268 citations · 1.7k across the 77 of their papers we have counts for
4 papers · 1 filter
Trigonometric version of quantum-classical duality in integrable systems
M. Beketov, A. Liashyk, A. Zabrodin +1
We extend the quantum-classical duality to the trigonometric (hyperbolic) case. The duality establishes an explicit relationship between the classical N-body trigonometric Ruijsena…
Theta vocabulary II. Multidimensional case
S. Kharchev, A. Zabrodin
It is shown that the Jacobi and Riemann identities of degree four for the multidimensional theta functions as well as the Weierstrass identities emerge as algebraic consequences of…
Formal solution to the KP hierarchy
S. Natanzon, A. Zabrodin
We find all formal solutions to the -dependent KP hierarchy. They are characterized by certain Cauchy-like data. The solutions are found in the form of formal series for the…
Theta vocabulary I
S. Kharchev, A. Zabrodin
This paper is an annotated list of transformation properties and identities satisfied by the four theta functions , , , of one complex variable, presented in a…