  A time of arrival (TOA) operator that is conjugate with the system
Hamiltonian was constructed by Galapon without canonical quantization in [J.
Math. Phys. \textbf{45}, 3180 (2004)]. The constructed operator was expressed
as an infinite series but only the leading term was investigated which was
shown to be equal to the Weyl-quantized TOA-operator for entire analytic
potentials. In this paper, we give a full account of the said TOA-operator by
explicitly solving all the terms in the expansion. We interpret the terms
beyond the leading term as the quantum corrections to the Weyl quantization of
the classical arrival time. These quantum corrections are expressed as some
integrals of the interaction potential and their properties are investigated in
detail. In particular, the quantum corrections always vanish for linear systems
but nonvanishing for nonlinear systems. Finally, we consider the case of an
anharmonic oscillator potential as an example.
