Published June 15, 1990 | Version v1
Journal article

Hydrogen molecular ions in two dimensions

  • 1. Department of Physics, Tsinghua University, Beijing 100084 (China)
  • 2. Center of Theoretical Physics, Chinese Center of Advanced Science Technology (World Laboratory), P.O. Box 8730, Beijing 100084 (China)

Description

The exact solutions of the Schroedinger equation of a two-dimensional hydrogen molecular ion (2D HMI), expressed in confocal elliptic coordinates, are obtained. Calculated results show that the binding energy and equilibrium distance of the ground state of a 2D HMI are, respectively, much larger and shorter than those of a 3D HMI, and that the behavior of a low-dimensional electron is similar to that of a more massive charged particle. This may be useful for understanding new physical phenomena

Additional details

Publishing Information

Journal Title
Physical Review, B: Condensed Matter
Journal Volume
41
Journal Issue
17
Series
Phys. Rev., B: Condens. Matter.
Journal Page Range
12274-12277
ISSN
0163-1829
CODEN
PRBMD

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
21073085
Subject category
S74: ATOMIC AND MOLECULAR PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; BINDING ENERGY; ELECTRONIC STRUCTURE; HYDROGEN IONS; MOLECULAR IONS; SCHROEDINGER EQUATION
Descriptors DEC
CHARGED PARTICLES; DIFFERENTIAL EQUATIONS; ENERGY; EQUATIONS; IONS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS