...Theory
This paper is dedicated to Klaus Hepp and to Walter Hunziker on the occasion of their sixtieth anniversary
...Blanchard
e-mail: blanchard@physik.uni-bielefeld.de
...Jadczyk
e-mail: ajad@ift.uni.wroc.pl
...this:
We use the method chosen by Galileo in his great book "Dialogues Concerning Two New Sciences"[1]. Galileo is often refered to as the founder of modern physics. The most far--reaching of his achievements was his counsel's speech for mathematical rationalism against Aristotle's logico--verbal approach, and his insistence for combining mathematical analysis with experimentation.
In the dialog SG=Sagredo, SV=Salviati, SP=Simplicio
...EEQT
Salviatti refers here to "Event Enhanced Quantum Theory" of reference [6] - paper apparently well know to the participants of the dialog.
...event.
Heisenberg proposed the word "event" to replace the word "measurement", the latter word carrying a suggestion of human involvement.
...time.
Cf. an illuminating discussion of this point in [15,16].
....
More generally we would need two Hilbert spaces: 21#21 and 22#22 that can be different, but for the present discussion we need not be pedantic, so we will assume them to be identified.
...non-unitary
Known in the literature also under the name of "non-hermitian"
...follows.
A mathematical theory of a counter that leads to an inhomogeneous Poisson process, starting from formal postulates that are different than ours was given almost fifty years ago by Res Jost [21] .
...let
From this time on the subscript 113#113 may refer to either the initial state, as in 114#114 or to free evolution, as in 115#115, or to initial state evolving under free evolution. In case of confusion the actual meaning should be derived from the context.
...a.
The case of Hermitian singular delta--function perturbation was discussed by many authors - see [23,24,25,26,27,28,29] and references therein
...dimensionless,
We should have 192#192
...nonlinearity.
This is why our time observable does not fall into the family analysed axiomatically by Kijowski [37].
...C.
More comments in this direction can be found in [6] and also under WWW address of the Quantum Future Project: http://www.ift.uni.wroc. pl/ 221#221ajad/qf.htm

Arkadiusz Jadczyk
Thu Feb 22 09:58:31 MET 1996