Jove
Visualize
Contact Us

Related Experiment Videos

Noncommutative quantum mechanics from noncommutative quantum field theory.

Pei-Ming Ho1, Hsien-Chung Kao

  • 1Department of Physics, National Taiwan University, Taipei, Taiwan, Republic of China. pmho@phys.ntu.edu.tw

Physical Review Letters
|April 17, 2002
PubMed
Summary

We derived multiparticle quantum mechanics from quantum field theory. Opposite charges have opposite noncommutativity, meaning no corrections to the hydrogen atom spectrum at the tree level.

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

Final-State Condition and Dissipative Quantum Mechanics.

Entropy (Basel, Switzerland)·2023
Same author

High-energy zero-norm states and symmetries of string theory.

Physical review letters·2006
Same author

Spacelike brane actions.

Physical review letters·2003
See all related articles
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

Area of Science:

  • Theoretical Physics
  • Quantum Mechanics
  • Quantum Field Theory

Background:

  • Noncommutative quantum field theory (NCQFT) is an extension of quantum field theory.
  • Exploring the nonrelativistic limit of NCQFT is crucial for understanding multiparticle systems.

Purpose of the Study:

  • To derive noncommutative multiparticle quantum mechanics from NCQFT.
  • To investigate the implications of noncommutativity for particle interactions and atomic spectra.
  • To address challenges in noncommutative phenomenology and propose a unified theory.

Main Methods:

  • Derivation of noncommutative multiparticle quantum mechanics from NCQFT in the nonrelativistic limit.
  • Analysis of particle interactions with opposite charges under noncommutativity.

Related Experiment Videos

  • Examination of the hydrogen atom spectrum at the tree level.
  • Conceptual development for noncommutative grand unified theories.

    • Main Results:

    • Noncommutative multiparticle quantum mechanics successfully derived from NCQFT.
    • Particles with opposite charges exhibit opposite noncommutativity.
    • No noncommutative corrections to the hydrogen atom spectrum were found at the tree level.
    • Obstacles to noncommutative phenomenology were identified.

    Conclusions:

    • The nonrelativistic limit of NCQFT provides a framework for multiparticle quantum mechanics.
    • The absence of tree-level corrections to the hydrogen spectrum has implications for experimental verification.
    • A pathway for constructing noncommutative SU(5) grand unified theories was proposed.