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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Kaplan, Ilya G. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Wiley, 2016.
Edición:1st
Temas:
Pauli exclusion principle.
Principe d'exclusion de Pauli.
SCIENCE > Chemistry > Physical & Theoretical.
Pauli exclusion principle
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.
  • 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.
  • 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.

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