Original scientific paper

Supersymmetric extension of a central potential

Mladen Martinis ; Ruđer Bošković Institute, 41001 Zagreb, P. 0. B. 1016, Croatia, Yugoslavia
Vesna Mikuta-Martinis ; Ruđer Bošković Institute, 41001 Zagreb, P. 0. B. 1016, Croatia, Yugoslavia

Abstract

We extend the investigation of the supersymmetric hydrogen atom, to the case of a central potential using the factorisation property of a three-dimensional one particle Hamiltonian H(0). By introducing the „spin“ operator into the space of fermions, we show that the total angular momentum operators, Jk = Lk + Sk and S2, commute with the supersymmetric Hamiltonian and can be used to classify its eigenstates. We also show that the matrix Hamiltonians H(1) and H(2) can be written in the form which exhibits the structure corresponding to the motion of two spin 1/2 particles in central and tensor potentials. The relative strength between the potentials is fixed by supersymmetry.

Keywords

Hrčak ID:

331714

URI

https://hrcak.srce.hr/331714

Publication date:

6.8.1989.

Article data in other languages: croatian

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