• Supersymmetric quantum mechanics living on topologically non-trivial Riemann surfaces

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/073/02/0397-0404

• # Keywords

Supersymmetry; Schrödinger equation; complexified coordinates.

• # Abstract

Supersymmetric quantum mechanics is constructed in a new non-Hermitian representation. Firstly, the map between the partner operators $H^{ (\pm)}$ is chosen antilinear. Secondly, both these components of a super-Hamiltonian $\mathcal{H}$ are defined along certain topologically non-trivial complex curves $r^{ (\pm)} (x)$ which spread over several Riemann sheets of the wave function. The non-uniqueness of our choice of the map $\mathcal{T}$ between `tobogganic' partner curves $r^{ (+)} (x)$ and r^{ (−)} (x)\$ is emphasized.

• # Author Affiliations

1. Nuclear Physics Institute ASCR, 250 68 Řež, Czech Republic
2. Departamento de Física, Universidad de Santiago de Chile, Casilla 307, Santiago 2, Chile

• # Pramana – Journal of Physics

Current Issue
Volume 92 | Issue 6
June 2019