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Lectures on Graded Differential Algebras and Noncommutative Geometry [PDF]
These notes contain a survey of some aspects of the theory of graded differential algebras and of noncommutative differential calculi as well as of some applications connected with physics. They also give a description of several new developments.
openaire +4 more sources
Theoretical lessons are key for molecules presenting an inverted singlet‐triplet excited state (e.g. S1 and T1) energy difference. This perspective provides a snapshot of the role played by calculations in last years, not only to anticipate experimental findings but also for driving high‐throughput virtual screenings, as well as the main challenge to ...
Ángel José Pérez‐Jiménez+2 more
wiley +1 more source
Feynman diagrams, ribbon graphs, and topological recursion of Eynard-Orantin
We consider two seemingly unrelated problems, calculation of the WKB expansion of the harmonic oscillator wave functions and counting the number of Feynman diagrams in QED or in many-body physics and show that their solutions are both encoded in a single
K. Gopalakrishna+2 more
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Curcuminoid boron difluoride dyes containing triphenylamine units are prepared and their photophysical and electrochemical properties are investigated. These new light‐emitting dyes are used in organic light‐emitting diodes (OLEDs) emitting at 800 nm with 1% external quantum efficiency, and show low threshold amplified spontaneous emission in thin ...
Anthony D'Aléo+11 more
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Open-string integrals with multiple unintegrated punctures at genus one
We study integrals appearing in intermediate steps of one-loop open-string amplitudes, with multiple unintegrated punctures on the A-cycle of a torus. We construct a vector of such integrals which closes after taking a total differential with respect to ...
André Kaderli, Carlos Rodriguez
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FreqD‐LBM simulates the oscillatory flow at the surface of a QCM‐D resonator in the presence of structured adsorbates. It derives shifts of frequency and bandwidth (equivalent to dissipation) on different overtones. Applications include rough surfaces, adsorbed rigid particles, adsorbed viscoelastic particles, spheres floating freely above the surface,
Diethelm Johannsmann+5 more
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The selenium‐based tBuCz‐DiKTaSe emitter containing a twisted ortho‐disposed tert‐butylcarbazole shows high ΦPL, suppressed ACQ, fast kRISC and is chiral. The OLEDs show high EQEmax and alleviated efficiency roll‐off compared to devices with carbonyl‐based MR‐TADF emitters.
Jingxiang Wang+9 more
wiley +2 more sources
Loop-by-loop differential equations for dual (elliptic) Feynman integrals
We present a loop-by-loop method for computing the differential equations of Feynman integrals using the recently developed dual form formalism. We give explicit prescriptions for the loop-by-loop fibration of multi-loop dual forms.
Mathieu Giroux, Andrzej Pokraka
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This work proposes a surface elasticity‐based nonlocal model for analyzing the vibrations of bi‐directionally graded tapered nanobeam. The results demonstrate that, in absence of surface effect, the increasing value of tapered parameter leads to stiffness‐hardening of the nanobeam. However, the consideration of surface effect changes this trend and the
Chinika Dangi, Susmita Naskar
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Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space
We introduce an algebro-geometrically motived integration-by-parts (IBP) re- duction method for multi-loop and multi-scale Feynman integrals, using a framework for massively parallel computations in computer algebra.
Dominik Bendle+7 more
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