Single-Particle Quantum Dynamics in a Magnetic Lattice
We study the quantum dynamics of a spinless charged-particle propagating through a magnetic lattice in a transport line or storage ring. Starting from the Klein-Gordon equation and by applying the paraxial approximation, we derive a Schroedinger-like equation for the betatron motion. A suitable unitary transformation reduces the problem to that of a simple harmonic oscillator. As a result we are able to find an explicit expression for the particle wavefunction.
- Research Organization:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC03-76SF00515
- OSTI ID:
- 784871
- Report Number(s):
- SLAC-PUB-8764; TRN: US0108654
- Resource Relation:
- Other Information: PBD: 1 Feb 2001
- Country of Publication:
- United States
- Language:
- English
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