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- T. A. Osborn
- 2000

A gauge invariant quantization in a closed integral form is developed over a linear phase space endowed with an inhomogeneous Faraday electromagnetic tensor. An analog of the Groenewold product formula (corresponding to Weyl ordering) is obtained via a membrane magnetic area, and extended to the product of N symbols. The problem of ordering in quantization… (More)

- M V Karasev, T A Osborn
- 2008

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)

- Arif Shaon, Sarah Callaghan, Bryan Lawrence, Brian Matthews, Timothy Osborn, Colin Harpham +1 other
- IJDC
- 2012

- Davide Zanchettin, Claudia Timmreck, Myriam Khodri, Alan, Gabi Hegerl, Anja Schmidt +16 others
- 2014

- Arif Shaon, Sarah Callaghan, Bryan Lawrence, Brian Matthews, Andrew Woolf, Timothy Osborn +1 other
- eScience
- 2011

—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)

- M V Karasev, T A Osborn
- 2005

For manifolds M of noncompact type endowed with an affine connection (for example, the Levi-Civita connection) and a closed 2-form (magnetic field) we define a Hilbert algebra structure in the space L 2 (T * M) and construct an irreducible representation of this algebra in L 2 (M). This algebra is automatically extended to polynomial in momenta functions… (More)

- M F Kondratieva, T A Osborn
- 2005

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)

- T A Osborn, M F Kondratieva
- 2002

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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