DeepErwin is a python 3.8+ package that implements and optimizes JAX 2.x wave function models for numerical solutions to the multi-electron Schrödinger equation. DeepErwin supports weight-sharing when ...

[3] Remarkable Findings in Fundamental Theory of Quantum Mechanics—Matter Wave and Discrete Time in Physics ...

The parallel consideration of path integrals requires the evaluation of these around periodic classical configurations, the fluctuation equations about which lead back to specific wave equations. The ...

School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, P. R. China Center for Differential Equations and their Applications, Hebei University of ...

The proof of Theorem 1.2 requires a series of analysis. We have to overcome the sign-changing property of the logarithmic convolution term. We shall derive the following crucial estimate: there exists ...

Abstract: A generalized dispersion equation is derived featuring coupled mode theory, parity-time symmetry, and leaky wave antennas of arbitrary periodic modulation. It can be specialized to each of ...

The numerical scheme is based on finite difference method. This program is also providing several boundary conditions. More particularly the Neumann, Dirichlet and Mur boundary conditions.

Department of Chemistry, Norwegian University of Science and Technology, 7491 Trondheim, Norway ...