Lifting formulas, Moyal product, and Feigin spectral sequence
The paper has been withdrawn due to a crucial mistake in the ...
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Multidimensional quantum normal forms, Moyal star product, and torus quantization
A normal form transformation is carried out on the operators of a complete set of commuting observables in a multidimensional, integrable quantum system, mapping them by unitary conjugation into functions of the harmonic oscillators in the various degrees of freedom.
Cargo, Matthew +2 more
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Jeffreys Divergence and Generalized Fisher Information Measures on Fokker-Planck Space-Time Random Field. [PDF]
Zhang J.
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Correspondence between the Energy Equipartition Theorem in Classical Mechanics and Its Phase-Space Formulation in Quantum Mechanics. [PDF]
Marulanda E, Restrepo A, Restrepo J.
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Evaluation of in vitro intrinsic radiosensitivity and characterization of five canine high-grade glioma cell lines. [PDF]
Cartiaux B +6 more
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Impact of radiation on host immune system in patients treated with chemoradiotherapy and durvalumab consolidation for unresectable locally advanced non-small cell lung cancer. [PDF]
Pasquier C +9 more
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Diagonal Representation of Open String Star and Moyal Product
LaTeX 2e, 21+12 pages, 6 figures, typos ...
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Asymptotic Behaviour of Determinants Through the Expansion of the Moyal Star Product
We work out a generalization of the Szegö limit theorems on the determinant of large matrices. We focus on matrices with nonzero leading principal minors and elements that decay to zero exponentially fast with the distance from the main diagonal, but we relax the constraint of the Toeplitz structure. We obtain an expression for the asymptotic behaviour
Maurizio Fagotti, Vanja Marić
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Gravitationally induced decoherence vs space-time diffusion: testing the quantum nature of gravity. [PDF]
Oppenheim J +3 more
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The theory of α*-cohomology is studied thoroughly and it is shown that in each cohomology class there exists a unique 2-cocycle, the harmonic form, which generates a particular Groenewold-Moyal star product. This leads to an algebraic classification of translation-invariant non-commutative structures and shows that any general translation-invariant non-
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