THE author says in his preface that the book “may be supposed to represent the notes, somewhat expanded, which the teacher would desire the class to take down and learn.” If so, the “notes”before us… Expand

For quantum systems of finitely many particles as well as for boson quantum field theories, the classical limit of the expectation values of products of Weyl operators, translated in time by the… Expand

This paper tests the hypothesis that SC activity is influenced by eye position, by recording from presaccadic burst neurons while monkeys made rapid eye movements in the light covering a large part of the oculomotor range, and concludes that the SC has access to a signal related to the position of the eyes in the orbit.Expand

A new proof is given that the subtraction rules ofBogoliubov andParasiuk lead to well-defined renormalized Green's distributions. A collection of the counter-terms in “trees” removes the difficulties… Expand

AbstractFor classicalN-particle systems with pair interactionN−1
$$\mathop \Sigma \limits_{1 \leqq i \leqq j \leqq N} $$
ø(qi−qi) the Vlasov dynamics is shown to be thew*-limit asN→∞. Propagation of… Expand

Listing's law states that visual directions of sight are related to rotations of the eye so that all rotation axes lie in a plane. The geometry ofSO(3) indicates several plausible algorithms how the… Expand

This article reviews (I) Philosophy of Mathematics and Natural Science Hermann Weyl. 336 pp. , Princeton, NJ, 2009. Price: $35.00(paper). ISBN 978-0-691-14120-6.

The thermodynamic properties of several systems of multilevel atoms interacting with a quantized radiation field are investigated. We allow a quantum-mechanical treatment of the translational degrees… Expand