The paper is devoted to the study of a type of differential systems which appear usually in the study of some Hamiltonian systems with 2 degrees of freedom. We prove the existence of infinitely many periodic orbits on each negative energy level. All these periodic orbits pass near the total collision. Finally we apply these results to study the existence of periodic orbits in the charged collin...

Certain quasi-exactly solvable systems exhibit an energy reflection property that relates the energy levels of a potential or of a pair of potentials. We investigate two sister potentials and show the existence of this energy reflection relationship between the two potentials. We establish a relationship between the lowest energy edge in the first potential using the weak coupling expansion and...

An atomic spectral line is characteristic of the element producing the spectrum. The line also depends on the isotope. The program ris3 (Relativistic Isotope Shift) calculates the electron density at the origin and the normal and specific mass shift parameters. Combining these electronic quantities with available nuclear data, isotope-dependent energy level shifts are determined.

This paper uses a laboratory experiment and real world data to explore individuals' motivations for redistribution. The laboratory results show that as income uncertainty diminishes, participants become more extreme in their preferences for redistribution. The findings suggest that for most people, the motivation for redistribution is financial self-interest---namely as insurance against future...

Dirac equation in a chromomagnetic field is solved for colored particle moving in limited space volume. Quantized energy levels and corresponding wave functions are found for a backgrounds both directed along third axes and having spherical symmetry. It was shown interrelation with the case of motion in infinite space volume.

Article history: Received 28 December 2007 Received in revised form 6 June 2008 Accepted 12 June 2008 Available online 17 June 2008 PACS: 02.30.Hq 02.60.Jh 02.60.Lj 03.65.Nk 31.15.Ja 31.15.Pf 34.50.-s 34.80.Bm

Article history: Available online 14 May 2011