On the 3n+l Quantum Number in the Cluster Problem

Details On the 3n+l Quantum Number in the Cluster Problem On the 3n+l Quantum Number in the Cluster Problem

1996-06-08

arxiv.org/abs/cond-mat/9606050v1

Phys. Rev. A 54, 670 (1996)

Physics

Condensed Matter

8 pages, revtex, 4 eps figures included, to be published in Phys.Rev.A, additional material available at http://radix2.mpi-s

Scientific paper

10.1103/PhysRevA.54.670

It has recently been suggested that an exactly solvable problem characterized by a new quantum number may underlie the electronic shell structure observed in the mass spectra of medium-sized sodium clusters. We investigate whether the conjectured quantum number 3n+l bears a similarity to the quantum numbers n+l and 2n+l, which characterize the hydrogen problem and the isotropic harmonic oscillator in three dimensions.

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