Exact integral relation between the triplet correlation function in the ground state of the completely polarised homogeneous electron fluid and the pair function: comparison with the classical liquid argon result
In a classical monoatomic liquid such as argon, there is a well-known relation between an integral over the triplet correlation function and the pair function, independent of the interparticle interaction. Here, we make a start on establishing a quantum-mechanical analogue by considering the ground state of the completely spin-polarised homogeneous electron fluid. Again, an exact relation is then established, but now at T = 0, for such a Fermion fluid, where only Pauli principle repulsions exist between all the electrons. A possible generalisation to embrace additional electron-electron Coulombic repulsions is thereby conjectured.
Keywords: pair density; triplet correlation function; uniform electron fluid
Document Type: Research Article
Affiliations: 1: Dipartimento di Chimica e Chimica Industriale, Universita di Pisa, Pisa, Italy 2: Department of Physics, University of Antwerp, Antwerpen, Belgium,Oxford University, Oxford, England 3: Department of Theoretical Physics, University of Debrecen, Debrecen, Hungary
Publication date: 01 February 2009
- Access Key
- Free content
- Partial Free content
- New content
- Open access content
- Partial Open access content
- Subscribed content
- Partial Subscribed content
- Free trial content