The Schrödinger Equation
Chapitre d'ouvrage scientifique
Auteur
ABISSET-CHAVANNE, Emmanuelle CHINESTA SORIA, FranciscoRésumé
The finest scale in the matter description consists of the one of quantum mechanics. In this chapter we revisit some valuable concepts of quantum mechanics, and more particularly the Schrödinger equation governing the time evolution of the so-called wavefunction, from which expectations can be easily derived. Another important output is the interatomic potentials responsible of the chemical bonds determining the structure and properties of materials. Even if the quantum framework is able to define the big picture, an important difficulty remains: the Schrödinger equation is defined in a highly multidimensional space and its solution is in most cases unattainable.
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Article dans une revue avec comité de lecture;ABISSET-CHAVANNE, Emmanuelle; ; CHINESTA SORIA, Francisco; AMMAR, Amine; (SpringerOpen, 2015)
Nanocomposites allow for a significant enhancement of functional properties, in particular electrical conduction. In order to optimize materials and parts, predictive models are required to evaluate particle distribution ...
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Article dans une revue avec comité de lecture;CUETO, Elias; ; ; ABISSET-CHAVANNE, Emmanuelle; AMMAR, Amine; CHINESTA SORIA, Francisco (Tech Science Press, 2018)
Describing the orientation state of the particles is often critical in fibre suspension applications. Macroscopic descriptors, the so-called second-order orientation tensor (or moment) leading the way, are often preferred ...
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Article dans une revue avec comité de lecture; ; ;ABISSET-CHAVANNE, Emmanuelle; CHINESTA SORIA, Francisco (AIMS Press, 2018)
Abstract: Many composite forming processes are based on the consolidation of preimpregnated preforms of different types, e.g., sheets, tapes, .... Composite plies are put in contact using different technologies and ...
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Article dans une revue avec comité de lecture; ;ABISSET-CHAVANNE, Emmanuelle; CHINESTA SORIA, Francisco (Elsevier Masson, 2018)
The properties of reinforced polymers strongly depend on the microstructural state, that is, the orientation state of the fibres suspended in the polymeric matrix, induced by the forming process. Understanding flow-induced ...
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Article dans une revue avec comité de lecture; ;CUETO, Elias; ABISSET-CHAVANNE, Emmanuelle; CHINESTA SORIA, Francisco (Elsevier Masson, 2018)
Separated representations at the heart of Proper Generalized Decomposition are constructed incrementally by minimizing the problem residual. However, the modes involved in the resulting decomposition do not exhibit a clear ...