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Scattering theory of molecules, atoms, and nuclei [[electronic resource] /] / Luiz Felipe Canto, Universidade Federal do Rio de Janeiro, Brazil, Mahir S. Hussein, Universidade de Sao Paulo, Brazil
| Scattering theory of molecules, atoms, and nuclei [[electronic resource] /] / Luiz Felipe Canto, Universidade Federal do Rio de Janeiro, Brazil, Mahir S. Hussein, Universidade de Sao Paulo, Brazil |
| Autore | Canto Luiz Felipe |
| Pubbl/distr/stampa | New Jersey, : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (646 p.) |
| Disciplina |
539.7/58
539.758 |
| Altri autori (Persone) | HusseinM. S |
| Soggetto topico |
Quantum scattering
Scattering (Physics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-89996-5
981-4329-84-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Acknowledgments; Contents; Part 1: Potential Scattering; 1. Basic Notions; 1.1 Introduction; 1.2 Several definitions; 1.2.1 Types of collisions - reaction channels; 1.2.2 Q-values, threshold, open and closed channels; 1.3 Cross sections; 1.3.1 Center of mass and laboratory frames; 1.4 Classical scattering; 1.4.1 The classical cross section; 1.4.2 Orbiting, rainbow and glory scattering; 1.5 Stationary scattering of a plane wave; 1.6 Scattering of a wave packet; 1.6.1 Propagation of a free wave packet; 1.6.2 Collision of the wave packet with a target; 1.6.3 The Optical Theorem
1.7 Systems of units1.7.1 Nuclear physics; 1.7.2 Atomic and molecular physics; Exercises; 2. The Partial Wave Expansion Method; 2.1 Free particle in spherical coordinates; 2.2 Numerical solutions of the radial equation; 2.3 Scattering amplitude and cross section; 2.4 Wronskian relations; 2.5 Integral formulae for the phase shifts; 2.6 Convergence of the partial-wave expansion; 2.7 Hard sphere scattering; 2.8 Absolute phase shifts - Levinson Theorem; 2.9 Resonances; 2.9.1 Time delay; 2.10 Scattering from a square-well; 2.11 Low energy scattering; 2.11.1 The scattering length 2.11.2 The effective range formulaExercises; 3. Coulomb Scattering; 3.1 Classical mechanics description of Coulomb scattering; 3.2 Quantum mechanical description; 3.2.1 The quantum mechanical cross section in Coulomb scattering; 3.3 Partial wave expansion; 3.3.1 Approximate Coulomb phase shifts - asymptotic series; 3.3.2 Some numerical results; 3.3.2.1 Coulomb phase shifts; 3.3.2.2 Coulomb wave functions; 3.3.3 Partial-wave expansion of (+) (k; r); 3.4 Coulomb plus short-range potentials; 3.4.1 An illustration: - scattering; Exercises; 4. Green's Functions, T- and S-Matrices 4.1 Lippmann-Schwinger equations4.1.1 The free particle Green's function; 4.1.2 The scattering amplitude; 4.1.3 Orthonormality relation for scattering states; 4.1.4 The Moller wave operators; 4.2 The transition and the scattering operators; 4.2.1 The Optical Theorem; 4.2.2 The S-matrix; 4.3 The time-dependent picture; 4.3.1 Time-dependent definition of the scattering operator; 4.3.2 Energy conservation; 4.3.3 Time-reversal; 4.4 Scattering from non-local separable potentials; 4.5 Scattering from the sum of two potentials; 4.5.1 The Gell-Mann Goldberger relations 4.5.2 The Distorted Wave series4.6 Partial-wave expansions; 4.6.1 Partial-wave projection of the S- and the T-matrices; 4.6.2 The partial-wave projected two-potential formula; 4.7 Long range potentials; 4.8 Evaluation of partial-wave Green's functions; 4.8.1 Free particle's Green's function; 4.8.2 Green's functions for an arbitrary potential; Exercises; 5. Approximate Methods in Potential Scattering; 5.1 Perturbative approximations; 5.1.1 The Born series; 5.1.1.1 Applications of the first Born approximation; 5.1.2 The Distorted Wave Born series; 5.1.2.1 Partial-wave projections 5.1.2.2 An illustrative application of the DWBA |
| Record Nr. | UNINA-9910463660603321 |
Canto Luiz Felipe
|
||
| New Jersey, : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Scattering theory of molecules, atoms, and nuclei [[electronic resource] /] / Luiz Felipe Canto, Universidade Federal do Rio de Janeiro, Brazil, Mahir S. Hussein, Universidade de Sao Paulo, Brazil
| Scattering theory of molecules, atoms, and nuclei [[electronic resource] /] / Luiz Felipe Canto, Universidade Federal do Rio de Janeiro, Brazil, Mahir S. Hussein, Universidade de Sao Paulo, Brazil |
| Autore | Canto Luiz Felipe |
| Pubbl/distr/stampa | New Jersey, : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (646 p.) |
| Disciplina |
539.7/58
539.758 |
| Altri autori (Persone) | HusseinM. S |
| Soggetto topico |
Quantum scattering
Scattering (Physics) |
| ISBN |
1-283-89996-5
981-4329-84-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Acknowledgments; Contents; Part 1: Potential Scattering; 1. Basic Notions; 1.1 Introduction; 1.2 Several definitions; 1.2.1 Types of collisions - reaction channels; 1.2.2 Q-values, threshold, open and closed channels; 1.3 Cross sections; 1.3.1 Center of mass and laboratory frames; 1.4 Classical scattering; 1.4.1 The classical cross section; 1.4.2 Orbiting, rainbow and glory scattering; 1.5 Stationary scattering of a plane wave; 1.6 Scattering of a wave packet; 1.6.1 Propagation of a free wave packet; 1.6.2 Collision of the wave packet with a target; 1.6.3 The Optical Theorem
1.7 Systems of units1.7.1 Nuclear physics; 1.7.2 Atomic and molecular physics; Exercises; 2. The Partial Wave Expansion Method; 2.1 Free particle in spherical coordinates; 2.2 Numerical solutions of the radial equation; 2.3 Scattering amplitude and cross section; 2.4 Wronskian relations; 2.5 Integral formulae for the phase shifts; 2.6 Convergence of the partial-wave expansion; 2.7 Hard sphere scattering; 2.8 Absolute phase shifts - Levinson Theorem; 2.9 Resonances; 2.9.1 Time delay; 2.10 Scattering from a square-well; 2.11 Low energy scattering; 2.11.1 The scattering length 2.11.2 The effective range formulaExercises; 3. Coulomb Scattering; 3.1 Classical mechanics description of Coulomb scattering; 3.2 Quantum mechanical description; 3.2.1 The quantum mechanical cross section in Coulomb scattering; 3.3 Partial wave expansion; 3.3.1 Approximate Coulomb phase shifts - asymptotic series; 3.3.2 Some numerical results; 3.3.2.1 Coulomb phase shifts; 3.3.2.2 Coulomb wave functions; 3.3.3 Partial-wave expansion of (+) (k; r); 3.4 Coulomb plus short-range potentials; 3.4.1 An illustration: - scattering; Exercises; 4. Green's Functions, T- and S-Matrices 4.1 Lippmann-Schwinger equations4.1.1 The free particle Green's function; 4.1.2 The scattering amplitude; 4.1.3 Orthonormality relation for scattering states; 4.1.4 The Moller wave operators; 4.2 The transition and the scattering operators; 4.2.1 The Optical Theorem; 4.2.2 The S-matrix; 4.3 The time-dependent picture; 4.3.1 Time-dependent definition of the scattering operator; 4.3.2 Energy conservation; 4.3.3 Time-reversal; 4.4 Scattering from non-local separable potentials; 4.5 Scattering from the sum of two potentials; 4.5.1 The Gell-Mann Goldberger relations 4.5.2 The Distorted Wave series4.6 Partial-wave expansions; 4.6.1 Partial-wave projection of the S- and the T-matrices; 4.6.2 The partial-wave projected two-potential formula; 4.7 Long range potentials; 4.8 Evaluation of partial-wave Green's functions; 4.8.1 Free particle's Green's function; 4.8.2 Green's functions for an arbitrary potential; Exercises; 5. Approximate Methods in Potential Scattering; 5.1 Perturbative approximations; 5.1.1 The Born series; 5.1.1.1 Applications of the first Born approximation; 5.1.2 The Distorted Wave Born series; 5.1.2.1 Partial-wave projections 5.1.2.2 An illustrative application of the DWBA |
| Record Nr. | UNINA-9910788622403321 |
|
Canto Luiz Felipe
|
||
| New Jersey, : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Scattering theory of molecules, atoms, and nuclei [[electronic resource] /] / Luiz Felipe Canto, Universidade Federal do Rio de Janeiro, Brazil, Mahir S. Hussein, Universidade de Sao Paulo, Brazil
| Scattering theory of molecules, atoms, and nuclei [[electronic resource] /] / Luiz Felipe Canto, Universidade Federal do Rio de Janeiro, Brazil, Mahir S. Hussein, Universidade de Sao Paulo, Brazil |
| Autore | Canto Luiz Felipe |
| Pubbl/distr/stampa | New Jersey, : World Scientific, 2013 |
| Descrizione fisica | 1 online resource (646 p.) |
| Disciplina |
539.7/58
539.758 |
| Altri autori (Persone) | HusseinM. S |
| Soggetto topico |
Quantum scattering
Scattering (Physics) |
| ISBN |
1-283-89996-5
981-4329-84-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Acknowledgments; Contents; Part 1: Potential Scattering; 1. Basic Notions; 1.1 Introduction; 1.2 Several definitions; 1.2.1 Types of collisions - reaction channels; 1.2.2 Q-values, threshold, open and closed channels; 1.3 Cross sections; 1.3.1 Center of mass and laboratory frames; 1.4 Classical scattering; 1.4.1 The classical cross section; 1.4.2 Orbiting, rainbow and glory scattering; 1.5 Stationary scattering of a plane wave; 1.6 Scattering of a wave packet; 1.6.1 Propagation of a free wave packet; 1.6.2 Collision of the wave packet with a target; 1.6.3 The Optical Theorem
1.7 Systems of units1.7.1 Nuclear physics; 1.7.2 Atomic and molecular physics; Exercises; 2. The Partial Wave Expansion Method; 2.1 Free particle in spherical coordinates; 2.2 Numerical solutions of the radial equation; 2.3 Scattering amplitude and cross section; 2.4 Wronskian relations; 2.5 Integral formulae for the phase shifts; 2.6 Convergence of the partial-wave expansion; 2.7 Hard sphere scattering; 2.8 Absolute phase shifts - Levinson Theorem; 2.9 Resonances; 2.9.1 Time delay; 2.10 Scattering from a square-well; 2.11 Low energy scattering; 2.11.1 The scattering length 2.11.2 The effective range formulaExercises; 3. Coulomb Scattering; 3.1 Classical mechanics description of Coulomb scattering; 3.2 Quantum mechanical description; 3.2.1 The quantum mechanical cross section in Coulomb scattering; 3.3 Partial wave expansion; 3.3.1 Approximate Coulomb phase shifts - asymptotic series; 3.3.2 Some numerical results; 3.3.2.1 Coulomb phase shifts; 3.3.2.2 Coulomb wave functions; 3.3.3 Partial-wave expansion of (+) (k; r); 3.4 Coulomb plus short-range potentials; 3.4.1 An illustration: - scattering; Exercises; 4. Green's Functions, T- and S-Matrices 4.1 Lippmann-Schwinger equations4.1.1 The free particle Green's function; 4.1.2 The scattering amplitude; 4.1.3 Orthonormality relation for scattering states; 4.1.4 The Moller wave operators; 4.2 The transition and the scattering operators; 4.2.1 The Optical Theorem; 4.2.2 The S-matrix; 4.3 The time-dependent picture; 4.3.1 Time-dependent definition of the scattering operator; 4.3.2 Energy conservation; 4.3.3 Time-reversal; 4.4 Scattering from non-local separable potentials; 4.5 Scattering from the sum of two potentials; 4.5.1 The Gell-Mann Goldberger relations 4.5.2 The Distorted Wave series4.6 Partial-wave expansions; 4.6.1 Partial-wave projection of the S- and the T-matrices; 4.6.2 The partial-wave projected two-potential formula; 4.7 Long range potentials; 4.8 Evaluation of partial-wave Green's functions; 4.8.1 Free particle's Green's function; 4.8.2 Green's functions for an arbitrary potential; Exercises; 5. Approximate Methods in Potential Scattering; 5.1 Perturbative approximations; 5.1.1 The Born series; 5.1.1.1 Applications of the first Born approximation; 5.1.2 The Distorted Wave Born series; 5.1.2.1 Partial-wave projections 5.1.2.2 An illustrative application of the DWBA |
| Record Nr. | UNINA-9910817002003321 |
|
Canto Luiz Felipe
|
||
| New Jersey, : World Scientific, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||