The Schrödinger Equation
Chapitre d'ouvrage scientifique
Résumé
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 lectureGHNATIOS, Chady;
ABISSET-CHAVANNE, Emmanuelle;
AMMAR, Amine; CUETOS, Elias;
DUVAL, Jean-Louis;
CHINESTA SORIA, Francisco (Elsevier, 2019)
This work aims at proposing a new procedure for parametric problems whose separated representation has been considered difficult, or whose SVD compression impacted the results in terms of performance and accuracy. The ... -
Article dans une revue avec comité de lectureQUARANTA, Giacomo; ZIANE, Mustapha; DUVAL, Jean Louis; ESI GROUP;
ABISSET-CHAVANNE, Emmanuelle;
CHINESTA SORIA, Francisco (SpringerOpen, 2019)
Most of mechanical systems and complex structures exhibit plate and shell components. Therefore, 2D simulation, based on plate and shell theory, appears as an appealing choice in structural analysis as it allows reducing ... -
Article dans une revue avec comité de lectureIBÁÑEZ, Rubén; SCHEUER, Adrien; HUERTA, Antonio; KEUNINGS, Roland;
ABISSET-CHAVANNE, Emmanuelle;
CHINESTA SORIA, Francisco (Springer Verlag, 2018)
The numerical modelling of forming processes involving the flow of foams requires taking into account the different problem scales. Thus, in industrial applications a macroscopic approach is suitable, whereas the macroscopic ... -
Article dans une revue avec comité de lectureARGERICH, Clara; IBÁÑEZ, Rubén; LEÓN, Angel;
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 ... -
Article dans une revue avec comité de lectureSCHEUER, Adrien; KEUNINGS, Roland;
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 ...