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Quantum fluid-solid transition in a simple variational approach

✍ Scribed by M de Llano; S Ramírez

Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
714 KB
Volume
79
Category
Article
ISSN
0003-4916

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✦ Synopsis

A determinant (permanent) of plane waves for N fermions (bosons) in their lowestenergy state, and a determinant (permanent) of spatially-localized, nonoverlapping, single-particle functions are used to determine conditions on the short-ranged, squarewell repulsive plus Yukawa attractive, two-body potential for which the spatially homogeneous or periodic particle-density states are energetically preferred. A considerable region in the coupling parameter-density plane is found where "crystalline" solutions are preferred. In particular, for purely repulsive forces, the low-density region for which the "fluid" solution is lowest shrinks to zero in the limit of infinitely repulsive cores, but faster for bosons than fermions. Inclusion of attractive forces is seen not to alter qualitatively the main results. Ho = ; (-&-Vi2 + &), id (2) * Work supported in part by Instituto National de Energia Nuclear (Mexico).

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