Classical Mechanics and Electromagnetism in Accelerator Physics
This self-contained textbook with exercises discusses a broad range of selected topics from classical mechanics and electromagnetic theory that inform key issues related to modern accelerators. Part I presents fundamentals of the Lagrangian and Hamiltonian formalism for mechanical systems, canonical...
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| Hlavní autor: | |
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| Médium: | Elektronický zdroj E-kniha |
| Jazyk: | angličtina |
| Vydáno: |
Cham :
Springer International Publishing,
2018.
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| Vydání: | 1st ed. 2018. |
| Edice: | Graduate Texts in Physics,
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| Témata: | |
| ISBN: | 9783319901886 |
| ISSN: | 1868-4513 |
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Obsah:
- Preface
- Part I Classical Mechanics
- The Basic Formulation of Mechanics: Lagrangian and Hamiltonian Equations of Motion
- Canonical Transformations
- Action-angle Variables and Liouville's Theorem
- Linear and Non-Linear Oscillations
- Coordinate System and Hamiltonian for a Circular Accelerator
- Equations of Motion in Accelerators
- Action-Angle Variables for Betatron Oscillations
- Magnetic Field and Energy Errors
- Non-Linear Resonance and Resonance Overlapping
- The Kinetic Equation
- Part II Electricity and Magnetism
- Self Field of a Relativistic Beam
- Effect of Environment on Electromagnetic Field of a Beam
- Plane Electromagnetic Waves and Gaussian Beams
- Waveguides and RF Cavities
- Radiation and Retarded Potentials
- Dipole Radiation and Scattering of Electromagnetic Waves
- Transition and Diffraction Radiation
- Synchrotron Radiation
- Undulator radiation
- Formation Length of Radiation and Coherent Effects
- Topics in Laser-Driven Acceleration
- Radiation Damping Effects
- Part III End Matter
- Appendix A: Maxwell's Equations, equations of motion, and energy balance in an electromagnetic field
- Appendix B: Lorentz transformations and the relativistic Doppler effect
- Index.