## Robert L. Warnock, Visiting PhysicistGeneral Member, Mathematical Sciences Research
Institute, E-mail: warnock@slac.stanford.edu Phone: (650) 926-2870 Group: ARDA |

## Education

B.A., Reed College, 1952; Fulbright Scholar, University of Amsterdam, 1952-53; Ph.D., Harvard University, 1959 (Thesis advisor: Julian Schwinger). ## Previous Appointments

Research Associate, Boston University and University of Washington (1959-1962); Physics Department, Illinois Institute of Technology (Asst. Prof. -> Prof., 1962-1979); Argonne National Laboratory (Asst. Physicist -> Assoc. Physicist, 1964-1971); Physicist, SLAC (1987-1995). ## Visiting Positions, Sabbatical Leaves, etc.

International Centre for Theoretical Physics, Trieste, Italy (1967); CERN (summers of 1968, 1970); University of London - Imperial College (1972); University of Bonn, Germany (1972); University of Groningen, Holland (1976); Lawrence Berkeley Laboratory (1978-1987). ## General research interests (1959-1985)

Theory of elementary particles, scattering theory, nonlinear mathematical physics, foundations of quantum theory. ## General research interests (1985-present)

Accelerator theory, nonlinear mechanics, electromagnetics, numerical analysis and scientific computation. ## Current research interests

- Nonlinear single-particle mechanics: Fast mapping with full-turn symplectic maps. Construction of quasi-invariants and their application in long-term bounds on the motion. Mechanisms determining the dynamic aperture. Applications to the LHC.
- Coherent Synchrotron Radiation: Single-pass radiation in bends and chicanes. Effect of shielding by vacuum chamber.
- Vlasov-Fokker-Planck equation applied to longitudinal motion in electron storage rings: Equilibrium solution, Haissinski equation. Study of full nonlinear system in the time domain with realistic wake field.
- Rigorous error bounds for numerical solution of differential equations.

*Comments to Joan Valine*