Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bulletin of the American Physical Society

New Analytic Solutions of Schr\"{o}dinger's Equation in Time and Space

Hichem Eleuch, Yuri V. Rostovtsev, Marlan O. Scully

Published Mar 16, 2010• 0 citations
OpenAlex

Related papers

Comment on “New analytic solution of Schrödinger's equation” by Eleuch H. et al.

Alexander Moroz

Europhysics Letters (EPL)•Feb 1, 2017•4 citations

Solution of Schrödinger equation with time-dependent potential in non-commutative phase space

WU An-qi, Chao‐Yun Long, Shuijie Qin

In this paper, the Schrodinger equation of time-dependent potentials has been studied in noncommutative phase space. As an example, the analytical solution of time-dependent harmonic oscillator has been obtained.

International Conference on Multimedia Technology (ICMT)•Jul 1, 2011•0 citations

Improving the One Dimensional Schr\"{o}dinger Equation

Bradley Schorer, Stephen E. Bricher, Joelle Murray

Bulletin of the American Physical Society•May 15, 2009•0 citations

Numerical approach to the Schrödinger equation in momentum space

William A. Karr, Christopher R. Jamell, Yogesh N. Joglekar

The treatment of the time-independent Schrödinger equation in real space is an indispensable part of introductory quantum mechanics. In contrast, the Schrödinger equation in momentum space is an integral equation that is not readily amenable to an analytical solution and is rarely taught. We present a numerical approach to the Schrödinger equation in momentum space. After a suitable discretization process, we obtain the Hamiltonian matrix and diagonalize it numerically. By considering a few examples, we show that this approach is ideal for exploring bound states in a localized potential and complements the traditional (analytical or numerical) treatment of the Schrödinger equation in real space.

arXiv:0910.0574•American Journal of Physics•Mar 11, 2010•8 citations

Inference of Schr\"{o}dinger Equation from Classical-Mechanics Solution

J. X. Zheng-Johansson, Pär I. Johansson

Bulletin of the American Physical Society•Mar 13, 2006•0 citations

A comparison of solutions to the time dependent Schrödinger equation

Chi-Ming Chang

Various methods providing approximate solutions to the time dependent Schrödinger equation proposed in a previous paper are compared using two examples for which the exact analytic solutions are known. Results show that the new method proposed in the previous paper is better than the traditional method for time dependent parameters.

The Journal of Chemical Physics•Oct 15, 1977•0 citations
The treatment of the time-independent Schrödinger equation in real space is an indispensable part of introductory quantum mechanics. In contrast, the Schrödinger equation in momentum space is an integral equation that is not readily amenable to an analytical solution and is rarely taught. We present a numerical approach to the Schrödinger equation in momentum space. After a suitable discretization process, we obtain the Hamiltonian matrix and diagonalize it numerically. By considering a few examples, we show that this approach is ideal for exploring bound states in a localized potential and complements the traditional (analytical or numerical) treatment of the Schrödinger equation in real space.