Fourier Transform: A Tool to Measure Statistical Level Properties in Very Complex Spectra
- 9 June 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 56 (23), 2449-2452
- https://doi.org/10.1103/physrevlett.56.2449
Abstract
We show that the Fourier transform of very complex spectra gives a sound measurement of long-range statistical properties of levels even in cases of badly resolved, poorly correlated spectra. Examples of nuclear energy levels, highly excited acetylene vibrational levels, and singlet-triplet anticrossing spectra in methylglyoxal are displayed.Keywords
This publication has 21 references indexed in Scilit:
- Transition from Regular to Irregular Spectra in Quantum BilliardsPhysical Review Letters, 1985
- Quantum Spectra and Transition from Regular to Chaotic Classical MotionPhysical Review Letters, 1984
- Uncovering the Transition from Regularity to Irregularity in a Quantum SystemPhysical Review Letters, 1984
- New representation of quantum chaosPhysics Letters A, 1984
- Statistical Behavior of Atomic Energy Levels: Agreement with Random-Matrix TheoryPhysical Review Letters, 1983
- Distributions of energy spacings and wave function properties in vibrationally excited states of polyatomic molecules. I. Numerical experiments on coupled Morse oscillatorsThe Journal of Chemical Physics, 1982
- Fluctuation Properties of Nuclear Energy Levels: Do Theory and Experiment Agree?Physical Review Letters, 1982
- Random-matrix physics: spectrum and strength fluctuationsReviews of Modern Physics, 1981
- Quantizing a classically ergodic system: Sinai's billiard and the KKR methodAnnals of Physics, 1981
- Spectrum and Eigenfunctions for a Hamiltonian with Stochastic TrajectoriesPhysical Review Letters, 1979