2 The determination of the nuclear statistical weights of spatial states 4.3. The representation to the group R3 References Appendix 4 Irreducible Tensor Operators A4.1 Definition A4.2 The Wigner-Eckart theorem References Appendix 5 Second Quantization References Index. |
| Descripción Física: | 1 online resource (256 pages) |
| Bibliografía: | Includes bibliographical references at the end of each chapters and index. |
| ISBN: | 9781118795248 1118795245 9781118795293 1118795296 |