  Time of arrival in quantum mechanics is discussed in two versions: the
classical axiomatic "time of arrival operator" introduced by J. Kijowski and
the EEQT method. It is suggested that for free particles the two methods may
lead to the same result. On the other hand the EEQT method can be easily
geometrized within the framework of Galilei-Newton general relativistic quantum
mechanics developed by M. Modugno and collaborators, and it can be applied to
non-free evolutions. The way of geometrization of irreversible quantum dynamics
based on dissipative Liouville equation is suggested.
