Contemporary accelerator physics

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500 |a 1. Hamiltonian formulation of single particle dynamics. 1.1. Introduction. 1.2. Hamiltonian formalism. 1.3. Canonical transformations. 1.4. Electric and magnetic fields. 1.5. Synchro-Betatron formalism in beam dynamics -- 2. Linear betatron motion. 2.1. Introduction. 2.2. The transfer matrix. 2.3. Hill's equation and Floquet's theorem. 2.4. Twiss parameters and courant-snyder invariant. 2.5. Action-angle variables and beam emittance. 2.6. Adiabatic damping of betatron oscillations -- 3. Nonlinear resonances of betatron oscillations. 3.1. Introduction. 3.2. General description and basic properties of a nonlinear resonance. 3.3. The method of effective potential. 3.4. Stability analysis of third and fourth order resonances. 3.5. The method of successive linearization. 3.6. Adiabatic crossing of a nonlinear resonance. 3.7. Periodic crossing of a nonlinear resonance -- 4. Canonical perturbation theory. 4.1. Introduction. 4.2. Classical perturbation theory. 4.3. Effect of linear and nonlinear perturbations in one dimension. 4.4. Secular perturbation theory. 4.5. The method of formal series. 4.6. Renormalization transformation for two resonances -- 5. Special methods in accelerator theory. 5.1. Introduction. 5.2. Renormalization group method. 5.3. The method of multiple scales. 5.4. Renormalization group analysis of Hill's equation. 5.5. Renormalization group reduction of nonlinear resonances. 5.6. Reduction of nonlinear resonances using the method of multiple scales. 5.7. Renormalization group reduction of Hamilton's equations of motion -- 6. Transfer maps. 6.1. Introduction. 6.2. Nonlinear transfer maps of betatron motion. 6.3. Linear transfer maps. 6.4. The Henon map. 6.5. Resonance structure of the Henon map. 6.6. Renormalization group reduction of a generic transfer map. 6.7. The standard Chirikov-Taylor map 
500 |a 7. Statistical description of charged particle beams. 7.1. Introduction. 7.2. The Liouville theorem and the Liouville equation. 7.3. Ensemble of identical macroscopic systems. 7.4. The method of microscopic phase space density. 7.5. The equation for the microscopic phase space density with a small source. 7.6. The generalized kinetic equation. 7.7. The Balescu-Lenard kinetic equation. 7.8. The Landau kinetic equation. 7.9. The approximate collision integral and the generalized kinetic equation -- 8. Statistical description of non integrable Hamiltonian systems. 8.1. Introduction. 8.2. Projection operator method. 8.3. Renormalization group reduction of the Liouville equation. 8.4. Modulational diffusion. 8.5. The Liouville operator and the Frobenius-Perron operator -- 9. The Vlasov equation. 9.1. Introduction. 9.2. The Vlasov equation for collisionless beams. 9.3. The Hamiltonian formalism for solving the Vlasov equation. 9.4. Propagation of an intense beam through a periodic focusing lattice. 9.5. Propagation of an intense beam with a uniform phase-space density. 9.6. Dynamical equations for the beam envelope and for the mean emittance. 9.7. Solution of the equations for the boundary curves. 9.8. Description of beam dynamics in terms of Lagrangian variables. 9.9. Landau damping -- 10. Nonlinear waves and turbulence in intense beams. 10.1. Introduction. 10.2. Renormalization group reduction of the hydrodynamic equations. 10.3. The Parametric wave-particle resonance. 10.4. The nonlinear Schrodinger equation for a single mode. 10.5. Nonlinear damped waves in intense beams. 10.6. Fluctuation spectrum and turbulence 
500 |a This book adopts a non-traditional approach to accelerator theory. The exposition starts with the synchro-betatron formalism and continues with the linear and nonlinear theories of transverse betatron motion. Various methods of studying nonlinear dynamical systems (the canonical theory of perturbations and the methods of multiple scales and formal series) are explained through examples. The renormalization group approach to studying nonlinear (continuous and discrete) dynamical systems as applied to accelerators and storage rings is used throughout the book. The statistical description of charged particle beams (the Balescu-Lenard and Landau kinetic equations as well as the Vlasov equation) is dealt with in the second part of the book. The processes of pattern formation and formation of coherent structures (solitons) are also described 
650 4 |a Accélérateurs de particules 
650 4 |a Particules (Physique nucléaire) 
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650 4 |a Solitons 
650 7 |a SCIENCE / Physics / Nuclear  |2 bisacsh 
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650 7 |a Betatrons  |2 fast 
650 7 |a Particle accelerators  |2 fast 
650 7 |a Particles (Nuclear physics)  |2 fast 
650 7 |a Solitons  |2 fast 
650 4 |a Particle accelerators 
650 4 |a Particles (Nuclear physics) 
650 4 |a Betatron oscillations 
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Datensatz im Suchindex

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author Tzenov, Stephan I.
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dewey-ones 539 - Modern physics
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dewey-search 539.7/3
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dewey-tens 530 - Physics
discipline Physik
format Electronic
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id DE-604.BV043106100
illustrated Not Illustrated
indexdate 2024-12-24T04:41:57Z
institution BVB
isbn 1281934623
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9812389008
9812794735
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physical 1 Online-Ressource (xi, 310 pages)
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publishDate 2004
publishDateSearch 2004
publishDateSort 2004
publisher World Scientific
record_format marc
spelling Tzenov, Stephan I. Verfasser aut
Contemporary accelerator physics Stephan I Tzenov
Accelerator physics
Singapore World Scientific ©2004
1 Online-Ressource (xi, 310 pages)
txt rdacontent
c rdamedia
cr rdacarrier
Includes bibliographical references (pages 301-305) and index
1. Hamiltonian formulation of single particle dynamics. 1.1. Introduction. 1.2. Hamiltonian formalism. 1.3. Canonical transformations. 1.4. Electric and magnetic fields. 1.5. Synchro-Betatron formalism in beam dynamics -- 2. Linear betatron motion. 2.1. Introduction. 2.2. The transfer matrix. 2.3. Hill's equation and Floquet's theorem. 2.4. Twiss parameters and courant-snyder invariant. 2.5. Action-angle variables and beam emittance. 2.6. Adiabatic damping of betatron oscillations -- 3. Nonlinear resonances of betatron oscillations. 3.1. Introduction. 3.2. General description and basic properties of a nonlinear resonance. 3.3. The method of effective potential. 3.4. Stability analysis of third and fourth order resonances. 3.5. The method of successive linearization. 3.6. Adiabatic crossing of a nonlinear resonance. 3.7. Periodic crossing of a nonlinear resonance -- 4. Canonical perturbation theory. 4.1. Introduction. 4.2. Classical perturbation theory. 4.3. Effect of linear and nonlinear perturbations in one dimension. 4.4. Secular perturbation theory. 4.5. The method of formal series. 4.6. Renormalization transformation for two resonances -- 5. Special methods in accelerator theory. 5.1. Introduction. 5.2. Renormalization group method. 5.3. The method of multiple scales. 5.4. Renormalization group analysis of Hill's equation. 5.5. Renormalization group reduction of nonlinear resonances. 5.6. Reduction of nonlinear resonances using the method of multiple scales. 5.7. Renormalization group reduction of Hamilton's equations of motion -- 6. Transfer maps. 6.1. Introduction. 6.2. Nonlinear transfer maps of betatron motion. 6.3. Linear transfer maps. 6.4. The Henon map. 6.5. Resonance structure of the Henon map. 6.6. Renormalization group reduction of a generic transfer map. 6.7. The standard Chirikov-Taylor map
7. Statistical description of charged particle beams. 7.1. Introduction. 7.2. The Liouville theorem and the Liouville equation. 7.3. Ensemble of identical macroscopic systems. 7.4. The method of microscopic phase space density. 7.5. The equation for the microscopic phase space density with a small source. 7.6. The generalized kinetic equation. 7.7. The Balescu-Lenard kinetic equation. 7.8. The Landau kinetic equation. 7.9. The approximate collision integral and the generalized kinetic equation -- 8. Statistical description of non integrable Hamiltonian systems. 8.1. Introduction. 8.2. Projection operator method. 8.3. Renormalization group reduction of the Liouville equation. 8.4. Modulational diffusion. 8.5. The Liouville operator and the Frobenius-Perron operator -- 9. The Vlasov equation. 9.1. Introduction. 9.2. The Vlasov equation for collisionless beams. 9.3. The Hamiltonian formalism for solving the Vlasov equation. 9.4. Propagation of an intense beam through a periodic focusing lattice. 9.5. Propagation of an intense beam with a uniform phase-space density. 9.6. Dynamical equations for the beam envelope and for the mean emittance. 9.7. Solution of the equations for the boundary curves. 9.8. Description of beam dynamics in terms of Lagrangian variables. 9.9. Landau damping -- 10. Nonlinear waves and turbulence in intense beams. 10.1. Introduction. 10.2. Renormalization group reduction of the hydrodynamic equations. 10.3. The Parametric wave-particle resonance. 10.4. The nonlinear Schrodinger equation for a single mode. 10.5. Nonlinear damped waves in intense beams. 10.6. Fluctuation spectrum and turbulence
This book adopts a non-traditional approach to accelerator theory. The exposition starts with the synchro-betatron formalism and continues with the linear and nonlinear theories of transverse betatron motion. Various methods of studying nonlinear dynamical systems (the canonical theory of perturbations and the methods of multiple scales and formal series) are explained through examples. The renormalization group approach to studying nonlinear (continuous and discrete) dynamical systems as applied to accelerators and storage rings is used throughout the book. The statistical description of charged particle beams (the Balescu-Lenard and Landau kinetic equations as well as the Vlasov equation) is dealt with in the second part of the book. The processes of pattern formation and formation of coherent structures (solitons) are also described
Accélérateurs de particules
Particules (Physique nucléaire)
Bêtatrons
Solitons
SCIENCE / Physics / Nuclear bisacsh
Betatron oscillations fast
Betatrons fast
Particle accelerators fast
Particles (Nuclear physics) fast
Solitons fast
Particle accelerators
Particles (Nuclear physics)
Betatron oscillations
Betatrons
Teilchenbeschleuniger (DE-588)4059318-6 gnd rswk-swf
Teilchenbeschleunigung (DE-588)4184611-4 gnd rswk-swf
Teilchenbeschleuniger (DE-588)4059318-6 s
Teilchenbeschleunigung (DE-588)4184611-4 s
DE-604
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=235571 Aggregator Volltext
spellingShingle Tzenov, Stephan I.
Contemporary accelerator physics
Accélérateurs de particules
Particules (Physique nucléaire)
Bêtatrons
Solitons
SCIENCE / Physics / Nuclear bisacsh
Betatron oscillations fast
Betatrons fast
Particle accelerators fast
Particles (Nuclear physics) fast
Solitons fast
Particle accelerators
Particles (Nuclear physics)
Betatron oscillations
Betatrons
Teilchenbeschleuniger (DE-588)4059318-6 gnd
Teilchenbeschleunigung (DE-588)4184611-4 gnd
subject_GND (DE-588)4059318-6
(DE-588)4184611-4
title Contemporary accelerator physics
title_alt Accelerator physics
title_auth Contemporary accelerator physics
title_exact_search Contemporary accelerator physics
title_full Contemporary accelerator physics Stephan I Tzenov
title_fullStr Contemporary accelerator physics Stephan I Tzenov
title_full_unstemmed Contemporary accelerator physics Stephan I Tzenov
title_short Contemporary accelerator physics
title_sort contemporary accelerator physics
topic Accélérateurs de particules
Particules (Physique nucléaire)
Bêtatrons
Solitons
SCIENCE / Physics / Nuclear bisacsh
Betatron oscillations fast
Betatrons fast
Particle accelerators fast
Particles (Nuclear physics) fast
Solitons fast
Particle accelerators
Particles (Nuclear physics)
Betatron oscillations
Betatrons
Teilchenbeschleuniger (DE-588)4059318-6 gnd
Teilchenbeschleunigung (DE-588)4184611-4 gnd
topic_facet Accélérateurs de particules
Particules (Physique nucléaire)
Bêtatrons
Solitons
SCIENCE / Physics / Nuclear
Betatron oscillations
Betatrons
Particle accelerators
Particles (Nuclear physics)
Teilchenbeschleuniger
Teilchenbeschleunigung
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work_keys_str_mv AT tzenovstephani contemporaryacceleratorphysics
AT tzenovstephani acceleratorphysics