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Molecular electronic-structure theory / / Trygve Helgaker, Poul Jorgensen, Jeppe Olsen
| Molecular electronic-structure theory / / Trygve Helgaker, Poul Jorgensen, Jeppe Olsen |
| Autore | Helgaker Trygve |
| Pubbl/distr/stampa | Chichester, England : , : John Wiley & Sons Ltd., , 2012 |
| Descrizione fisica | 1 online resource (940 p.) |
| Disciplina | 541.28 |
| Soggetto topico |
Molecular structure
Electronic structure |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-119-01957-5
1-119-01955-9 1-119-01956-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; Overview; Programs used in the preparation of this book; 1 Second Quantization; 1.1 The Fock space; 1.2 Creation and annihilation operators; 1.2.1 Creation operators; 1.2.2 Annihilation operators; 1.2.3 Anticommutation relations; 1.3 Number-conserving operators; 1.3.1 Occupation-number operators; 1.3.2 The number operator; 1.3.3 Excitation operators; 1.4 The representation of one- and two-electron operators; 1.4.1 One-electron operators; 1.4.2 Two-electron operators; 1.4.3 The molecular electronic Hamiltonian
1.5 Products of operators in second quantization1.5.1 Operator products; 1.5.2 The canonical commutators; 1.6 First- and second-quantization operators compared; 1.7 Density matrices; 1.7.1 The one-electron density matrix; 1.7.2 The two-electron density matrix; 1.7.3 Density matrices in spin-orbital and coordinate representations; 1.8 Commutators and anti commutators; 1.9 Nonorthogonal spin orbitals; 1.9.1 Creation and annihilation operators; 1.9.2 One- and two-electron operators; 1.9.3 Biorthogonal operators; References; Further reading; Exercises; Solutions; 2 Spin in Second Quantization 2.1 Spin functions2.2 Operators in the orbital basis; 2.2.1 Spin-free operators; 2.2.2 Spin operators; 2.2.3 Mixed operators; 2.3 Spin tensor operators; 2.3.1 Spin tensor operators; 2.3.2 Creation and annihilation operators; 2.3.3 Two-body creation operators; 2.3.4 Excitation operators; 2.3.5 Singlet excitation operators; 2.4 Spin properties of determinants; 2.4.1 General considerations; 2.4.2 Spin projection of determinants; 2.4.3 Total spin of determinants; 2.5 Configuration state functions; 2.6 The genealogical coupling scheme; 2.6.1 Representations of determinants and CSFs 2.6.2 Genealogical coupling2.6.3 Coupling coefficients; 2.6.4 An example: three electrons in three orbitals; 2.6.5 Completeness and orthonormality; 2.6.6 Transformations between determinant and CSF bases; 2.6.7 Genealogical coupling of operators; 2.7 Density matrices; 2.7.1 Orbital-density matrices; 2.7.2 Spin-density matrices; 2.7.3 Density functions; References; Further reading; Exercises; Solutions; 3 Orbital Rotations; 3.1 Unitary transformations and matrix exponentials; 3.1.1 Matrix exponentials; 3.1.2 Exponential representations of unitary matrices; 3.1.3 Special unitary matrices 3.1.4 Orthogonal matrices3.1.5 Evaluation of matrix exponentials; 3.1.6 Nonunitary transformations; 3.2 Unitary spin-orbital transfonnations; 3.2.1 Unitary matrix expansions of creation and annihilation operators; 3.2.2 Exponential unitary transfonnations of the elementary operators; 3.2.3 Exponential unitary transfonnations of states in Fock space; 3.3 Symmetry-restricted unitary transfonnations; 3.3.1 The need for symmetry restrictions; 3.3.2 Symmetry restrictions in the spin-orbital basis; 3.3.3 Symmetry restrictions in the orbital basis; 3.4 The logarithmic matrix function 3.4.1 Definition of the logarithmic matrix function |
| Record Nr. | UNINA-9910208845103321 |
Helgaker Trygve
|
||
| Chichester, England : , : John Wiley & Sons Ltd., , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Molecular electronic-structure theory / / Trygve Helgaker, Poul Jorgensen, Jeppe Olsen
| Molecular electronic-structure theory / / Trygve Helgaker, Poul Jorgensen, Jeppe Olsen |
| Autore | Helgaker Trygve |
| Pubbl/distr/stampa | Chichester, England : , : John Wiley & Sons Ltd., , 2012 |
| Descrizione fisica | 1 online resource (940 p.) |
| Disciplina | 541.28 |
| Soggetto topico |
Molecular structure
Electronic structure |
| ISBN |
1-119-01957-5
1-119-01955-9 1-119-01956-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; Overview; Programs used in the preparation of this book; 1 Second Quantization; 1.1 The Fock space; 1.2 Creation and annihilation operators; 1.2.1 Creation operators; 1.2.2 Annihilation operators; 1.2.3 Anticommutation relations; 1.3 Number-conserving operators; 1.3.1 Occupation-number operators; 1.3.2 The number operator; 1.3.3 Excitation operators; 1.4 The representation of one- and two-electron operators; 1.4.1 One-electron operators; 1.4.2 Two-electron operators; 1.4.3 The molecular electronic Hamiltonian
1.5 Products of operators in second quantization1.5.1 Operator products; 1.5.2 The canonical commutators; 1.6 First- and second-quantization operators compared; 1.7 Density matrices; 1.7.1 The one-electron density matrix; 1.7.2 The two-electron density matrix; 1.7.3 Density matrices in spin-orbital and coordinate representations; 1.8 Commutators and anti commutators; 1.9 Nonorthogonal spin orbitals; 1.9.1 Creation and annihilation operators; 1.9.2 One- and two-electron operators; 1.9.3 Biorthogonal operators; References; Further reading; Exercises; Solutions; 2 Spin in Second Quantization 2.1 Spin functions2.2 Operators in the orbital basis; 2.2.1 Spin-free operators; 2.2.2 Spin operators; 2.2.3 Mixed operators; 2.3 Spin tensor operators; 2.3.1 Spin tensor operators; 2.3.2 Creation and annihilation operators; 2.3.3 Two-body creation operators; 2.3.4 Excitation operators; 2.3.5 Singlet excitation operators; 2.4 Spin properties of determinants; 2.4.1 General considerations; 2.4.2 Spin projection of determinants; 2.4.3 Total spin of determinants; 2.5 Configuration state functions; 2.6 The genealogical coupling scheme; 2.6.1 Representations of determinants and CSFs 2.6.2 Genealogical coupling2.6.3 Coupling coefficients; 2.6.4 An example: three electrons in three orbitals; 2.6.5 Completeness and orthonormality; 2.6.6 Transformations between determinant and CSF bases; 2.6.7 Genealogical coupling of operators; 2.7 Density matrices; 2.7.1 Orbital-density matrices; 2.7.2 Spin-density matrices; 2.7.3 Density functions; References; Further reading; Exercises; Solutions; 3 Orbital Rotations; 3.1 Unitary transformations and matrix exponentials; 3.1.1 Matrix exponentials; 3.1.2 Exponential representations of unitary matrices; 3.1.3 Special unitary matrices 3.1.4 Orthogonal matrices3.1.5 Evaluation of matrix exponentials; 3.1.6 Nonunitary transformations; 3.2 Unitary spin-orbital transfonnations; 3.2.1 Unitary matrix expansions of creation and annihilation operators; 3.2.2 Exponential unitary transfonnations of the elementary operators; 3.2.3 Exponential unitary transfonnations of states in Fock space; 3.3 Symmetry-restricted unitary transfonnations; 3.3.1 The need for symmetry restrictions; 3.3.2 Symmetry restrictions in the spin-orbital basis; 3.3.3 Symmetry restrictions in the orbital basis; 3.4 The logarithmic matrix function 3.4.1 Definition of the logarithmic matrix function |
| Record Nr. | UNINA-9910830592703321 |
|
Helgaker Trygve
|
||
| Chichester, England : , : John Wiley & Sons Ltd., , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Molecular electronic-structure theory / / Trygve Helgaker, Poul Jorgensen, Jeppe Olsen
| Molecular electronic-structure theory / / Trygve Helgaker, Poul Jorgensen, Jeppe Olsen |
| Autore | Helgaker Trygve |
| Pubbl/distr/stampa | Chichester, England : , : John Wiley & Sons Ltd., , 2012 |
| Descrizione fisica | 1 online resource (940 p.) |
| Disciplina | 541.28 |
| Soggetto topico |
Molecular structure
Electronic structure |
| ISBN |
1-119-01957-5
1-119-01955-9 1-119-01956-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; Overview; Programs used in the preparation of this book; 1 Second Quantization; 1.1 The Fock space; 1.2 Creation and annihilation operators; 1.2.1 Creation operators; 1.2.2 Annihilation operators; 1.2.3 Anticommutation relations; 1.3 Number-conserving operators; 1.3.1 Occupation-number operators; 1.3.2 The number operator; 1.3.3 Excitation operators; 1.4 The representation of one- and two-electron operators; 1.4.1 One-electron operators; 1.4.2 Two-electron operators; 1.4.3 The molecular electronic Hamiltonian
1.5 Products of operators in second quantization1.5.1 Operator products; 1.5.2 The canonical commutators; 1.6 First- and second-quantization operators compared; 1.7 Density matrices; 1.7.1 The one-electron density matrix; 1.7.2 The two-electron density matrix; 1.7.3 Density matrices in spin-orbital and coordinate representations; 1.8 Commutators and anti commutators; 1.9 Nonorthogonal spin orbitals; 1.9.1 Creation and annihilation operators; 1.9.2 One- and two-electron operators; 1.9.3 Biorthogonal operators; References; Further reading; Exercises; Solutions; 2 Spin in Second Quantization 2.1 Spin functions2.2 Operators in the orbital basis; 2.2.1 Spin-free operators; 2.2.2 Spin operators; 2.2.3 Mixed operators; 2.3 Spin tensor operators; 2.3.1 Spin tensor operators; 2.3.2 Creation and annihilation operators; 2.3.3 Two-body creation operators; 2.3.4 Excitation operators; 2.3.5 Singlet excitation operators; 2.4 Spin properties of determinants; 2.4.1 General considerations; 2.4.2 Spin projection of determinants; 2.4.3 Total spin of determinants; 2.5 Configuration state functions; 2.6 The genealogical coupling scheme; 2.6.1 Representations of determinants and CSFs 2.6.2 Genealogical coupling2.6.3 Coupling coefficients; 2.6.4 An example: three electrons in three orbitals; 2.6.5 Completeness and orthonormality; 2.6.6 Transformations between determinant and CSF bases; 2.6.7 Genealogical coupling of operators; 2.7 Density matrices; 2.7.1 Orbital-density matrices; 2.7.2 Spin-density matrices; 2.7.3 Density functions; References; Further reading; Exercises; Solutions; 3 Orbital Rotations; 3.1 Unitary transformations and matrix exponentials; 3.1.1 Matrix exponentials; 3.1.2 Exponential representations of unitary matrices; 3.1.3 Special unitary matrices 3.1.4 Orthogonal matrices3.1.5 Evaluation of matrix exponentials; 3.1.6 Nonunitary transformations; 3.2 Unitary spin-orbital transfonnations; 3.2.1 Unitary matrix expansions of creation and annihilation operators; 3.2.2 Exponential unitary transfonnations of the elementary operators; 3.2.3 Exponential unitary transfonnations of states in Fock space; 3.3 Symmetry-restricted unitary transfonnations; 3.3.1 The need for symmetry restrictions; 3.3.2 Symmetry restrictions in the spin-orbital basis; 3.3.3 Symmetry restrictions in the orbital basis; 3.4 The logarithmic matrix function 3.4.1 Definition of the logarithmic matrix function |
| Record Nr. | UNISA-996226143203316 |
|
Helgaker Trygve
|
||
| Chichester, England : , : John Wiley & Sons Ltd., , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||