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- W2029593608 abstract "In the present paper we obtain 3N integrals of motion associated with a system of N particles moving in a common harmonic oscillator potential and having a quadrupole-quadrupole interaction. We obtain also the eigenvalues of these 3N integrals of motion by applying the corresponding operators to the reduced canonical wave function defined in a previous paper. The reduced canonical wave function is constructed explicitly and it is shown to give a basis for all the irreducible representations of the three dimensional unitary unimodular group. One of the integrals of motion obtained is essentially the quadrupole moment projected along the direction of the angular momentum and its eigenvalues are discussed in detail." @default.
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- W2029593608 date "1961-02-01" @default.
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- W2029593608 title "Group theory of harmonic oscillators (II). The integrals of Motion for the quadrupole-quadrupole interaction" @default.
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- W2029593608 doi "https://doi.org/10.1016/0029-5582(61)90253-x" @default.
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