4 papers · 1 filter
Deformation quantization on a Hilbert space
Giuseppe Dito
We study deformation quantization on an infinite-dimensional Hilbert space endowed with its canonical Poisson structure. The standard example of the Moyal star-product is made…
Deformation quantization of covariant fields
Giuseppe Dito
After sketching recent advances and subtleties in classical relativistically covariant field theories, we give in this short Note some indications as to how the deformation quantiz…
Deformation Quantization: Genesis, Developments and Metamorphoses
Giuseppe Dito, Daniel Sternheimer
We start with a short exposition of developments in physics and mathematics that preceded, formed the basis for, or accompanied, the birth of deformation quantization in the sevent…
Kontsevich star-product on the dual of a Lie algebra
Giuseppe Dito
We show that on the dual of a Lie algebra $\g$ of dimension , the star-product recently introduced by M. Kontsevich is equivalent to the Gutt star-product on $\g^\ast$. We give…