Scattering theory. (2016)

• Record Type: Book
• Further Information: Note: Harald Friedrich.
• Authors: Friech, Harald
• Contents: Scattering Theory; Preface to the Second Edition; Preface to the First Edition; Contents; Chapter 1: Classical Scattering Theory; 1.1 Relative Motion of Projectile and Target; 1.2 De ection Function; 1.2.1 Kepler-Coulomb Potential; 1.2.2 Inverse-Power Potentials; 1.2.3 Lennard-Jones Potential; 1.3 Scattering Angle and Scattering Cross Sections; 1.3.1 Kepler-Coulomb Potential; 1.3.2 Inverse-Power Potentials; 1.3.3 Lennard-Jones Potential; 1.4 Classical Scattering in Two Spatial Dimensions; References; Chapter 2: Elastic Scattering by a Conservative Potential. 2.1 Scattering Amplitude and Scattering Cross Section2.2 Lippmann-Schwinger Equation and Born Approximation; 2.3 Radially Symmetric Potentials; 2.3.1 Angular Momentum; 2.3.2 Partial-Waves Expansion; 2.3.3 Scattering Phase Shifts; 2.3.4 Normalization of Radial Wave Functions; 2.3.5 Radial Lippmann-Schwinger Equation; 2.3.6 S-Matrix; 2.3.7 Determination of the Scattering Phase Shifts; 2.3.8 Near-Threshold Behaviour of the Scattering Phase Shifts; 2.3.9 Levinson's Theorem; 2.3.10 Potential Resonances (Shape Resonances); 2.3.10.1 Time Evolution of a Scattering Event. 2.3.10.2 Resonant Behaviour of Phase Shifts2.3.11 Scattering Cross Sections; 2.4 The WKB Approximation; 2.4.1 De nition and Accuracy of WKB Wave Functions; 2.4.2 Connection Across a Classical Turning Point; 2.4.3 WKB Phase Shifts; 2.5 Coulombic Potentials; 2.5.1 Pure Coulomb Potential; 2.5.2 Modi ed Coulomb Potential; General Considerations; 2.5.3 Modi ed Repulsive Coulomb Potential; 2.5.4 Modi ed Attractive Coulomb Potential, Quantum-Defect Theory; 2.6 Potentials Falling off as 1/r alpha, alpha>2; 2.6.1 Near-Threshold Behaviour of Scattering Phase Shifts; 2.6.2 The Special Case 2l + 3=alpha. 2.6.3 Modi ed Effective-Range Expansions2.6.4 Peripheral Scattering; 2.6.5 The Lennard-Jones Potential; 2.7 Potentials with Inverse-Square Tails; 2.7.1 Pure Inverse-Square Potential; 2.7.1.1 The ""Under-Critical"" Case; 2.7.1.2 The ""Over-Critically Attractive"" Case; 2.7.1.3 The ""Critically Attractive"" Case; 2.7.2 Modi ed Inverse-Square Potential; 2.7.2.1 The Under-Critical Case; 2.7.2.2 The Over-Critically Attractive Case; 2.7.2.3 The Critically Attractive Case; 2.7.3 Example: Inverse-Square Potential with Hard Sphere; 2.8 Nonvanishing Angular Momentum of Projectile and/or Target. 2.8.1 General Formalism for Treating Spins2.8.2 Spin-1/2 Projectile with Spin-Zero Target; 2.8.3 Application to Mixed Spin States; 2.9 When Projectile and Target Are Indistinguishable; 2.9.1 Spinless Bosons; 2.9.2 Spin-1/2 Fermions; References; Chapter 3: Internal Excitation, Inelastic Scattering; 3.1 Coupled-Channel Equations and Scattering Cross Sections; 3.2 Coupled-Channel Lippmann-Schwinger Equation and Born Approximation; 3.3 Radial Coupled-Channel Equations; 3.4 Absorption; 3.5 Feshbach Resonances; 3.5.1 Single Isolated Feshbach Resonance; 3.5.2 Interfering Resonances.
• Edition: Second edition
• Publisher Details: Heidelberg : Springer
• Publication Date: 2016
• Extent: 1 online resource
• Subjects: 539.7/58; 530; Scattering (Physics); SCIENCE -- Energy; SCIENCE -- Mechanics -- General; SCIENCE -- Physics -- General; Scattering (Physics); Electronic books
• Languages: English
• ISBNs: 9783662485262; 3662485265
• Related ISBNs: 9783662485248
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed February 8, 2016).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.