rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Symmetry of many-electron systems
  title info:
    title: Simmetrii︠a︡ mnogoėlektronnykh sistem. English
  name:
    name part: Kaplan, I. G. (Ilʹi︠a︡ Grigorʹevich)
    role:
      role term: creator
  name:
    name part: Gerratt, J.
    role:
      role term: translator.
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    date issued: 1975
    issuance: monographic
  language:
    language term: eng
  language:
    language term: rus
  physical description:
    form: remote
    extent: 1 online resource (xii, 370 pages) : illustrations
  abstract: Symmetry of Many-Electron Systems discusses the group-theoretical methods applied to physical and chemical problems. Group theory allows an individual to analyze qualitatively the elements of a certain system in scope. The text evaluates the characteristics of the Schrodinger equations. It is proved that some groups of continuous transformation from the Lie groups are useful in identifying conditions and in developing wavefunctions. A section of the book is devoted to the utilization of group-theoretical methods in quantal calculations on many-electron systems. The focus is on the use of group.
  table of contents: Front Cover; Symmetry of Many-Electron Systems; Copyright Page; Table of Contents; Translator's Note; Preface to Russian Edition; PART I: MATHEMATICAL APPARATUS; CHAPTER I. Basic Concepts and Theorems of Group Theory; Part 1. Properties of Group Operations; 1.1. Group Postulates; 1.2. Examples of Groups; 1.3. Isomorphism and Homomorphism; 1.4. Subgroups and Cosets; 1.5. Conjugate Elements. Classes; 1.6. Invariant Subgroups. Factor Groups; 1.7. Direct Products of Groups; 1.8. The Semidirect Product; Part 2. Representations of Groups; 1.9. Definition; 1.10. Vector Spaces
  table of contents: 1.11. Reducibility of Representations1.12. Properties of Irreducible Representations; 1.13. Characters; 1.14. The Calculation of the Characters of Irreducible Representations; 1.15. The Decomposition of a Reducible Representation; 1.16. The Direct Product of Representations; 1.17. Clebsch-Gordan Coefficients; 1.18. The Regular Representation; 1.19. The Construction of Basis Functions for Irreducible Representations; CHAPTER II. The Permutation Group; Part 1. General Considerations; 2.1. Operations with Permutations; 2.2. Classes; 2.3. Young Diagrams and Irreducible Representations
  table of contents: Part 2. The Standard Young-Yamanouchi OrthogonalRepresentation2.4. Young Tableaux; 2.5. Explicit Determination of the Matrices of the Standard Representation; 2.6. The Conjugate Representation; 2.7. The Construction of an Antisymmetric Function from the Basis Functions for Two Conjugate Representations; 2.8. Young Operators; 2.9. The Construction of Basis Functions for a StandardRepresentation from a Product of N Orthogonal Functions; Part 3. The Nonstandard Representation; 2.10. Definition; 2.11. The Transformation Matrix; 2.12. Some Generalizations
  table of contents: 2.13. Young Operators in a Nonstandard RepresentationCHAPTER III. Groups of Linear Transformations; Part 1. Continuous Groups; 3.1. Definition. Distinctive Features of Continuous Groups; 3.2. Examples of Linear Groups; 3.3. Infinitesimal Operators; Part 2. The Three-Dimensional Rotation Group; 3.4. Rotation Operators and Angular Momentum Operators; 3.5. Irreducible Representations; 3.6. Reduction of the Direct Product of Two Irreducible Representations; 3.7. Reduction of t he Direct Product of k Irreducible Representations. 3n-j Symbols; Part 3. Point Groups
  note: I.G. Kaplan ; translated by J. Gerratt.
  note: Includes bibliographical references.
  note: English.
  subject:
    topic: Mathematical physics
  subject:
    topic: Nuclear physics
  subject:
    topic: Group theory
  subject:
    topic: Quantum theory
  subject:
    topic: Physique mathématique
  subject:
    topic: Physique nucléaire
  subject:
    topic: Théorie des groupes
  subject:
    topic: Théorie quantique
  subject:
    topic: nuclear physics
  subject:
    topic: SCIENCE
    topic: Physics
    topic: Quantum Theory
  subject:
    topic: Group theory
  subject:
    topic: Mathematical physics
  subject:
    topic: Nuclear physics
  subject:
    topic: Quantum theory
  classification: QC20 .K3713 1975
  classification: 539.7/2112
  classification: 31.81
  classification: 31.21
  classification: 33.23
  classification: 33.56
  related item:
    title info:
      title: Physical chemistry ; volume 34
  identifier: 9781483191737
  identifier: 1483191737
  identifier: 9780123971500
  identifier: 0123971500
  identifier: 73000803
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 140627
    record change date: 20260326205331.6
    record identifier: in00005755220
    language of cataloging:
      language term: eng