FROM RELATIVISTIC VECTOR-MESONS IN CONSTANT MAGNETIC-FIELDS TO NONRELATIVISTIC (PSEUDO)SUPERSYMMETRIES

Results coming from the study of relativistic vector mesons interactin g with a constant magnetic field are examined through Johnson-Lippmann implications on one-dimensional oscillatorlike systems. We obtain spe cific nonrelativistic Hamiltonians showing new properties in quantum m echanics and leading to superpositions of bosons and pseudofermions. M oreover, two ''potentials'' are introduced and discussed in comparison with recent developments usually obtained in p = 2 parasupersymmetric quantum mechanics. Pseudofermions are also examined, particularly wit h respect to orthofermions.