Non-spurious harmonic oscillator states with arbitrary symmetry

DOI10.1016/0003-4916(89)90047-XzbMath0875.35078OpenAlexW2028871996MaRDI QIDQ1816259

Akiva Novoselsky, Jacob Katriel

Publication date: 24 November 1996

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(89)90047-x

zbMATH Keywords

algorithmeigenvectorsJacobi coordinatespermutational symmetrynon-spurious harmonic oscillator wave functionstwo-cycle class operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Computational methods for problems pertaining to quantum theory (81-08)

Related Items (4)

Metastable states of a composite system tunneling through repulsive barriers ⋮ Nonspurious harmonic oscillator states in single particle coordinates ⋮ A recursive method for the construction of irreducible representations of the orthogonal group O(n) ⋮ Construction of hyperspherical functions symmetrized with respect to the orthogonal and the symmetric groups.

Cites Work

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• Transformation brackets for harmonic oscillator functions
• Coefficients of fractional parentage in the L–S coupling scheme
• Talmi transformation for particles with different masses (II)
• On the Generalized Exchange Operators for SU(n)

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