title: Finite-element distributions as an apparatus for detection of the Einstein-Brillouin-Keller quantized energy levels.
abstract: Regularities encountered for some systems with non-eneric spacing distributions are discussed and a corollary which connects these regularities with the Einstein-Brillouin-Keller (EBK) quantized energy levels is formulated. Properties of quantum systems are investigated with the help of finite elements probability distributions. Analytic properties of three-point finite-element distributions are investigated. Four-point finite-element distributions for an integrable model are presented. Analytic properties of such distributions for chaotic and integrable models are discussed.
authors.affiliation: Institute of Physics, Jagiellonian University, 30-059 Kraków ul. Reymonta 4, Poland.
authors.forename: Piotr
authors.initials: P
authors.lastname: Sułkowski
authors.forename: Krzysztof
authors.initials: K
authors.lastname: Sokalski