Vsevolod Adler
L.D. Landau Institute for Theoretical Physics of Russian Academy of Sciences
Publications:
|
Adler V. E., Veselov A. P.
Spinning Top in Quadratic Potential and Matrix Dressing Chain
2025, vol. 30, no. 4, pp. 464-480
Abstract
We show that the equations of motion of a rigid body about a fixed point in
the Newtonian field with a quadratic potential are special reduction of period-one closure of
the Darboux dressing chain for the Schrödinger operators with matrix potentials. Some new
explicit solutions of the corresponding matrix system and the spectral properties of the related
Schr¨odinger operators are discussed.
|