Groundstate energy of quantum liquids
Abstract
The kinetic ( K {_{4}/^{0}} ( n) and K {_{3}/^{0}} ( n)) and potential ( V {_{4}/^{0}} ( n) and V {_{3}/^{0}} ( n)) energies of ^{4}He and ^{3}He atoms have been found from the law of corresponding states and the experimental data on the dependence of the groundstate energies E {_{4}/^{0}} ( n) and E {_{3}/^{0}} ( n) on the density of the isotopes ^{4}He and ^{3}He. In the approximation of structureless quantum liquid, the potential energies are equal, V {_{4}/^{0}} V {_{3}/^{0}} ( n) = ( n), and the kinetic energies are inversely proportional to the atomic mass, . The potential energy given by the expression V ^{0} = 4 E {_{4}/^{0}}  3 E {_{3}/^{0}} to a high accuracy is linear in the density n, which is associated with nearly an absence of shortrange order in liquid helium. The kinetic energy of liquid ^{4}He is given by the expression K {_{4}/^{0}} = 3( E {_{3}/^{0}}  E {_{4}/^{0}}), which agrees with the experimental data on neutron scattering in liquid ^{4}He. The quantities K {_{4}/^{0}} ( n) and K {_{3}/^{0}} ( n) determine the scale of all thermodynamic characteristics in the temperature range where the effects of the particle statistics can be neglected.
 Publication:

Soviet Journal of Experimental and Theoretical Physics Letters
 Pub Date:
 September 2013
 DOI:
 10.1134/S0021364013140051
 Bibcode:
 2013JETPL..98...33D