"Quantization" of higher hamiltonian analogues of the Painleve I and Painleve II equations with two degrees of freedom

Bulat Suleimanov

We construct a solution of an analog of the Schrödinger equation for the Hamiltonian $H_I(z,t,q_1,q_2,p_1,p_2)$ corresponding to the second equation $P_1^2$ in the Painleve…