Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Parallel solver for the time-dependent linear and nonlinear Schrödinger equation.

Barry I Schneider1, Lee A Collins, S X Hu

  • 1Physics Division, National Science Foundation, Arlington, VA 22230, USA. bschneid@nsf.gov

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 12, 2006
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Direct Simulations of H-He Mixtures at Planetary Interior Conditions: Demixing, Insulator-Metal Transition and Miscibility Boundaries.

The journal of physical chemistry letters·2026
Same author

Deriving reliable nucleation rates from metadynamics simulations: Application to Yukawa fluids.

The Journal of chemical physics·2026
Same author

Development of an ab initio learned model of electron deposition range in deuterium-tritium plasmas through time-dependent density functional theory calculations and machine learning.

Physical review. E·2026
Same author

Experimental and numerical evaluation of laser shinethrough in polystyrene at 3<i>ω</i> and 4<i>ω</i> laser frequencies.

Optics express·2025
Same author

Nonequilibrium effects in high-gain inertial confinement fusion.

Physical review. E·2025
Same author

Crystal nucleation rates in one-component Yukawa systems.

Physical review. E·2025
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

This study introduces an efficient and accurate method combining the finite-element discrete variable representation (FEDVR) and real-space product (RSP) algorithm for solving the time-dependent Schrödinger equation in physics and chemistry.

Area of Science:

  • Computational Physics
  • Quantum Chemistry
  • Materials Science

Background:

  • Solving the time-dependent Schrödinger equation is crucial for understanding quantum systems.
  • Applications span atomic/molecular systems in electromagnetic fields and material behavior.

Purpose of the Study:

  • To develop an efficient and highly accurate method for solving the time-dependent linear and nonlinear Schrödinger equation.
  • To combine the finite-element discrete variable representation (FEDVR) with the real-space product (RSP) algorithm.

Main Methods:

  • Utilizes FEDVR for accurate spatial representation with minimal grid points.
  • Employs the RSP algorithm for efficient wave function propagation.
  • Implements transparent parallelization using message-passing-interface (MPI) for distributed spatial dimensions.

Related Experiment Videos

Main Results:

  • Demonstrates a highly accurate and efficient computational method.
  • Provides a detailed formalism and three-dimensional examples.
  • Shows superior accuracy and efficacy compared to the finite-difference method.

Conclusions:

  • The combined FEDVR-RSP method offers a powerful tool for time-dependent quantum mechanical problems.
  • The approach is accurate, efficient, and scalable for complex systems.
  • Enables advanced simulations in physics and chemistry.