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 …

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 …

Quantum mechanics owes much to the development and presence of the extensive existing
theoretical framework which has been created for classical mechanics (Abraham and …

Quantization of a general canonically formulated classical theory is expressed in a
geometric fashion utilizing the symplectic structure of phase space augmented by one of …

The aim of this talk is to outline a geometric point of view on quantum field theory. It is not at
all obvious that such a viewpoint is appropriate for the subject. After all, the most …

In an earlier paper [l] we presented a set of axioms concerning the concept of wave equation
for a dynamical system G with finitely many degrees of freedom, and it was shown there that …

Quantum mechanics is formulated on the true space of physical states—the projective
Hilbert space. It is found that the postulates of quantum mechanics assume an intrinsically …

We propose to attempt, in this note and others to follow, an approach to the program
advocated by W~ EL~ R in his (~ Frontiers of Time,) and other papers (1). We shall begin by …

Si mette in evidenza un'analogia strutturale fra lo spazio delle fasi della meccanica classica
e lo spazio proiettivo hilbertiano della meccanica quantistica, analogia che consente di …

In this monograph, we shall present a new mathematical formulation of quantum theory,
clarify a number of discrepancies within the prior formulation of quantum theory, give new …