Pismo uredniku
Classical spectrum of an oscillatory helium model
Milan S. Dimitrijević
; Institute of Physics, P. O. Box 57, 11000 Beograd, Yugoslavia
Petar Grujić
; Institute of Physics, P. O. Box 57, 11000 Beograd, Yugoslavia
Sažetak
A generalization of an oscillatory two-electron atomic system, first proposed by Langmuir, has been studied numerically, by calculating electron classical orbits. By applying semiclassical quantization procedure, energy spectrum of the system is evaluated. Nonseparable systems are subjects of extensive studies nowadays, within modern semiclassical theory, because it was there that the Old quantum theory failed to provide proper answers to the problem of finding reasonable correct energy spectra, beyond the hydrogen atom1). Apart of problems with mainly academic interest, some realistic physical systems have been treated semiclassically, e. g. coupled anharmonic oscillators2,3), hydrogen atom in an external field4), two-electron atomic systems5), etc. Helium-like atoms provide a particular chalenge to the semiclassical theory, because of the strong interaction between electrons, but nevertheless a considerable improvement with respect to Bohr's original planetary model, has been achieved. On the other hand, almost all of these calculations start with Keplerian orbits, as all early planetary models did. One of exceptions was Langmuir' s oscillating model6), which has been reexamined recently in the light of the modern (semi) classical theory7). Here we report further examinations of the oscillating two-electron model, via numerical studies of the bounded electron motions.
Ključne riječi
Hrčak ID:
329263
URI
Datum izdavanja:
7.1.1985.
Posjeta: 314 *