304 citations · 948 across the 35 of their papers we have counts for
35 papers
Algebraic structure behind Odrzywołek's EML operator
Tomasz Stachowiak
The binary EML operator yields all (transcendental) elementary functions by recursive application, or a binary tree. The structure of the operator itself carries two distinct ingre…
Irrational Acceleration of a Continued Fraction of
Tomasz Stachowiak
An application of (iterated) Bauer-Muir acceleration can give an Apéry-like continued fraction for with irrational coefficients, and much faster convergence. It can be consider…
Political Stress Index of Poland
Tomasz Stachowiak, Zbigniew Pasek
We apply the political stress index as introduced by Goldstone (1991) and implemented by Turchin (2013), to the case study of Poland. The approach quantifies political and social u…
Non-integrability of the Kepler and the two-body problem on the Heisenberg group
Tomasz Stachowiak, Andrzej J. Maciejewski
The analog of the Kepler system defined on the Heisenberg group introduced by Montgomery and Shanbrom in [Fields Inst. Commun., Vol. 73, Springer, New York, 2015, 319-342, arXiv:12…
A novel approach to the spectral problem in the two photon Rabi model
Andrzej J. Maciejewski, Tomasz Stachowiak
We explore the spectral problem of the two photon Rabi model from the point of view of complex differential equations in the Bargmann representation. The wave-functions are automat…
Level crossings and new exact solutions of the two-photon Rabi model
Andrzej J. Maciejewski, Tomasz Stachowiak
An infinite family of exact solutions of the two-photon Rabi model was found by investigating the differential algebraic properties of the Hamiltonian. This family corresponds to e…