Dynamical supersymmetric Dirac Hamiltonians

Conference · Wed Jan 01 04:00:00 EST 1986

DOI:https://doi.org/10.1007/978-1-4757-1472-2_14· OSTI ID:5629974

Ginocchio, J N

Using the language of quantum electrodynamics, the Dirac Hamiltonian of a neutral fermion interacting with a tensor field is examined. A supersymmetry found for a general Dirac Hamiltonian of this type is discussed, followed by consideration of the special case of a harmonic electric potential. The square of the Dirac Hamiltonian of a neutral fermion interacting via an anomalous magnetic moment in an electric potential is shown to be equivalent to a three-dimensional supersymmetric Schroedinger equation. It is found that for a potential that grows as a power of r, the lowest energy of the Hamiltonian equals the rest mass of the fermion, and the Dirac eigenfunction has only an upper component which is normalizable. It is also found that the higher energy states have upper and lower components which form a supersymmetric doublet. 15 refs. (LEW)

• Research Organization: Los Alamos National Lab., NM (USA)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 5629974
• Report Number(s): LA-UR-86-1448; CONF-8603115-1; ON: DE86010204
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIRAC OPERATORS
ELECTRIC POTENTIAL
FERMIONS
HAMILTONIANS
MASS
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
REST MASS
SUPERSYMMETRY
SYMMETRY