34 citations · 101 across the 7 of their papers we have counts for
7 papers
Semiquantum versus semiclassical mechanics for simple nonlinear systems
A. J. Bracken, J. G. Wood
Quantum mechanics has been formulated in phase space, with the Wigner function as the representative of the quantum density operator, and classical mechanics has been formulated in…
Bounds on integrals of the Wigner function: the hyperbolic case
J. G. Wood, A. J. Bracken
Wigner functions play a central role in the phase space formulation of quantum mechanics. Although closely related to classical Liouville densities, Wigner functions are not positi…
Non-positivity of Groenewold operators
A. J. Bracken, J. G. Wood
A central feature in the Hilbert space formulation of classical mechanics is the quantisation of classical Liouville densities, leading to what may be termed term Groenewold operat…
Non-positivity of the Wigner function and bounds on associated integrals
A. J. Bracken, D. Ellinas, J. G. Wood
The Wigner function shares several properties with classical distribution functions on phase space, but is not positive-definite. The integral of the Wigner function over a given r…
Group Theory and Quasiprobability Integrals of Wigner Functions
A. J. Bracken, D. Ellinas, J. G. Wood
The integral of the Wigner function of a quantum mechanical system over a region or its boundary in the classical phase plane, is called a quasiprobability integral. Unlike a true…
Quantum symmetries and the Weyl-Wigner product of group representations
A. J. Bracken, G. Cassinelli, J. G. Wood
In the usual formulation of quantum mechanics, groups of automorphisms of quantum states have ray representations by unitary and antiunitary operators on complex Hilbert space, in…