Spectral autocorrelation function in weakly open chaotic systems: Indirect photodissociation of molecules

Journal Article · Thu Nov 19 04:00:00 EST 1998 · Journal of Physical Chemistry A: Molecules, Spectroscopy, Kinetics, Environment, amp General Theory

DOI:https://doi.org/10.1021/jp9821836· OSTI ID:320840

Alhassid, Y ^[1]; Fyodorov, Y V ^[2]

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1. Yale Univ., New Haven, CT (United States)
2. Univ.-GH Essen (Germany)

The authors derive the statistical limit of the spectral autocorrelation function and of the survival probability for the indirect photodissociation of molecules in the regime of nonoverlapping resonances. The results are derived in the framework of random matrix theory and hold more generally for any chaotic quantum system that is weakly coupled to the continuum. The correlation hole that characterizes the spectral autocorrelation in the bound molecule diminishes as the typical average total width of a resonance increases.

• Sponsoring Organization: USDOE, Washington, DC (United States)
• DOE Contract Number: FG02-91ER40608
• OSTI ID: 320840
• Journal Information: Journal of Physical Chemistry A: Molecules, Spectroscopy, Kinetics, Environment, amp General Theory, Journal Name: Journal of Physical Chemistry A: Molecules, Spectroscopy, Kinetics, Environment, amp General Theory Journal Issue: 47 Vol. 102; ISSN 1089-5639; ISSN JPCAFH
• Country of Publication: United States
• Language: English

Related Subjects

40 CHEMISTRY
CORRELATION FUNCTIONS
DISSOCIATION
HAMILTONIANS
MOLECULES
PROBABILITY
QUANTUM MECHANICS
RESONANCE
THEORETICAL DATA