Temperature variation of the elementary excitation spectrum of two- and three-dimensional liquid 4He

✍ Scribed by Chung-In Um; Eui-Soon Yim; Thomas F. George

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 732 KB
• Volume: 215
• Category: Article
• ISSN: 0921-4526
• DOI: 10.1016/0921-4526(95)00413-3

✦ Synopsis

Adopting the separability assumption in conjunction with the hypernetted-chain approximation and the minimum principle of Helmholtz free energy based on the trial density matrix expressed in terms of Jastrow-type wave functions, a set of coupled Euler-Lagrange equations are obtained for the radial distribution function, structure function, excitation spectrum and occupation number of a quantum fluid at finite temperatures. Numerical solutions of these functions are determined through a generalization of the linearized variational calculation method. The behavior of these functions as the temperature and density is varied in two dimensions is similar to three-dimensional experimental data.