Concepts of highly excited electronic systems [[electronic resource] /] / Jamal Berakdar |
Autore | Berakdar J. <1964-> |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Weinheim, : Wiley-VCH, c2003 |
Descrizione fisica | 1 online resource (315 p.) |
Disciplina | 530.4 |
Soggetto topico |
Electronic excitation
Few-body problem Two-body problem Coulomb excitation Coulomb potential |
Soggetto genere / forma | Electronic books. |
ISBN |
1-280-52102-3
9786610521029 3-527-60638-6 3-527-60251-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Concepts of Highly Excited Electronic Systems; Contents; Preface; 1 The two-body Kepler problem: A classical treatment; 2 Quantum mechanics of two-body Coulomb systems; 2.1 Historical background; 2.2 Group theoretical approach to the two-body problem; 2.2.1 The bound spectrum; 2.2.2 Eigenstates of two charged-particle systems; 2.3 The two-body Coulomb wave functions; 2.3.1 Spherical coordinates; 2.3.2 Parabolic coordinates; 2.3.3 Analytical continuation of the two-body Coulomb wave functions; 3 One particle in an arbitrary potential; 3.1 The variable-phase method
3.2 Phase-amplitude equations for non-local potentials3.2.1 The local potential case; 3.2.2 Numerical considerations; 3.3 The scattering amplitude representation; 3.4 Illustrative examples; 4 Ground states of many-electron systems; 4.1 Time-scale separation; 4.2 Hartree-Fock approximation; 4.2.1 Basis set expansion; 4.3 Configuration interaction; 4.4 The coupled cluster method; 4.5 Variational and diffusion Monte Carlo techniques; 4.6 Density functional theory; 4.6.1 The Hohenberg-Kohn theorem; 4.6.2 The Kohn-Sham equations; 4.6.3 The local density approximation; 4.6.4 Gradient corrections 4.6.5 Implicit orbital functionals4.6.6 Self-interaction corrections; 4.6.7 Extensions of DFT; 5 Electronic excitations; 5.1 Electric dipole transitions; 5.2 Single-photoelectron emission; 5.2.1 One-electron photoemission from unpolarized targets; 5.2.2 Single photoemission from polarized targets; 5.3 General properties of emitted dipole radiation; 5.4 Symmetry properties of many-body photoexcitations; 5.4.1 Propensity rules for the dichroism in multiple photoionization; 5.5 Resonant photoexcitaions processes; 5.5.1 Single channel; 5.5.2 Multi-channel resonant photoexcitations 5.6 Few-body resonances5.6.1 Regularities and classifications of doubly excited states; 5.6.2 Complex rotation method; 6 Two-electrons systems at the complete fragmentation threshold: Wannier theory; 6.1 Classical mechanics of two excited electrons at the double escape threshold; 6.1.1 Wannier threshold law: a classical approach; 6.1.2 Remarks on the classical treatment of two electrons at threshold; 7 Quantum mechanics of many-electron systems at the double escape threshold; 7.1 Generalities of many-electron threshold escape; 7.1.1 Cross section dependence on the number of escaping particles 7.1.2 Structure of the total potential surface for N electron systems7.1.3 Quantum mechanics of N electrons at low kinetic energies; 7.1.4 Quantal calculations of the universal threshold behaviour; 7.1.5 Incorporation of symmetry and spin in many-particle wave functions; 8 Highly excited states of many-body systems; 8.1 General remarks on the structure of the N particle Schrödinger equation; 8.1.1 The Fock expansion; 8.1.2 The Kato cusp conditions; 8.1.3 Boundary conditions for the N-body problem; 9 The three-body Coulomb system; 9.1 Appropriate coordinate systems 9.1.1 Separation of internal and external coordinates |
Record Nr. | UNINA-9910146231903321 |
Berakdar J. <1964->
![]() |
||
Weinheim, : Wiley-VCH, c2003 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Concepts of highly excited electronic systems [[electronic resource] /] / Jamal Berakdar |
Autore | Berakdar J. <1964-> |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Weinheim, : Wiley-VCH, c2003 |
Descrizione fisica | 1 online resource (315 p.) |
Disciplina | 530.4 |
Soggetto topico |
Electronic excitation
Few-body problem Two-body problem Coulomb excitation Coulomb potential |
ISBN |
1-280-52102-3
9786610521029 3-527-60638-6 3-527-60251-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Concepts of Highly Excited Electronic Systems; Contents; Preface; 1 The two-body Kepler problem: A classical treatment; 2 Quantum mechanics of two-body Coulomb systems; 2.1 Historical background; 2.2 Group theoretical approach to the two-body problem; 2.2.1 The bound spectrum; 2.2.2 Eigenstates of two charged-particle systems; 2.3 The two-body Coulomb wave functions; 2.3.1 Spherical coordinates; 2.3.2 Parabolic coordinates; 2.3.3 Analytical continuation of the two-body Coulomb wave functions; 3 One particle in an arbitrary potential; 3.1 The variable-phase method
3.2 Phase-amplitude equations for non-local potentials3.2.1 The local potential case; 3.2.2 Numerical considerations; 3.3 The scattering amplitude representation; 3.4 Illustrative examples; 4 Ground states of many-electron systems; 4.1 Time-scale separation; 4.2 Hartree-Fock approximation; 4.2.1 Basis set expansion; 4.3 Configuration interaction; 4.4 The coupled cluster method; 4.5 Variational and diffusion Monte Carlo techniques; 4.6 Density functional theory; 4.6.1 The Hohenberg-Kohn theorem; 4.6.2 The Kohn-Sham equations; 4.6.3 The local density approximation; 4.6.4 Gradient corrections 4.6.5 Implicit orbital functionals4.6.6 Self-interaction corrections; 4.6.7 Extensions of DFT; 5 Electronic excitations; 5.1 Electric dipole transitions; 5.2 Single-photoelectron emission; 5.2.1 One-electron photoemission from unpolarized targets; 5.2.2 Single photoemission from polarized targets; 5.3 General properties of emitted dipole radiation; 5.4 Symmetry properties of many-body photoexcitations; 5.4.1 Propensity rules for the dichroism in multiple photoionization; 5.5 Resonant photoexcitaions processes; 5.5.1 Single channel; 5.5.2 Multi-channel resonant photoexcitations 5.6 Few-body resonances5.6.1 Regularities and classifications of doubly excited states; 5.6.2 Complex rotation method; 6 Two-electrons systems at the complete fragmentation threshold: Wannier theory; 6.1 Classical mechanics of two excited electrons at the double escape threshold; 6.1.1 Wannier threshold law: a classical approach; 6.1.2 Remarks on the classical treatment of two electrons at threshold; 7 Quantum mechanics of many-electron systems at the double escape threshold; 7.1 Generalities of many-electron threshold escape; 7.1.1 Cross section dependence on the number of escaping particles 7.1.2 Structure of the total potential surface for N electron systems7.1.3 Quantum mechanics of N electrons at low kinetic energies; 7.1.4 Quantal calculations of the universal threshold behaviour; 7.1.5 Incorporation of symmetry and spin in many-particle wave functions; 8 Highly excited states of many-body systems; 8.1 General remarks on the structure of the N particle Schrödinger equation; 8.1.1 The Fock expansion; 8.1.2 The Kato cusp conditions; 8.1.3 Boundary conditions for the N-body problem; 9 The three-body Coulomb system; 9.1 Appropriate coordinate systems 9.1.1 Separation of internal and external coordinates |
Record Nr. | UNINA-9910830449003321 |
Berakdar J. <1964->
![]() |
||
Weinheim, : Wiley-VCH, c2003 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Concepts of highly excited electronic systems / / Jamal Berakdar |
Autore | Berakdar J. <1964-> |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Weinheim, : Wiley-VCH, c2003 |
Descrizione fisica | 1 online resource (315 p.) |
Disciplina | 530.4 |
Soggetto topico |
Electronic excitation
Few-body problem Two-body problem Coulomb excitation Coulomb potential |
ISBN |
1-280-52102-3
9786610521029 3-527-60638-6 3-527-60251-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Concepts of Highly Excited Electronic Systems; Contents; Preface; 1 The two-body Kepler problem: A classical treatment; 2 Quantum mechanics of two-body Coulomb systems; 2.1 Historical background; 2.2 Group theoretical approach to the two-body problem; 2.2.1 The bound spectrum; 2.2.2 Eigenstates of two charged-particle systems; 2.3 The two-body Coulomb wave functions; 2.3.1 Spherical coordinates; 2.3.2 Parabolic coordinates; 2.3.3 Analytical continuation of the two-body Coulomb wave functions; 3 One particle in an arbitrary potential; 3.1 The variable-phase method
3.2 Phase-amplitude equations for non-local potentials3.2.1 The local potential case; 3.2.2 Numerical considerations; 3.3 The scattering amplitude representation; 3.4 Illustrative examples; 4 Ground states of many-electron systems; 4.1 Time-scale separation; 4.2 Hartree-Fock approximation; 4.2.1 Basis set expansion; 4.3 Configuration interaction; 4.4 The coupled cluster method; 4.5 Variational and diffusion Monte Carlo techniques; 4.6 Density functional theory; 4.6.1 The Hohenberg-Kohn theorem; 4.6.2 The Kohn-Sham equations; 4.6.3 The local density approximation; 4.6.4 Gradient corrections 4.6.5 Implicit orbital functionals4.6.6 Self-interaction corrections; 4.6.7 Extensions of DFT; 5 Electronic excitations; 5.1 Electric dipole transitions; 5.2 Single-photoelectron emission; 5.2.1 One-electron photoemission from unpolarized targets; 5.2.2 Single photoemission from polarized targets; 5.3 General properties of emitted dipole radiation; 5.4 Symmetry properties of many-body photoexcitations; 5.4.1 Propensity rules for the dichroism in multiple photoionization; 5.5 Resonant photoexcitaions processes; 5.5.1 Single channel; 5.5.2 Multi-channel resonant photoexcitations 5.6 Few-body resonances5.6.1 Regularities and classifications of doubly excited states; 5.6.2 Complex rotation method; 6 Two-electrons systems at the complete fragmentation threshold: Wannier theory; 6.1 Classical mechanics of two excited electrons at the double escape threshold; 6.1.1 Wannier threshold law: a classical approach; 6.1.2 Remarks on the classical treatment of two electrons at threshold; 7 Quantum mechanics of many-electron systems at the double escape threshold; 7.1 Generalities of many-electron threshold escape; 7.1.1 Cross section dependence on the number of escaping particles 7.1.2 Structure of the total potential surface for N electron systems7.1.3 Quantum mechanics of N electrons at low kinetic energies; 7.1.4 Quantal calculations of the universal threshold behaviour; 7.1.5 Incorporation of symmetry and spin in many-particle wave functions; 8 Highly excited states of many-body systems; 8.1 General remarks on the structure of the N particle Schrödinger equation; 8.1.1 The Fock expansion; 8.1.2 The Kato cusp conditions; 8.1.3 Boundary conditions for the N-body problem; 9 The three-body Coulomb system; 9.1 Appropriate coordinate systems 9.1.1 Separation of internal and external coordinates |
Record Nr. | UNINA-9910877194203321 |
Berakdar J. <1964->
![]() |
||
Weinheim, : Wiley-VCH, c2003 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Integrable systems in celestial mechanics / / Diarmuid O Mathuna |
Autore | O Mathuna Diarmuid |
Edizione | [1st ed. 2008.] |
Pubbl/distr/stampa | Boston, Mass., : Birkhauser |
Descrizione fisica | 1 online resource (240 p.) |
Disciplina | 521 |
Collana | Progress in mathematical physics |
Soggetto topico |
Celestial mechanics
Two-body problem |
ISBN |
1-281-95454-3
9786611954543 0-8176-4595-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | General Introduction -- Lagrangian Mechanics -- The Kepler Problem -- The Euler Problem I — Planar Case -- The Euler Problem II — Three-dimensional Case -- The Earth Satellite — General Analysis -- The Earth Satellite — Some Special Orbits. |
Record Nr. | UNINA-9910815046903321 |
O Mathuna Diarmuid
![]() |
||
Boston, Mass., : Birkhauser | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Integrable systems in celestial mechanics [[electronic resource] /] / Diarmuid O Mathúna |
Autore | Ó Mathúna Diarmuid |
Edizione | [1st ed. 2008.] |
Pubbl/distr/stampa | Boston, Mass., : Birkhäuser |
Descrizione fisica | 1 online resource (240 p.) |
Disciplina | 521 |
Collana | Progress in mathematical physics |
Soggetto topico |
Celestial mechanics
Two-body problem |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-95454-3
9786611954543 0-8176-4595-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | General Introduction -- Lagrangian Mechanics -- The Kepler Problem -- The Euler Problem I — Planar Case -- The Euler Problem II — Three-dimensional Case -- The Earth Satellite — General Analysis -- The Earth Satellite — Some Special Orbits. |
Record Nr. | UNINA-9910453411803321 |
Ó Mathúna Diarmuid
![]() |
||
Boston, Mass., : Birkhäuser | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Integrable systems in celestial mechanics [[electronic resource] /] / Diarmuid O Mathúna |
Autore | Ó Mathúna Diarmuid |
Edizione | [1st ed. 2008.] |
Pubbl/distr/stampa | Boston, Mass., : Birkhäuser |
Descrizione fisica | 1 online resource (240 p.) |
Disciplina | 521 |
Collana | Progress in mathematical physics |
Soggetto topico |
Celestial mechanics
Two-body problem |
ISBN |
1-281-95454-3
9786611954543 0-8176-4595-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | General Introduction -- Lagrangian Mechanics -- The Kepler Problem -- The Euler Problem I — Planar Case -- The Euler Problem II — Three-dimensional Case -- The Earth Satellite — General Analysis -- The Earth Satellite — Some Special Orbits. |
Record Nr. | UNINA-9910782362903321 |
Ó Mathúna Diarmuid
![]() |
||
Boston, Mass., : Birkhäuser | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Linear and regular celestial mechanics : perturbed two-body motion, numerical methods, canonical theory / E. L. Stiefel, G. Scheifele |
Autore | Stiefel, Eduard L. |
Pubbl/distr/stampa | Berlin : Springer-Verlag, 1971 |
Descrizione fisica | ix, 301 p. : ill. ; 24 cm. |
Disciplina | 521 |
Altri autori (Persone) | Scheifele, G. |
Collana | Grundlehren der mathematischen Wissenschaften = A series of comprehensive studies in mathematics, 0072-7830 ; 174 |
Soggetto topico |
Celestial mechanics
Hamilton-Jacobi equations Orbital mechanics Two-body problem |
ISBN | 3540051198 |
Classificazione |
AMS 70F05
AMS 70F15 AMS 70H15 AMS 70H20 AMS 70M20 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001085829707536 |
Stiefel, Eduard L.
![]() |
||
Berlin : Springer-Verlag, 1971 | ||
![]() | ||
Lo trovi qui: Univ. del Salento | ||
|