Classical and Quantum Dynamics of BPS Monopoles

Apr 28, 1986
42 pages
Published in:
  • Nucl.Phys.B 274 (1986) 183-224
  • Published: 1986
Report number:
  • DAMTP-86-1

Citations per year

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Abstract: (Elsevier)
The dynamics of two non-relativistic BPS monopoles is described using the Atiyah-Hitchin metric on the space of collective coordinates of the monopoles. M . Classical orbits correspond to geodesics on M . Quantum states are obtained by supposing the hamiltonian is proportional to the covariant laplacian on M . We analyse in detail the asymptotic equations describing monopoles whose separation is large compared with the individual monopole radii. These give a non-trivial generalization of the Coulomb problem and are exactly soluble both in the classical and quantum regime. A variety of scattering processes and bound states are described.
  • FIELD EQUATIONS: MONOPOLE
  • FIELD EQUATIONS: DYON
  • SCATTERING: MAGNETIC MONOPOLE
  • MAGNETIC MONOPOLE: SCATTERING
  • QUANTIZATION
  • GAUGE FIELD THEORY: SO(3)
  • SCHROEDINGER EQUATION
  • WAVE FUNCTION
  • BOUND STATE
  • ENERGY LEVELS