Study of the photoabsorption spectrum of diamagnetic Rydberg atoms without the need of using full eigenvectors

✍ Scribed by Youhong Huang; Shih-I Chu

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 451 KB
• Volume: 211
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(93)80150-n

✦ Synopsis

We present a new method for efficient and accurate determination of the eigenvalues and the photoabsorption spectrum of Rydberg atoms in the presence of uniform magnetic fields. The procedure consists of the following elements: (a) Hamiltonian and basis set based on the SO( 4,2) dynamical group and its SO(2, 1) subgroup; (b) Lanczos algorithm with spectrum transformation for dealing with the "internal" energy spectrum of ultralarge sparse symmetric Hamiltonians; and (c) a new procedure for the calculation of photoabsorption spectra of Rydberg atoms without the need of determining and using the full eigenvectors of very large dimension. The method is applied to the photoabsorption spectrum of diamagnetic Rydberg hydrogen atoms in the energy regime close to the ionization threshold where the corresponding classical behavior is chaotic. Good agreement with experimental data is obtained.