ИСТИНА

The problem of canonical quantization of spinor and electromagnetic fields in the Schwarzschild spacetime is discussed. It is shown that a consistent procedure of canonical quantization of these fields can be carried out without taking into account the internal region of the black hole. We prove that for electromagnetic field there exists a unitary gauge, which can be viewed as a combination of the Coulomb and Poincare gauges and is compatible with the field equations. The solutions corresponding to the stationary one-particle states of the spinor and electromagnetic fields are studied, the canonical commutation relations and the Hamiltonians of these fields are obtained. The calculation of the matrix elements of electromagnetic transitions between energy levels of charged fermions in the Schwarzschild spacetime is discussed.