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

Quantum dynamics as a stochastic process

S John1, J W Wilson

  • 1Vigyan, Inc., Hampton, Virginia 23666-1325, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|January 1, 1994
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

Space flight alters bacterial gene expression and virulence and reveals a role for global regulator Hfq.

Proceedings of the National Academy of Sciences of the United States of America·2007
Same author

Randomised placebo controlled trial of non-invasive ventilation for hypercapnia in cystic fibrosis.

Thorax·2007
Same author

Does expiratory flow limitation predict chronic dyspnoea in adults with cystic fibrosis?

The European respiratory journal·2006
Same author

The prevalence of benign breast disease in women with polycystic ovary syndrome: a review of a 12-year follow-up.

International journal of clinical practice·2005
Same author

Computational methods for the HZETRN code.

Advances in space research : the official journal of the Committee on Space Research (COSPAR)·2005
Same author

Validation of the HZETRN code for laboratory exposures with 1A GeV iron ions in several targets.

Advances in space research : the official journal of the Committee on Space Research (COSPAR)·2005
Same journal

Efficient Monte Carlo simulations using a shuffled nested Weyl sequence random number generator.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Spatiotemporal dynamics of electromagnetic pulses in saturating nonlinear optical media with normal group velocity dispersion.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Soliton-breather reaction pathways.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Calculation of electromagnetic properties of regular and random arrays of metallic and dielectric cylinders.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Electromagnetic convective cells in a nonuniform dusty plasma.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
Same journal

Stability of neural networks and solitons of field theory.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics·2002
See all related articles

This study solves the quantum Liouville equation using generalized Monte Carlo methods. The approach simulates quantum systems by combining classical phase space evolution with stochastic quantum jumps in momentum space.

Area of Science:

  • Quantum mechanics
  • Computational physics
  • Statistical mechanics

Background:

  • Solving the quantum Liouville equation is crucial for understanding quantum system dynamics.
  • Previous methods have limitations in higher dimensions and complex potentials.

Purpose of the Study:

  • To develop and validate a generalized Monte Carlo technique for solving the quantum Liouville equation.
  • To extend existing methods to higher dimensions and apply them to anharmonic potentials.

Main Methods:

  • The quantum Liouville equation is solved in the Wigner representation.
  • Generalized Monte Carlo techniques are employed, simulating time evolution as sequential classical steps and stochastic quantum momentum jumps.
  • The method is extended to higher dimensions and an alternative algorithm is developed.
Keywords:
NASA Discipline Number 45-10NASA Discipline Radiation Health

Related Experiment Videos

Main Results:

  • The developed technique is validated for higher dimensions.
  • An alternative algorithm shows significantly improved results for quantum systems in anharmonic potentials.
  • The simulation combines classical phase space evolution with stochastic quantum jumps.

Conclusions:

  • The generalized Monte Carlo approach provides an effective method for solving the quantum Liouville equation.
  • The technique is robust and applicable to higher-dimensional systems and complex potentials.
  • This method offers improved accuracy for studying quantum dynamics.