Buscar
Mostrando ítems 1-10 de 45
Moyal planes are spectral triples
(2004-04)
Axioms for nonunital spectral triples, extending those introduced in the unital case by Connes, are proposed. As a guide, and for the sake of their importance in noncommutative quantum field theory, the spaces R^2N endowed ...
From geometric quantization to Moyal quantization
(1995-06)
We show how the Moyal product of phase-space functions, and the Weyl correspondence between symbols and operator kernels, may be obtained directly using the procedures of geometric quantization, applied to the symplectic ...
Moyal quantization with compact symmetry groups and noncommutative harmonic analysis
(1990)
The phase-space approach to quantization of systems whose symmetry group is compact and semisimple is developed from two basic principles: covariance and traciality. This generalizes results and methods already implemented ...
Perturbative symplectic field theory and Wigner function
(Elsevier, 2009-09-15)
We study relativistic quantum field theories in phase space, based on representations of the Poincaré group, using the Moyal product. We develop a perturbative theory for quantizing fields, with functional methods in phase ...
The Stratonovich-Weyl correspondence: A general approach to Wigner functions
(1989)
A formalism is proposed for developing phase-space representations of
elementary quantum systems under general invariance groups. Several
examples are discussed, including the usual Weyl calculus, the Moyal
formulation ...
On asymptotic expansions of twisted products
(1989-12)
The series development of the quantum-mechanical twisted product is
studied. The series is shown to make sense as a moment asymptotic
expansion of the integral formula for the twisted product, either
pointwise or in the ...
Algebras of distributions suitable for phase‐space quantum mechanics. I
(1988-06-04)
The twisted product of functions on R^2N is extended to a *-algebra of
tempered distributions which contains the rapidly decreasing smooth
functions, the distributions of compact support, and all polynomials,
and moreover ...
Perturbative symplectic field theory and Wigner function
(Elsevier, 2009-09-15)
Symplectic Field Theories: Scalar and Spinor Representations
(Springer, 2018-03-01)
Using elements of symmetry, as gauge invariance, aspects of field theories represented in symplectic space are introduced and analyzed under physical bases. The states of a system are described by symplectic wave functions, ...