Geometric structure of the arrival time operator

Abstract

Uniqueness of the construction of the quantum arrival time operator, proposed by me in 1974, follows from the uniqueness of the "quantization through Lie derivative" which applies to any observable linear in momenta. Arguments given by Wolfgang Pauli against the "quantum time operator" are shown to be equivalent to the non-completeness of the constant vector field on the real half-line ℝ+.