85 citations · 93 across the 4 of their papers we have counts for
4 papers
On Quantum Integrable Systems
S. Nagaitsev, V. Danilov
Many quantum integrable systems are obtained using an accelerator physics technique known as Ermakov (or normalized variables) transformation. This technique was used to create cla…
Ring for test of nonlinear integrable optics
A. Valishev, S. Nagaitsev, V. Kashikhin +1
Nonlinear optics is a promising idea potentially opening the path towards achieving super high beam intensities in circular accelerators. Creation of a tune spread reaching 50% of…
On Quantum Integrable Systems
Viatcheslav Danilov, Sergei Nagaitsev
Many quantum integrable systems are obtained using an accelerator physics technique known as Ermakov (or normalized variables) transformation. This technique was used to create cla…
Nonlinear Accelerator Lattices with One and Two Analytic Invariants
V. Danilov, S. Nagaitsev
Integrable systems appeared in physics long ago at the onset of classical dynamics with examples being Kepler's and other famous problems. Unfortunately, the majority of nonlinear…