By Professor Helmut Wiedemann Dr. (auth.)

ISBN-10: 3540490434

ISBN-13: 9783540490432

ISBN-10: 3540490450

ISBN-13: 9783540490456

**Particle Accelerator Physics** is an in-depth and finished advent to the sector of high-energy particle acceleration and beam dynamics.

Part I gathers the fundamental instruments, recalling the necessities of electrostatics and electrodynamics in addition to of particle dynamics in electromagnetic fields.

Part II is an in depth primer in beam dynamics, partly III by way of the creation and outline of the most beam parameters. half IV is dedicated to the therapy of perturbations in beam dynamics. half V discusses the main points of charged particle accleration. half VI and half VII introduce the extra complicated issues of coupled beam dynamics and the outline of very excessive beams. half VIII is an exhaustive therapy of radiation from sped up fees and introduces vital resources of coherent radiation akin to synchrotrons and free-electron lasers. half IX collects the appendices amassing worthy mathematical and actual formulae, parameters and devices. strategies to many end-of-chapter difficulties are given.

This textbook is appropriate for a radical two-semester path beginning on the complex undergraduate point.

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**Extra resources for Particle Accelerator Physics**

**Example text**

5 Equation of Motion Accelerator physics is to a large extent the description of charged particle dynamics in the presence of external electromagnetic ﬁelds or of ﬁelds generated by other charged particles. We use the Lorentz force to formulate particle dynamics under the inﬂuence of electromagnetic ﬁelds. Whatever the interaction of charged particles with electromagnetic ﬁelds and whatever the reference system may be, we depend in accelerator physics on the invariance of the Lorentz force equation under coordinate transformations.

What are the lifetimes, if the pion kinetic energy is 20 MeV? And 100 MeV? A pion beam decays exponentially like e−t/τπ . At what distance from the source will the pion beam intensity have fallen to 50%, if the kinetic energy is 20 MeV? Or 100 MeV? 16. 23) for Z = 1 in terms of particle acceleration, velocity, and ﬁelds only. 28). 17 (S). A positron beam of energy E accelerated in the linac hits a ﬁxed hydrogen target. What is the available energy from a collision with a target electron assumed to be at rest?

We investigate, for example, the product of the momentum– energy cp∗x , cp∗y , cp∗z , iE ∗ = 0, 0, 0, imc2 and the diﬀerential space–time 4-vectors (dx∗ , dy ∗ , dz ∗ , icdτ ) in the particle rest frame and get 1 (dx∗ , dy ∗ , dz ∗ , icdτ ) cp∗x , cp∗y , cp∗z , iE ∗ = −mc2 dτ = −mc2 c 1 − β 2 dt . 69) This expression has the dimension of an energy and is Lorentz invariant. We consider therefore this as the Lagrangian for a particle at rest being observed from a relatively moving laboratory system L = −mc2 The conjugate momenta are Pi = Px = −m and the equation of motion 0 = ∂L ∂ q˙i 1 − β2.

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