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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)

- G. A. Smith, J. Jansson, E. M. Rocha, T. Osborn, P. J. Hallett, O. Isacson
- Molecular Neurobiology
- 2015

It has been uncertain whether specific disease-relevant biomarker phenotypes can be found using sporadic Parkinson’s disease (PD) patient-derived samples, as it has been proposed that there may be a plethora of underlying causes and pathological mechanisms. Fibroblasts derived from familial PD patients harboring leucine-rich repeat kinase 2 (LRRK2),… (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, +4 authors Andrew Woolf
- IJDC
- 2012

- 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)

- Ashraf S Habib, Harold Minkowitz, +6 authors Tong J Gan
- Anesthesiology
- 2008

BACKGROUND
Adenosine regulates pain transmission by actions at spinal, supraspinal, and peripheral sites. A few studies have suggested that administration of adenosine might be associated with anesthetic- and analgesic-sparing effects. The primary aim of this multicenter study was to determine the dose-response profile of adenosine with respect to… (More)

- Davide Zanchettin, Claudia Timmreck, +19 authors Qiong Zhang
- 2014

- 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)

- 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)

- 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)