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pro vyhledávání: '"Vieyra, Juan C. Lopez"'
It is shown that the non-relativistic ground state energy of helium-like and lithium-like ions with static nuclei can be interpolated in full physics range of nuclear charges $Z$ with accuracy of not less than 6 decimal digits (d.d.) or 7-8 significa
Externí odkaz:
http://arxiv.org/abs/1707.07547
Publikováno v:
Commun.Math.Phys. 260 (2005) 17-44
Solvability of the rational quantum integrable systems related to exceptional root spaces $G_2, F_4$ is re-examined and for $E_{6,7,8}$ is established in the framework of a unified approach. It is shown the Hamiltonians take algebraic form being writ
Externí odkaz:
http://arxiv.org/abs/hep-th/0407204
Publikováno v:
Czech.J.Phys. 53 (2003) 1061-1067
It is shown that the $F_4$ rational and trigonometric integrable systems are exactly-solvable for {\it arbitrary} values of the coupling constants. Their spectra are found explicitly while eigenfunctions are obtained by pure algebraic means. For both
Externí odkaz:
http://arxiv.org/abs/math-ph/0309025