title: Semiclassical study of the one-dimensional hydrogen molecule.
abstract: The hydrogen molecule, as a restricted four-body problem, is a mixed chaotic system and is studied in this work as an extension of the helium atom. Several types of one-dimensional periodic orbits have been studied for this two-fixed-center system starting from some known orbits for the one-fixed-center system (helium atom). The hydrogen molecule has been studied by means of a semiclassical formalism. The single quantization of some periodic orbits are shown. These orbits are used to form a global quantization of the hydrogen molecule. Electronic energies of this nonintegrable molecular system are obtained with nonsingle semiclassical quantization.
authors.affiliation: Centro de Matemática, Computação e Cognição, Universidade Federal do ABC-UFABC, Santo André, SP, 09090-400 Brazil.
authors.forename: A
authors.initials: A
authors.lastname: López-Castillo
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004583:Electrons; D006859:Hydrogen / Q000737:chemistry*; D008956:Models, Chemical; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*; D011789:Quantum Theory
chemical_list: D006859:Hydrogen