Extracular densities of the non-Born–Oppenheimer Hookean H2 molecule

López, Xabier; Ugalde, Jesus M.; Ludeña, Eduardo V.

doi:10.1016/j.cplett.2005.07.015

Cited by 8 publications

(2 citation statements)

References 18 publications

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“…It may be useful in studying various aspects of separability of quantum systems related to the electron correlation effects, nonadiabatic effects, intermolecular interactions. Several models, some known since long (as harmonium [6]) and other ones recently constructed (as the Hookean hydrogen molecules [9][10][11][12]), appear to be its special cases. Also the Moshinsky model of an atom [3] may be viewed as its K = 0 limit.…”

Section: Final Remarksmentioning

confidence: 99%

“…The model is applicable to a description of a large number of systems in which interactions between specific pairs of particles are different than the remaining interactions. Several systems, interesting for quantum-chemical applications, including harmonium, also known as the Hooke atom, [5][6][7][8] and the Hookean hydrogen molecules [9][10][11][12], appear to be special cases of this model. This article is dedicated to Professor Karol Jankowski on the occasion of his 70th birthday.…”

Section: Introductionmentioning

confidence: 99%

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A separable model of N interacting Particles

Karwowski¹

2008

Int J of Quantum Chemistry

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A separable model of N particles interacting by two-particle potentials is presented. The interactions between disjoint pairs of particles are described by arbitrary two-particle potentials which depend on the interparticle distance only. The remaining interactions are described by two-particle harmonic oscillator potentials. A set of the pair potentials for which the model is quasi-exactly solvable is derived.

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Section: Final Remarksmentioning

confidence: 99%