Group Theory and Quantum Mechanics
| Group Theory and Quantum Mechanics |
| Autore | Tinkham Michael |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Mineola, New York : , : Dover Publications, , 1992 |
| Descrizione fisica |
1 online resource
1 online resource (618 p.) |
| Disciplina | 530.12 |
| Collana | Dover Books on Chemistry |
| Soggetto topico |
Quantum theory
Group theory |
| ISBN |
9780486131665
0486131661 9781621985938 1621985938 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Preface; Contents; I Introduction; 1-1 The Nature of the Problem; 1-2 The Role of Symmetry; 2 Abstract Group Theory; 2-1 Definitions and Nomenclature; 2-2 Illustrative Examples; 2-3 Rearrangement Theorem; 2-4 Cyclic Groups; 2-5 Subgroups and Cosets; 2-6 Example Groups of Finite Order; 2-7 Conjugate Elements and Class Structure; 2-8 Normal Divisors and Factor Groups; 2-9 Class Multiplication; Exercises; References; 3 Theory of Group Representations; 3-1 Definitions; 3-2 Proof of the Orthogonality Theorem; 3-3 The Character of a Representation
3-4 Construction of Character Tables3-5 Decomposition of Reducible Representations; 3-6 Application of Representation Theory in Quantum Mechanics; 3-7 Illustrative Representations of Abelian Groups; 3-8 Basis Functions for Irreducible Representations; 3-9 Direct-product Groups; 3-10 Direct-product Representations within a Group; Exercises; References; 4 Physical Applications of Group Theory; 4-1 Crystal-symmetry Operators; 4-2 The Crystallographic Point Groups; 4-3 Irreducible Representations of the Point Groups; 4-4 Elementary Representations of the Three-dimensional Rotation Group 4-5 Crystal-field Splitting of Atomic Energy Levels4-6 Intermediate Crystal-field-splitting Case; 4-7 Weak-crystal-field Case and Crystal Double Groups; 4-8 Introduction of Spin Effects in the Medium-field Case; 4-9 Group-theoretical Matrix-element Theorems; 4-10 Selection Rules and Parity; 4-11 Directed Valence; 4-12 Application of Group Theory to Directed Valence; Exercises; References; 5 Full Rotation Group and Angular Momentum; 5-1 Rotational Transformation Properties and Angular Momentum; 5-2 Continuous Groups; 5-3 Representation of Rotations through Eulerian Angles 5-4 Homomorphism with the Unitary Group5-5 Representations of the Unitary Group; 5-6 Representation of the Rotation Group by Representations of the Unitary Group; 5-7 Application of the Rotation-representation Matrices; 5-8 Vector Model for Addition of Angular Momenta; 5-9 The Wigner or Clebsch-Gordan Coefficients; 5-10 Notation, Tabulations, and Symmetry Properties of the Wigner Coefficients; 5-11 Tensor Operators; 5-12 The Wigner-Eckart Theorem; 5-13 The Racah Coefficients; 5-14 Application of Racah Coefficients; 5-15 The Rotation-Inversion Group; 5-16 Time-reversal Symmetry 5-17 More General InvariancesExercises; References; 6 Quantum Mechanics of Atoms; 6-1 Review of Elementary Atomic Structure and Nomenclature; 6-2 The Hamiltonian; 6-3 Approximate Eigenfunctions; 6-4 Calculation of Matrix Elements between Determinantal Wavefunctions; 6-5 Hartree-Fock Method; 6-6 Calculation of L-S-term Energies; 6-7 Evaluation of Matrix Elements of the Energy; 6-8 Eigenfunctions and Angular-momentum Operations; 6-9 Calculation of Fine Structure; 6-10 Zeeman Effect; 6-11 Magnetic Hyperfine Structure; 6-12 Electric Hyperfine Structure; Exercises; References 7 Molecular Quantum Mechanics |
| Record Nr. | UNINA-9911007075503321 |
Tinkham Michael
|
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| Mineola, New York : , : Dover Publications, , 1992 | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to superconductivity / / Michael Tinkham [[electronic resource]]
| Introduction to superconductivity / / Michael Tinkham [[electronic resource]] |
| Autore | Tinkham Michael |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Mineola, N.Y., : Dover Publications, 2004 |
| Descrizione fisica | 1 online resource (xxi, 454 p. ) : ill. ; |
| Disciplina | 537.6/23 |
| Soggetto topico |
Superconductivity
Physics Physical Sciences & Mathematics Electricity & Magnetism |
| ISBN | 1-62198-598-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | Introduction to Superconductivity |
| Record Nr. | UNINA-9911007193603321 |
Tinkham Michael
|
||
| Mineola, N.Y., : Dover Publications, 2004 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||