312 citations · 1.9k across the 37 of their papers we have counts for
37 papers
Cyclotron Beam Extraction by Acceleration
Christian Baumgarten
One of the decisive issues in the design and operation of cyclotrons is the choice of the beam extraction method. Typical methods are extraction by electrostatic extractors and by…
MinT: A Fast Lightweight Envelope/Monte-Carlo Beam Optics Code for the Proton Beamlines of the Paul Scherrer Institute
C. Baumgarten
We report about the methods used in, and the performance of, the new fast and light-weight linear beam transport program MinT. MinT provides, beyond the usual linear ion optics, me…
A Jacobi Algorithm in Phase Space: Diagonalizing (skew-) Hamiltonian and Symplectic Matrices with Dirac-Majorana Matrices
Christian Baumgarten
Jacobi's method is a well-known algorithm in linear algebra to diagonalize symmetric matrices by successive elementary rotations. We report about the generalization of these elemen…
The Vertical Logic of Hamiltonian Methods (Part 1)
C. Baumgarten
We discuss the key role that Hamiltonian notions play in physics. Five examples are given that illustrate the versatility and generality of Hamiltonian notions. The given examples…
A Two-Page "Derivation" of Schroedinger's Equation
C. Baumgarten
We give an exceptionally short derivation of Schroedinger's equation by replacing the idealization of a point particle by a density distribution.
Matching of turn pattern measurements for cyclotrons using multi-objective optimization
Matthias Frey, Jochem Snuverink, Christian Baumgarten +1
The usage of numerical models to study the evolution of particle beams is an essential step in the design process of particle accelerators However, uncertainties of input quantitie…