Robert Warnock

Robert L. Warnock, Visiting Physicist

General Member, Mathematical Sciences Research Institute,
Berkeley (Fall Semester, 1998)

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

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.