2002/01/09 by Miloslav Znojil 路 3 citations
Physics and Astronomy 路 #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Topological Materials and Phenomena #hep-th
paper 路 pdf 路 doi:10.1088/0305-4470/35/9/320
published as J.Phys.A35:2341-2352,2002 路 24 pages incl. 5 tables and 1 figure
arxiv created 2002/01/09 路 openalex publication_date 2002/02/25 路 arxiv updated 2009/11/30 路 openalex created_date 2016/06/24 路 openalex updated_date 2026/07/30
Hermitian supersymmetric partnership between singular potentials V ( q ) = q 2 + G / q 2 breaks down and can only be restored on certain ad hoc subspaces (Das A and Pernice S 1999 Nucl. Phys. B 561 357). We show that within extended, -symmetric quantum mechanics, the supersymmetry between singular oscillators can be completely re-established in a way which is continuous near G = 0 and leads to a new form of the bosonic creation and annihilation operators.