Sustainable Development Goals
Abstract/Objectives
The course emphasizes student presentations, Q&A sessions, and discussions to enhance their proficiency in applying numerical methods to scientific challenges while incorporating sustainable development concepts. Key topics include: (1) the application of Poisson's equation in environmental science for modeling groundwater flow and pollutant diffusion to encourage sustainable water resource use; (2) the time-independent Schrödinger equation's relevance in solid-state physics for advancing sustainable energy; (3) the time-dependent Schrödinger equation's role in chemical reaction kinetics, particularly in carbon dioxide capture to address climate change; (4) the Gross-Pitaevskii equation's applications in developing superconducting materials to improve energy transmission efficiency; and (5) the Poisson-Fermi model's significance in biophysics for studying biological membrane potentials to support biotechnology's sustainable development.
Results/Contributions

This course focuses on student presentations, Q&A, and discussions, aiming to cultivate students' ability to use numerical methods to explore scientific problems while integrating the concept of sustainable development. The course content covers the following topics: (1) Poisson's equation: exploring the application of this equation in environmental science, such as simulating groundwater flow or pollutant diffusion to promote the sustainable use of water resources. (2) Time-independent Schrödinger equation: introducing the application of this equation in solid-state physics and materials science to achieve sustainable energy development. (3) Time-dependent Schrödinger equation: explaining the application of this equation in chemical reaction kinetics, such as studying carbon dioxide capture and conversion to mitigate climate change. (4) Gross-Pitaevskii equation for Bose-Einstein condensate: exploring the application of this equation in condensed matter physics, such as developing superconducting materials to enhance energy transmission efficiency. (5) Poisson-Fermi model: introducing the application of this model in biophysics, such as studying biological membrane potentials to promote the sustainable development of biotechnology.

Keywords
poisson–fermi modelPoisson equationSchrodinger equation Gross- Pitaevskii equation
Contact Information
陳人豪老師
jh.chen@mx.nthu.edu.tw