Now showing items 1-10 of 14
Stora's fine notion of divergent amplitudes
Stora and coworkers refined the notion of divergent quantum amplitude, somewhat upsetting the standard power-counting recipe. This unexpectedly clears the way to new prototypes for free and interacting field theories of ...
The chirality theorem
We show how chirality of the weak interactions stems from string independence in the string-local formalism of quantum field theory.
The Kirillov picture for the Wigner particle
We discuss the Kirillov method for massless Wigner particles, usually (mis)named "continuous spin" or "infinite spin" particles. These appear in Wigner's classification of the unitary representations of the Poincaré group, ...
Correction to: The chirality theorem
The Wigner transformation is of finite order
The Wigner integral transformation, which intertwines the twisted product and the composition of kernels, is of order 24. Indeed, it commutes with, and its sixth power equals, the Fourier cotransformation.
Algebras of distributions suitable for phase‐space quantum mechanics. II. Topologies on the Moyal algebra
The topology of the Moyal *-algebra may be defined in three ways: the algebra may be regarded as an operator algebra over the space of smooth declining functions either on the configuration space or on the phase space ...
Sums over paths adapted to quantum theory in phase space
The concept of phase space plays a decisive role in the study of the transition from classical to quantum physics. This is particularly the case in areas such as nonlinear dynamics and chaos, geometric quantization and the ...
Los grupos simplécticos y su representación en la teoría del producto cuántico. I. Sp(2,R)
El álgebra de observables de la teoría cuántica encierra una representación del grupo simpléctico. Esta puede usarse a su vez para resolver problemas de caracterización de estados y síntesis espectral en la formulación ...
Algebras of distributions suitable for phase‐space quantum mechanics. I
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 ...
Nonnegative mixed states in Weyl–Wigner–Moyal theory
We classify the gaussian Wigner functions corresponding to mixed states and show that, unlike the case of pure states, not all nonnegative mixed states are gaussian.