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- W2007666564 abstract "The expansion of a crystal potential in terms of a set of three-dimensional polynomials orthogonalized with respect to the weight function ${f}^{2}({stackrel{ensuremath{rightarrow}}{mathrm{r}}}_{1}, {stackrel{ensuremath{rightarrow}}{mathrm{r}}}_{2}, ensuremath{cdots},{stackrel{ensuremath{rightarrow}}{mathrm{r}}}_{N})mathrm{exp}[({stackrel{ensuremath{rightarrow}}{mathrm{r}}}_{i}ensuremath{-}{stackrel{ensuremath{rightarrow}}{mathrm{R}}}_{i})ifmmodecdotelsetextperiodcenteredfi{}{mathrm{G}}_{mathrm{ij}}ifmmodecdotelsetextperiodcenteredfi{}({stackrel{ensuremath{rightarrow}}{mathrm{r}}}_{j}ensuremath{-}{stackrel{ensuremath{rightarrow}}{mathrm{R}}}_{j})]$ is shown to be a logical generalization of the previously introduced self-consistent harmonic approximation which is particularly appropriate for highly anharmonic systems. Explicit expressions for the calculation of the ground-state energy and phonon spectrum of a crystal at 0ifmmode^circelsetextdegreefi{}K are given and certain numerical results for solid ${mathrm{He}}^{3}$ at 0ifmmode^circelsetextdegreefi{}K are presented." @default.
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- W2007666564 date "1967-04-17" @default.
- W2007666564 modified "2023-09-27" @default.
- W2007666564 title "New Approach to Lattice Dynamics Applied to Solid<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=normal>He</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>at 0°K" @default.
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- W2007666564 doi "https://doi.org/10.1103/physrevlett.18.654" @default.
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