The UJI is developing two studies on geometric analysis in quantum mechanics and neuroplasticity in the resolution of arithmetic-algebraic problems



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## The UJI is developing two studies on geometric analysis in quantum mechanics and neuroplasticity in the resolution of arithmetic-algebraic problems

13/04/2022 |
SCP

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The Universitat Jaume I of Castelló has obtained, within the Spanish Plan for Scientific and Technical Research and Innovation 2017-2020, more than seventy-five thousand euros to develop a study on neuroplasticity in learning to solve arithmetic-algebraic problems with inversion error and a research on geometric analysis and potential theory, which will analyse, among other aspects, the application of geometric analysis methods in the context of quantum mechanics.

The project "Study of neuroplasticity in learning to solve arithmetic-algebraic problems with inversion error", coordinated by the researcher Noelia Ventura-Campos, from the Department of Education and Specific Didactics with a budget of 48,400 euros, aims to discover the underlying neuronal bases and changes in brain connectivity caused during the learning of verbal problem solving with inversion error that causes, for example, that a mathematical relation is not correctly related to its mathematical expression, as well as to discover which of the two explanations that currently exist causes the error.

The study "Geometric analysis and potential theory", coordinated by Vicent Gimeno García, from the Differential Geometry Research Group and the Institute of Mathematics and Applications of Castelló (IMAC), with a budget of 30,492 euros, incorporates new topics of study within the field of geometric analysis, such as the application of methods of analysis within quantum mechanics, specifically in the determination of the energy spectrum of quantum particles restricted on surfaces and problems in the field of linear optics.

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