RA Van Gorder - Proceedings of the Royal Society A, 2023 - royalsocietypublishing.org
The extension of quantum theory to time-varying space domains is often challenging, since domain evolution frequently results in non-autonomous and non-adiabatic evolution of …
This study aims to use hydrogenic orbitals within an analytic and numeric parameter-free truncated-matrix method to solve the projected Schrödinger equation of some Helium-like …
RL Pavelich, F Marsiglio - American Journal of Physics, 2016 - pubs.aip.org
We extend previous work, applying elementary matrix mechanics to one-dimensional periodic arrays (to generate energy bands), to two-dimensional arrays. We generate band …
RK Pingak, JE Jacob, B Bernandus, AZ Johannes… - Molekul, 2024 - jos.unsoed.ac.id
The approximate solution to the Schrödinger equation of exotic doubly muonic helium-like systems has been obtained using a simple matrix method based on hydrogenic s-states …
Calculation of He atomic energy levels using the first order perturbation theory taught in the Basic Quantum Mechanics course has led to relatively large errors. To improve its accuracy …
We use a simple system, the electron configuration in a hydrogen-like atom, to demonstrate the importance of using a complete basis set to provide a proper quantum mechanical …
K Randles, DV Schroeder, BR Thomas - American Journal of Physics, 2019 - pubs.aip.org
We show how to visualize the process of diagonalizing the Hamiltonian matrix to find the energy eigenvalues and eigenvectors of a generic one-dimensional quantum system …
S Hall, PB Siegel - American Journal of Physics, 2015 - pubs.aip.org
Two coupled Schrödinger equations are used to calculate excited states of atomic helium. Using product state functions for the two-electron state, the shooting method is used to …
KA Chishko - Low Temperature Physics, 2021 - pubs.aip.org
Schrodinger equation for system of two mobile spinless nucleus with Z 0= 2 and four electrons (4 He 2-dimer) has been solved in the framework of exact diagonalization …