We examine the relationship between the mathematical structures of classical mechanics,
quantum mechanics, and special relativity, with a view toward building a consistent …

The end of the first half of the century coincided with a notable incision in the search for
fundamental laws. The breakthrough in the handling of quantum electrodynamics had …

The problems which arise for a relativistic quantum mechanics are reviewed and critically
examined in connection with the foundations of quantum field theory. The conflict between …

Phase space is the state space of classical mechanics, and this manifold is normally
endowed only with a symplectic form. The geometry of quantum mechanics is necessarily …

It is shown that the new interpretation of the scalar product in Hilbert space recently
proposed by Aharanov, Albert, and Au is in fact the one underlying the stochastic phase …

HERE I wish to point out several curious facts concerning the geometric properties of
classical and quantum phase space. The first remark is that there is a way to prolong a …

How do particles arise in quantum field theories? The concept of particles is examined, and
is related to specific forms for the interaction between the field and other localised forms of …

Deutsch and Hayden have proposed an alternative formulation of quantum mechanics
which is completely local. We argue that their proposal must be understood as having a form …

" There is the definite possibility that some future theory may be found which describes
nature more accurately than present theory, but for which the differentiable manifold picture …

Yo=(A2+ y2) 1! 2l, 1.> 0, and S is any space-or-lightlike submanifold of space-time R n+'.
The CT'S have natural symplectic structures covariant with respect to the Poincare group …