Cargando…
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 |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Wiley,
2016.
|
| Edición: | 1st |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn964360975 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 161119s2016 xxk fob 001 0 eng d | ||
| 040 | |a NLE |b eng |e rda |e pn |c NLE |d EBLCP |d RECBK |d MERUC |d OCLCQ |d LVT |d OCLCO |d CUY |d OCLCF |d ZCU |d ICG |d DKC |d OCLCQ |d UKAHL |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d OCLCL | ||
| 020 | |a 9781118795248 |q (EPUB) | ||
| 020 | |a 1118795245 | ||
| 020 | |a 9781118795293 |q (e-book) | ||
| 020 | |a 1118795296 | ||
| 020 | |z 9781118795323 | ||
| 029 | 1 | |a AU@ |b 000062537244 | |
| 035 | |a (OCoLC)964360975 | ||
| 037 | |a 9781118795248 |b Wiley | ||
| 050 | 4 | |a QC174.17.P3K37 2017 | |
| 082 | 0 | 4 | |a 530.12 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Kaplan, Ilya G., |e author |u Universidad Nacional Autonoma de Mexico | |
| 245 | 1 | 4 | |a The Pauli Exclusion Principle : |b Origin, Verifications, and Applications / |c Ilya G. Kaplan. |
| 250 | |a 1st | ||
| 264 | 1 | |b Wiley, |c 2016. | |
| 300 | |a 1 online resource (256 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 500 | |a 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. | ||
| 500 | |a 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. | ||
| 500 | |a 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. | ||
| 520 | |a 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. | ||
| 505 | 0 | |a Intro -- Title Page -- Copyright -- Contents -- 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-Symmetric 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 Multidimensional Pe ... -- 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 Determination of Electronic Molecular Multiplets -- 4.3.1 Valence Bond Method -- 4.3.2 Degenerate Orbitals and One Valence Electron on Each Atom -- 4.3.3 Several Electrons Specified on One of the Atoms -- 4.3.4 Diatomic Molecule with Identical Atoms -- 4.3.5 General Case I -- 4.3.6 General Case II -- References -- Chapter 5 Parastatistics, Fractional Statistics, and Statistics of Quasiparticles of Different Kind -- 5.1 Short Account of Parastatistics. | |
| 505 | 8 | |a 5.2 Statistics of Quasiparticles in a Periodical Lattice -- 5.2.1 Holes as Collective States -- 5.2.2 Statistics and Some Properties of Holon Gas -- 5.2.3 Statistics of Hole Pairs -- 5.3 Statistics of Coopeŕs Pairs -- 5.4 Fractional Statistics -- 5.4.1 Eigenvalues of Angular Momentum in the Three- and Two-Dimensional Space -- 5.4.2 Anyons and Fractional Statistics -- References -- Appendix A: Necessary Basic Concepts and Theorems of Group Theory -- A.1 Properties of Group Operations -- A.1.1 Group Postulates -- A.1.2 Examples of Groups -- A.1.3 Isomorphism and Homomorphism -- A.1.4 Subgroups and Cosets -- A.1.5 Conjugate Elements. Classes -- A.2 Representation of Groups -- A.2.1 Definition -- A.2.2 Vector Spaces -- A.2.3 Reducibility of Representations -- A.2.4 Properties of Irreducible Representations -- A.2.5 Characters -- A.2.6 The Decomposition of a Reducible Representation -- A.2.7 The Direct Product of Representations -- A.2.8 Clebsch-Gordan Coefficients -- A.2.9 The Regular Representation -- A.2.10 The Construction of Basis Functions for Irreducible Representation -- References -- Appendix B: The Permutation Group -- B.1 General Information -- B.1.1 Operations with Permutation -- B.1.2 Classes -- B.1.3 Young Diagrams and Irreducible Representations -- B.2 The Standard Young-Yamanouchi Orthogonal Representation -- B.2.1 Young Tableaux -- B.2.2 Explicit Determination of the Matrices of the Standard Representation -- B.2.3 The Conjugate Representation -- B.2.4 The Construction of an Antisymmetric Function from the Basis Functions for Two Conjugate Representations -- B.2.5 Young Operators -- B.2.6 The Construction of Basis Functions for the Standard Representation from a Product of N Orthogonal Functions -- References -- Appendix C : The Interconnection between Linear Groups and Permutation Groups -- C.1 Continuous Groups -- C.1.1 Definition. | |
| 505 | 8 | |a C.1.2 Examples of Linear Groups -- C.1.3 Infinitesimal Operators -- C.2 The Three-Dimensional Rotation Group -- C.2.1 Rotation Operators and Angular Momentum Operators -- C.2.2 Irreducible Representations -- C.2.3 Reduction of the Direct Product of Two Irreducible Representations -- C.2.4 Reduction of the Direct Product of k Irreducible Representations. 3n-j Symbols -- C.3 Tensor Representations -- C.3.1 Construction of a Tensor Representation -- C.3.2 Reduction of a Tensor Representation into Reducible Components -- C.3.3 Littlewoodś Theorem -- C.3.4 The Reduction of U2j+1 → R3 -- C.4 Tables of the Reduction of the Representations U2j+1? to the Group R3 -- References -- Appendix D: Irreducible Tensor Operators -- D.1 Definition -- D.2 The Wigner-Eckart Theorem -- References -- Appendix E: Second Quantization -- References -- Index -- EULA. | |
| 504 | |a Includes bibliographical references at the end of each chapters and index. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Pauli exclusion principle. | |
| 650 | 6 | |a Principe d'exclusion de Pauli. | |
| 650 | 7 | |a SCIENCE |x Chemistry |x Physical & Theoretical. |2 bisacsh | |
| 650 | 7 | |a Pauli exclusion principle |2 fast | |
| 758 | |i has work: |a The Pauli Exclusion Principle (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFyyfD76fTQFWjYYqPWCcP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Kaplan, I.G. (Il'ia Grigor'evich). |t Pauli exclusion principle : origin, verifications and applications. |d Chichester, West Sussex, England : Wiley, ©2017 |h xii, 238 pages |z 9781118795323 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=4797359 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH30712325 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH30712327 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL4797359 | ||
| 938 | |a Recorded Books, LLC |b RECE |n rbeEB00696786 | ||
| 994 | |a 92 |b IZTAP | ||