In contrast to classical theory, quantum theory has the remarkable property that the state space of every system has continuously many pure states. These are states that can be seen as states of ...

We first argue that there are important reasons for extending classical measure theory. We then define this extended theory and give examples of new phenomena that it describes. The basic structure of ...

Analysis suggests that the two pioneers of quantum mechanics, Niels Bohr and John von Neumann, may have had more similar views than previously thought regarding the nature of quantum systems, and the ...