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The symplectic geometry of the phase space associated with a charged particle is determined by the addition of the Faraday 2-form to the standard dp ∧ dq structure on R 2n. In this paper we describe the corresponding algebra of Weyl-symmetrized functions in operatorsˆq, ˆ p satisfying nonlinear commutation relations. The multiplication in this algebra(More)
—Past data management practices in many fields of natural science, including climate research, have focused primarily on the final research output – the research publication – with less attention paid to the chain of intermediate data results and their associated metadata, including provenance. Data were often regarded merely as an adjunct to the(More)
On the notion of quantum Lyapunov exponent. Abstract. Classical chaos refers to the property of trajectories to diverge exponentially as time t → ∞. It is characterized by a positive Lyapunov exponent. There are many different descriptions of quantum chaos. The one related to the notion of generalized (quantum) Lyapunov exponent is based either on(More)
The Schrödinger and Heisenberg evolution operators are represented in phase space T * R n by their Weyl symbols. Their semiclassical approximations are constructed in the short and long time regimes. For both evolution problems, the WKB representation is purely geometrical: the amplitudes are functions of a Pois-son bracket and the phase is the symplectic(More)
  • T A Osborn, M F Kondrat 'eva, G C Tabisz, B R Mcquarrie, Osborn, Kondrat 'eva
  • 1998
A new and computationally viable full quantum version of line shape theory is obtained in terms of a mixed Weyl symbol calculus. The basic ingredient in the collision–broadened line shape theory is the time dependent dipole autocorrelation function of the radiator-perturber system. The observed spectral intensity is the Fourier transform of this correlation(More)
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