Bulgarian Journal of Physics

Bulgarian Journal of Physics

Print: 1310-0157 Online: 1314-2666

RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY APPROVED BY THE EUROPEAN COMMISSION

Bulg. J. Phys. vol.33 no.3 (2006), pp. 206-216

Algebraic Solution of the Supersymmetric Hydrogen Atom

A. Wipf¹, A. Kirchberg², D. Länge³
¹FS-Univ. Jena, Max-Wien-Platz 1, Theor. Phys. Institut, D-07743 Jena
²Reichenberger Straße 9, 01129 Dresden
³LM-Univ. München, Sektion Physik, Theresienstr. 37, D-80333 München

Abstract. The N=2 supersymmetric extension of the Schrödinger-Hamilton}ian with 1/r-potential in d dimension is constructed. The system admits a supersymmetrized Laplace-Runge-Lenz vector which extends the rotational SO(d) symmetry to a hidden SO(d+1) symmetry. It is used to determine the discrete eigenvalues with their degeneracies and the corresponding bound state wave functions.

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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY APPROVED BY THE EUROPEAN COMMISSION

2-8 July 2023 The International Workshop on Nuclear Theory (IWNT) is annually organized since 1980 by the Nuclear Theory Laboratory (NTL) of the Institute for Nuclear Research and Nuclear Energy of the Bulgarian Academy of Sciences. Proceedings of the Workshop will be published.

Bulg. J. Phys. vol.33 no.3 (2006), pp. 206-216

Algebraic Solution of the Supersymmetric Hydrogen Atom

Full-text: PDF

2-8 July 2023
The International Workshop on Nuclear Theory (IWNT) is annually organized since 1980 by the Nuclear Theory Laboratory (NTL) of the Institute for Nuclear Research and Nuclear Energy of the Bulgarian Academy of Sciences. Proceedings of the Workshop will be published.