Spin Eigenfunctions : Construction and Use / by Ruben Pauncz.
1. Introduction.- 1.1. Electronic States with Definite Multiplicities.- 1.2. Basic Facts with Respect to the Spin.- 1.3. Spin Operators and Functions for One Electron.- 1.4. Addition Theorem of Angular Momenta.- References.- 2. Construction of Spin Eigenfunctions from the Products of One-Electron Sp...
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| Language: | English |
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Boston, MA :
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1979.
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MARC
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| 100 | 1 | |a Pauncz, Ruben. | |
| 245 | 1 | 0 | |a Spin Eigenfunctions : |b Construction and Use / |c by Ruben Pauncz. |
| 260 | |a Boston, MA : |b Springer US, |c 1979. | ||
| 300 | |a 1 online resource (386 pages) | ||
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| 505 | 0 | |a 1. Introduction -- 2. Construction of Spin Eigenfunctions from the Products of One-Electron Spin Functions -- 3. Construction of Spin Eigenfunctions from the Products of Two-Electron Spin Eigenfunctions -- 4. Construction of Spin Eigenfunctions by the Projection Operator Method -- 5. Spin-Paired Spin Eigenfunctions -- 6. Basic Notions of the Theory of the Symmetric Group -- 7. Representations of the Symmetric Group Generated by the Spin Eigenfunctions -- 8. Representations of the Symmetric Group Generated by the Projected Spin Functions and Valence Bond Functions -- 9. Combination of Spatial and Spin Functions; Calculation of the Matrix Elements of Operators -- 10. Calculation of the Matrix Elements of the Hamiltonian; Orthogonal Spin Functions -- 11. Calculation of the Matrix Elements of the Hamiltonian; Nonorthogonal Spin Functions -- 12. Spin-Free Quantum Chemistry -- 13. Matrix Elements of the Hamiltonian and the Representation of the Unitary Group -- Appendix 1. Some Basic Algebraic Notions -- A.1.1. Introduction -- A.1.2. Frobenius or Group Algebra; Convolution Algebra -- A.1.2.1. Invariant Mean -- A.1.2.2. Frobenius or Group Algebra -- A.1.2.3. Convolution Algebra -- A.1.3. Some Algebraic Notions -- A.1.4. The Centrum of the Algebra -- A.1.5. Irreducible Representations; Schur's Lemma -- A.1.6. The Matric Basis -- A.1.7. Symmetry Adaptation -- A.1.8. Wigner-Eckart Theorem -- References -- Appendix 2. The Coset Representation -- A.2.1. Introduction -- A.2.2. The Character of an Element g in the Coset Representation. -- Appendix 3. Double Coset -- A.3.1. The Double Coset Decomposition -- A.3.2. The Number of Elements in a Double Coset -- Appendix 4. The Method of Spinor Invariants -- A.4.1. Spinors and Their Transformation Properties -- A.4.2. The Method of Spinor Invariants -- A.4.3. Construction of the Genealogical Spin Functions by the Method of Spinor Invariants -- A.4.4. Normalization Factors -- A.4.5. Construction of the Serber Functions by the Method of Spinor Invariants -- A.4.6. Singlet Functions as Spinor Invariants -- References -- A.5.1. The Formalism of Second Quantization -- A.5.2. Representation of the Spin Operators in the Second-Quantization Formalism -- A.5.3. Review of the Papers That Use the Second-Quantization Formalism for the Construction of Spin Eigenfunctions -- A.5.3.1. Genealogical Construction -- A.5.3.2. Projection Operator Method -- A.5.3.3. Valence Bond Method -- A.5.3.4. The Occupation-Branching-Number Representation -- References -- Appendix 6. Table of Sanibel Coefficients -- Reference -- Author Index. | |
| 520 | |a 1. Introduction.- 1.1. Electronic States with Definite Multiplicities.- 1.2. Basic Facts with Respect to the Spin.- 1.3. Spin Operators and Functions for One Electron.- 1.4. Addition Theorem of Angular Momenta.- References.- 2. Construction of Spin Eigenfunctions from the Products of One-Electron Spin Functions.- 2.1. The Resultant Spin Operator and the Dirac Identity.- 2.2. Eigenfunctions of S2.- 2.3. Construction of S2 Eigenfunctions by the Diagonalization of the S2 Matrix.- 2.4. Construction of S2 Eigenfunctions by the Orthogonalization Procedure.- 2.5. Dimension of the Spin Degeneracy.- 2. | ||
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