March 2022
A Comment on the "Photon position operator with commuting components" by Margaret Hawton
We show that the position operator with commuting components proposed by M. Hawton [M. Hawton, Phys. Rev. A {f 59}, 954 (1999)] and developed in subsequent papers does not have all of the properties required for a photon position operator. Depending on the exact interpretation of the results it either concerns a triplet of massless spin zero part...
November 2020
On the existence of the time operator in mathematical quantum theory
The purpose of this thesis is to answer the question about the existence of the time operator in mathematical quantum theory. The issues of time itself and, primarily, the time operator in non-relativistic and relativistic quantum mechanics are discussed.