Hermite Neural Network Simulation for Solving the 2D Schrodinger Equation

arXiv:2402.10649v1 Announce Type: cross
Abstract: The Schrodinger equation is a mathematical equation describing the wave function's behavior in a quantum-mechanical system. It is a partial differential equation that provides valuable insights into the fundamental principles of quantum mechanics. In this paper, the aim was to solve the Schrodinger equation with sufficient accuracy by using a mixture of neural networks with the collocation method base Hermite functions. Initially, the Hermite functions roots were employed as collocation points, enhancing the efficiency of …

abstract aim arxiv behavior cs.ai cs.lg cs.na differential differential equation equation function insights math.na network neural network paper quantum quantum mechanics simulation solve type