Abstract
The ground state and low excited states of liquid (and other fermion systems) can be constructed from a set of basis functions in which is the ground-state boson-type solution of the Schrödinger equation and the model functions are Slater determinants suitable for describing states of the noninteracting Fermion system. Diagonal and nondiagonal matrix elements of the identity and the Hamiltonian operator are evaluated by a cluster-expansion technique. An orthonormal basis system is constructed from and used to express the Hamiltonian operator in quasiparticle form: a large diagonal component containing constant, linear, quadratic, and cubic terms in free-quasiparticle occupation-number operators and a nondiagonal component representing the residual interactions involved in collisions of two and three free quasiparticles.
- Received 15 May 1964
DOI:https://doi.org/10.1103/PhysRev.137.A391
©1965 American Physical Society