Leonard Euler: addition theorems and superintegrable systems
A V Tsiganov
TL;DR
This paper explores Euler's methods for constructing superintegrable systems using addition theorems, reconstructs classical Drach systems, and introduces new two-dimensional superintegrable Stackel systems.
Contribution
It applies Euler's approach to superintegrable systems, reconstructs classical Drach systems, and presents new Stackel systems with superintegrability.
Findings
Reconstructed classical Drach systems.
Developed new two-dimensional superintegrable Stackel systems.
Demonstrated the role of addition theorems in superintegrability.
Abstract
We consider the Euler approach to construction and to investigation of the superintegrable systems related to the addition theorems. As an example we reconstruct Drach systems and get some new two-dimensional superintegrable Stackel systems.
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