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

Multiscale quantum propagation using compact-support wavelets in space and time.

Haixiang Wang1, Ramiro Acevedo, Heather Mollé

  • 1Department of Chemistry, Rice Quantum Institute and Laboratory for Nanophotonics, Rice University, MS 600, Houston, TX 77005-1892, USA.

The Journal of Chemical Physics
|October 16, 2004
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

Endovascular treatment of a post-traumatic celiac trunk-portal vein fistula.

Radiology case reports·2026
Same author

Case report: Endovascular treatment of a late aortic pseudoaneurysm due to gunshot injury.

Radiology case reports·2026
Same author

Multiphase terminal environmental disinfection targeting Acinetobacter baumannii sustains reduction in multidrug-resistant organism healthcare-associated infections in an ICU.

Antimicrobial resistance and infection control·2026
Same author

Integrated isotopic and molecular insights reveal agricultural legacy phosphorus driving Nanyihu Lake eutrophication.

Environmental research·2026
Same author

Spectrum of epileptogenicity in different cortical tuber radiological subtypes: A stereoelectroencephalographic study.

Epilepsia·2025
Same author

Green Synthesis, Chemical Characterization, and Assessment of the Neuroprotective Properties of Zinc Nanoparticles on the Spinal Cord Injury Contusive Model in Rats.

Biological trace element research·2025
Same journal

Anharmonic phonons via quantum thermal bath simulations.

The Journal of chemical physics·2026
Same journal

Quantum simulation of alignment dependent differential cross sections in co-propagating molecular beams at cold collision energies.

The Journal of chemical physics·2026
Same journal

Non-additive ion effects on the coil-globule equilibrium of a generic polymer in aqueous salt solutions.

The Journal of chemical physics·2026
Same journal

Insights into the unexpected small reduction of the temperature of maximum density of water by lithium chloride addition.

The Journal of chemical physics·2026
Same journal

Optical frequency comb double-resonance spectroscopy of the 9030-9175 cm-1 states of ethylene.

The Journal of chemical physics·2026
Same journal

Time reversal breaking of colloidal particles in cells.

The Journal of chemical physics·2026
See all related articles

Orthogonal Daubechies wavelets solve the time-dependent Schrodinger equation accurately in a discrete wavelet representation. This method enables adaptive multiresolution solvers for quantum dynamics, demonstrating persistence of time scales in scattering simulations.

Area of Science:

  • Quantum mechanics
  • Computational physics
  • Wavelet analysis

Background:

  • The time-dependent Schrodinger equation (TDSE) is fundamental to quantum mechanics.
  • Solving the TDSE accurately and efficiently is crucial for simulating quantum systems.
  • Existing methods face challenges in handling complex dynamics and achieving adaptive resolution.

Purpose of the Study:

  • To develop and validate a novel numerical method for solving the TDSE.
  • To explore the use of orthogonal compact-support Daubechies wavelets in both space and time.
  • To investigate the potential for adaptive multiresolution solvers for quantum dynamics.

Main Methods:

  • Employing orthogonal compact-support Daubechies wavelets as basis functions for spatial and temporal discretization.

Related Experiment Videos

  • Enforcing initial value conditions using specialized early-time wavelets.
  • Adapting the Chebyshev method for propagation in the mixed wavelet-Chebyshev domain.
  • Utilizing Hamiltonian matrix sparseness for computational efficiency.

    • Main Results:

    • The TDSE is solved directly and accurately within the discrete wavelet representation.
    • The method demonstrates the persistence of orthogonal separation into different time scales throughout the evolution.
    • Numerical simulations of scattering from an asymmetric Eckart barrier showcase the effectiveness of the approach.
    • The adapted Chebyshev method leverages Hamiltonian matrix sparseness.

    Conclusions:

    • Discrete wavelet representation offers an accurate and efficient approach to solving the TDSE.
    • The developed method paves the way for highly adaptive multiresolution solvers for quantum dynamics.
    • The persistence of time-scale separation is theoretically predicted and numerically confirmed.
    • This approach shows promise for simulating complex quantum phenomena like scattering events.