  In this work we compare the quantization of a massless scalar field in an
inertial frame with the quantization in a rotating frame. We used the
Trocheries-Takeno mapping to relate measurements in the inertial and the
rotating frames. An exact solution of the Klein-Gordon equation in the rotating
coordinate system is found and the Bogolubov transformation between the
inertial and rotating modes is calculated, showing that the rotating observer
defines a vacuum state different from the Minkowski one. We also obtain the
response function of an Unruh-De Witt detector coupled with the scalar field
travelling in a uniformly rotating world-line. The response function is
obtained for two different situations: when the quantum field is prepared in
the usual Minkowski vacuum state and when it is prepared in the
Trocheries-Takeno vacuum state. We also consider the case of an inertial
detector interacting with the field in the rotating vacuum.
