Published March 22, 1984
| Version v1
Journal article
Supersymmetry of the Pauli equation in the presence of a magnetic monopole
Creators
- 1. Massachusetts Inst. of Tech., Cambridge (USA). Dept. of Physics
- 2. Massachusetts Inst. of Tech., Cambridge (USA). Lab. for Nuclear Science
- 3. Montreal Univ., Quebec (Canada). Lab. de Physique Nucleaire
Description
It is shown that the Pauli hamiltonian for a spin 1/2 particle in the presence of a Dirac magnetic monopole possesses a dynamical conformal OSp (1,1) supersymmetry. Using this symmetry, the spectrum is constructed explicitly, and all but the lowest angular momentum states transform under irreducible representations of the supergroup. The lowest angular momentum states transform under irreducible representations of the SO(2, 1)-subgroup of OSp(1,1) only, because the supercharges are not self-adjoint in that sector. (orig.)
Additional details
Publishing Information
- Journal Title
- Phys. Lett., B
- Journal Volume
- 137
- Journal Issue
- 1/2
- Series
- CODEN: PYLBA.;Phys. Lett., B.
- Journal Page Range
- 72-76
- ISSN
- 0370-2693
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- Netherlands
- INIS RN
- 15044792
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CONFORMAL GROUPS; CONFORMAL INVARIANCE; EIGENVALUES; ELECTROMAGNETIC FIELDS; ENERGY SPECTRA; GRADED LIE GROUPS; HAMILTONIANS; IRREDUCIBLE REPRESENTATIONS; MAGNETIC MONOPOLES; O GROUPS; SCHROEDINGER EQUATION; SO-2 GROUPS; SO-3 GROUPS; SP GROUPS; SUPERSYMMETRY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; DYNAMICAL GROUPS; ELEMENTARY PARTICLES; EQUATIONS; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL OPERATORS; MONOPOLES; PARTIAL DIFFERENTIAL EQUATIONS; POSTULATED PARTICLES; QUANTUM OPERATORS; SO GROUPS; SPECTRA; SYMMETRY; SYMMETRY GROUPS; WAVE EQUATIONS
Optional Information
- Contract/Grant/Project number
- Contract DEAC02-76ER03069