NASA NTRS · 19920046936
Semiclassical matrix elements from periodic orbits
Abstract
An extension of Gutzwiller's (1967, 1969, 1970, 1971, 1990) semiclassical theory for chaotic systems that allows a determination of matrix elements in terms of classical periodic orbits. Associated zeta functions are derived. The semiclassical predictions are found to be in good agreement with Fourier transforms of quantum spectra of hydrogen in a magnetic field. Expressions for off-diagonal matrix elements are derived that are extensions of the Bohr correspondence relations for integrable systems.
Keep this discovery
Explore connections, maps & timelines
Eckhardt, B., Fishman, S., Mueller, K., Wintgen, D.. 1992-03-15. Semiclassical matrix elements from periodic orbits. https://ntrs.nasa.gov/citations/19920046936
Cite the original work for its findings. Save a collection to share your selection of sources.