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Algunas fórmulas útiles para productos torcidos
Investigamos dos modificaciones del producto cuántico o torcido de funciones sobre el espacio de fases, y proporcionamos una colección de fórmulas útiles en el cálculo con estos productos. La primera modificación es la ...
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 ...
The chirality theorem
We show how chirality of the weak interactions stems from string independence in the string-local formalism of quantum field theory.
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 significance of physiologically structured models for fish stock dynamics
The present working document contains the initial papers of a series whose ultimate purpose is to provide a realistic basis for a fresh appraisal of both the surplus production and the dynamic pool approaches to fishery ...
Phase-space representation for Galilean quantum particles of arbitrary spin
The phase-space approach to quantization is extended to incorporate spinning particles with Galilean symmetry. The appropriate phase space is the coadjoint orbit R^6 x S^2. From two basic principles, traciality and ...
On asymptotic expansions of twisted products
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 ...
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, ...
Algebras of distributions suitable for phase-space quantum mechanics. III. The dual space of the algebra L_b(S)
The strong dual space of the topological algebra L_b(S), where S is the Schwartz space of smooth declining functions on R, may be obtained as an inductive limit of projective limits of Hilbert spaces. To that end, we ...
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.