Work

Tunneling and Vibration of Correlated Particles: Quantum Dynamics of a One-Dimensional Three-Body System

Year: 2002

Type: article

Abstract: We study a model of three mutually interacting identical particles confined in a one-dimensional space, giving correlated states without one-body approximations. Certain types of quantum dynamics are illustrated with the model: quantum tunneling of position exchange and interparticle vibration (lattice vibration or phonons). The former is meaningful in the case that the identical particles are distinguished by their internal degrees of freedom. The unitary time evolution is simply written down in terms of the coherence of energy eigenfunctions. Our model clearly describes how the interparticle interaction divides one of the normal modes of the relative motion into tunneling and vibration of the particles.

Source: Progress of Theoretical Physics

DOI: 10.1143/ptp.108.41

Authors: Y. Okajima, T. Ogawa

Institutions: Tohoku University, The University of Osaka

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: bronze

Funders: Japan Society for the Promotion of Science, Core Research for Evolutional Science and Technology

Award: G6718509927