Excited States of Rotating Relativistic String with Massive Ends

For the relativistic string with massive ends arbitrary small disturbances of the uniform rotation of the rectilinear string are investigated. There are two classes of these oscillations with different spectra of frequencies. They are stationary waves oscillating in the rotational plane and in the orthogonal direction. These states are presented in the form of Fourier series that helps to quantize string excitations in the linear vicinity of the classical rotation. These string oscillations may be applied to describing daughter Regge trajectories in the framework of the considered model