Exact Results in Quantum Theory

We will consider elliptic Gaudin-type model in an external magnetic field associated with non-skew-symmetric elliptic r-matrix. We will discuss a modified algebraic Bethe ansatz for the considered elliptic r-matrix and obtain the spectra of the corresponding Gaudin-type Hamiltonians in terms of solutions of modified Bethe equations. The applications of the obtained result to the diagonalization of the anisotropic quantum Euler top, quantum Zhukovsky-Volterra top, quantum Steklov and Rubanovsky tops will be given.