2013/05/04 by Walter Gessner, Gessner, Walter · 1 citation
Physics and Astronomy · #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.48550/arxiv.1305.0949
arxiv created 2015/11/09 · arxiv updated 2015/11/10
In the framework of any quantum theory in the Schroedinger picture a general operator time concept is given. For this purpose certain systems are emphasized as ideal quantum clocks. Their definition follows heuristically from a common property of ideal clocks and from general postulates of traditional quantum theory. Any such ideal quantum clock allows the definition of a symmetric time operator T. T and the Hamiltonian H necessarily satisfy the time-energy uncertainty relation. The argument of Pauli against the existence of any time operator does not strike, because T is symmetric but not selfadjoint.