Classical and Quantum Dynamics of BPS Monopoles
Apr 28, 198642 pages
Published in:
- Nucl.Phys.B 274 (1986) 183-224
- Published: 1986
Report number:
- DAMTP-86-1
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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
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