Abstract
This paper reports analytical approximations to the level-spacing distributions for two types of eigenspectra: a Gaussian orthogonal ensemble (GOE) eigenspectrum, a fraction of whose levels are omitted, and the superposition of a fractional GOE distribution with levels from a random sequence. The combined distribution would be expected when a spectrum with a GOE spacing distribution is observed, but with insufficient dynamic range to observe all the lines, and with the possibility of contamination from other sequences or from noise identified as spectral lines. Berry recently demonstrated that GOE type spacing statistics are expected in the semiclassical limit of a classically chaotic Hamiltonian. Therefore, the present formula may prove useful in testing for quantum signatures of classical chaos in quantum molecular spectra.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
