𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Brake Orbits of Hamiltonian Systems on Positive-type Hypersurfaces

✍ Scribed by Tianqing An

Book ID
106503911
Publisher
Springer
Year
2006
Tongue
English
Weight
215 KB
Volume
10
Category
Article
ISSN
1385-1292

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On the number of periodic orbits of Hami
On the number of periodic orbits of Hamiltonian systems on positive-type hypersurfaces in R2n
✍ Tianqing An πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 203 KB

In this paper we prove some existence theorems of multiple periodic orbits of Hamiltonian systems on a class of hypersurfaces in R 2n that are more general than star-shaped ones. Our results extend some earlier works on this subject.

Concerning the atomic one-electron model
Concerning the atomic one-electron model hamiltonians of which slater-type orbitals are eigenfunctions
✍ Maurice E. Schwartz πŸ“‚ Article πŸ“… 1976 πŸ› Elsevier Science 🌐 English βš– 460 KB

The well-known nadeless Slater-type orbit& are exact eigenfunctions of the atomic one-electron model hamiftonian with model potential V&g = (-49 + [nfn -1) -I (2 f I)] 126, and eigenvehre EN = -4 G~ftt)~. This potential is discussed, with examples, for two possible choices of the parameters CY and n