  Autoresonance laser acceleration of electrons is theoretically investigated
using circularly polarized focused Gaussian pulses. Many-particle simulations
demonstrate feasibility of creating over 10-GeV electron bunches of ultra-high
quality (relative energy spread of order 10^-4), suitable for fundamental
high-energy particle physics research. The laser peak intensities and axial
magnetic field strengths required are up to about 10^18 W/cm^2 (peak power ~10
PW) and 60 T, respectively. Gains exceeding 100 GeV are shown to be possible
when weakly focused pulses from a 200-PW laser facility are used.
