144 citations · 252 across the 12 of their papers we have counts for
13 papers
The necessity of wheels in universal quantization formulas
Giuseppe Dito
In the context of formal deformation quantization, we provide an elementary argument showing that any universal quantization formula necessarily involves graphs with wheels.
Quantum effects near future singularities
John D. Barrow, Antonio B. Batista, Giuseppe Dito +2
General relativity allows a variety of future singularities to occur in the evolution of the universe. At these future singularities, the universe will end in a singular state afte…
Sudden singularities survive massive quantum particle production
J. D. Barrow, A. B. Batista, G. Dito +2
We solve the Klein-Gordon equation for a massive, non-minimally coupled scalar field, with a conformal coupling, undergoing cosmological evolution from a radiation-dominated phase…
An algebra of deformation quantization for star-exponentials on complex symplectic manifolds
Giuseppe Dito, Pierre Schapira
The cotangent bundle to a complex manifold is classically endowed with the sheaf of $\cor$-algebras $\W[T^*X]$ of deformation quantization, where $\cor\eqdot \W[\rmptt]$…
The damped harmonic oscillator in deformation quantization
Giuseppe Dito, Francisco Turrubiates
We propose a new approach to the quantization of the damped harmonic oscillator in the framework of deformation quantization. The quantization is performed in the Schrödinger pictu…
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…