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- W2030618004 abstract "The rotating harmonic oscillator in three dimensions (owing its relevance to the diatomic molecule) has been reinvestigated by Nieto and Gutschick. They have demonstrated that the ground-state energy, which is expected (on the basis of naive arguments involving the uncertainty principle) to acquire a contribution $frac{1}{2}ensuremath{hbar}ensuremath{omega}$ from each degree of freedom, and hence should have a value $frac{3}{2}ensuremath{hbar}ensuremath{omega}$, does, on the contrary, in the limit of large equilibrium separation (between the atoms), go to the asymptotic value of only $frac{1}{2}ensuremath{hbar}ensuremath{omega}$, thereby violating what these authors called a quantum folk theorem. The present Brief Report consists of showing that these conclusions can be elucidated analytically and further extended through the $frac{1}{N}$ expansion ($N$ being the dimensionality of the space), leading, in particular, to the result that for the case $N=2$ the approach to the asymptotic limit $(frac{1}{2}ensuremath{hbar}ensuremath{omega})$ is, surprisingly, from below, thereby providing an even stronger violation of this type of equipartition theorem." @default.
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- W2030618004 date "1984-07-01" @default.
- W2030618004 modified "2023-09-27" @default.
- W2030618004 title "Rotating harmonic oscillator: Violation of an equipartition theorem" @default.
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- W2030618004 doi "https://doi.org/10.1103/physreva.30.594" @default.
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