7 citations · 8 across the 3 of their papers we have counts for
4 papers
A Unified View on Geometric Phases and Exceptional Points in Adiabatic Quantum Mechanics
Eric J. Pap, Daniël Boer, Holger Waalkens
We present a formal geometric framework for the study of adiabatic quantum mechanics for arbitrary finite-dimensional non-degenerate Hamiltonians. This framework generalizes earlie…
Frames of group-sets and their application in bundle theory
Eric J. Pap, Holger Waalkens
We study fiber bundles where the fibers are not a group , but a free -space with disjoint orbits. These bundles closely resemble principal bundles, hence we call them semi-pr…
Comment on 'Winding around non-Hermitian singularities' by Zhong et al., Nat. Commun. 9, 4808 (2018)
Eric J. Pap, Daniël Boer, Holger Waalkens
In a recent paper entitled "Winding around non-Hermitian singularities" by Zhong et al., published in Nat. Commun. 9, 4808 (2018), a formalism is proposed for calculating the permu…
Non-abelian nature of systems with multiple exceptional points
Eric J. Pap, Daniël Boer, Holger Waalkens
The defining characteristic of an exceptional point (EP) in the parameter space of a family of operators is that upon encircling the EP eigenstates are permuted. In case one encirc…