Details

Autor(en) / Beteiligte

• Chen, Goong
• Ding, Zhonghai
• Perronnet, Alain
• Zhang, Zhigang

Titel

Visualization and dimensional scaling for some three-body problems in atomic and molecular quantum mechanics

Ist Teil von

• Journal of mathematical physics, 2008-06, Vol.49 (6), p.062102-062102-57

Ort / Verlag

Melville, NY: American Institute of Physics

Erscheinungsjahr

2008

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• Three-body problems in atomic and molecular quantum mechanics, comprising one electron–two nuclei and two electron–one nucleus, are studied from their Schrödinger–Born–Oppenheimer models. The following are main topics of interest in this paper: (1) review of foundational mathematical properties of the multiparticle Schrödinger operator, (2) visualization of H 2 + (hydrogen molecular ion)-like and He (helium)-like molecular and atomic states, and (3) spectrum of He obtained by the large-dimension scaling limit. The authors begin with topic (1) for the tutorial purpose and devote topics (2) and (3) to new contributions of the analytical, numerical, and visualization nature. Relevant heuristics, graphics, proofs, and calculations are presented.