Chaotic spectra: How to extract dynamic information

Conference · Sat Oct 01 00:00:00 EDT 1988

OSTI ID:6795167

Taylor, H S; Gomez Llorente, J M; Zakrzewski, J; Kulander, K C

Nonlinear dynamics is applied to chaotic unassignable atomic and molecular spectra with the aim of extracting detailed information about regular dynamic motions that exist over short intervals of time. It is shown how this motion can be extracted from high resolution spectra by doing low resolution studies or by Fourier transforming limited regions of the spectrum. These motions mimic those of periodic orbits (PO) and are inserts into the dominant chaotic motion. Considering these inserts and the PO as a dynamically decoupled region of space, resonant scattering theory and stabilization methods enable us to compute ladders of resonant states which interact with the chaotic quasi-continuum computed in principle from basis sets placed off the PO. The interaction of the resonances with the quasicontinuum explains the low resolution spectra seen in such experiments. It also allows one to associate low resolution features with a particular PO. The motion on the PO thereby supplies the molecular movements whose quantization causes the low resolution spectra. Characteristic properties of the periodic orbit based resonances are discussed. The method is illustrated on the photoabsorption spectrum of the hydrogen atom in a strong magnetic field and on the photodissociation spectrum of H/sub 3//sup +/. Other molecular systems which are currently under investigation using this formalism are also mentioned. 53 refs., 10 figs., 2 tabs.

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6795167
• Report Number(s): UCRL-99925; CONF-8808174-1; ON: DE89003893; TRN: 89-002917
• Resource Relation: Conference: International conference on classical dynamics in atomic and molecular physics, Brioni, Yugoslavia, 30 Aug 1988; Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ABSORPTION SPECTRA
NONLINEAR PROBLEMS
ATOMS
DISSOCIATION
EXCITATION
EXCITED STATES
HYDROGEN
MAGNETIC FIELDS
MOLECULES
SCATTERING
SPATIAL RESOLUTION
WAVE FUNCTIONS
ELEMENTS
ENERGY LEVELS
ENERGY-LEVEL TRANSITIONS
FUNCTIONS
NONMETALS
RESOLUTION
SPECTRA
640302* - Atomic
Molecular & Chemical Physics- Atomic & Molecular Properties & Theory
640304 - Atomic
Molecular & Chemical Physics- Collision Phenomena