• Miloslav Znojil

Articles written in Pramana – Journal of Physics

• Sturm–Schrödinger equations: Formula for metric

Sturm–Schrödinger equations $H\psi = EW\psi$ with $H \neq H^{\dagger}$ and $W \neq W^{\dagger} \neq I$ are considered, with a weak point of the theory lying in the purely numerical matrix- inversion form of the double-series definition of the necessary metric operator 𝛩 in the physical Hilbert space of states [M Znojil, J. Phys. A: Math. Theor. 41, 215304 (2008)]. This shortcoming is removed here via an amended, single-series definition of 𝛩.

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

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.

• # Pramana – Journal of Physics

Volume 96, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019