we have used a variational approach to calculate some thermodynamic properties of the quasi-one dimensional liquid 3he such as the energy, entropy, free energy, equation of state and heat capacity at finite temperature. we have employed the lennard-jones potential as the inter-atomic interaction. we have seen that the total energy increases by increasing both temperature and density. as expecte...

A model for quantum gravity in one (time) dimension is discussed, based on Regge's discrete formulation of gravity. The nature of exact continuous lattice diffeomorphisms and the implications for a regularized gravitational measure are examined. After introducing a massless scalar field coupled to the edge lengths, the scalar functional integral is performed exactly on a finite lattice, and the...

This paper describes a simple model of a star where compressibility is retained but the gravitational force is replaced by a force between pairs which is directed along their line of centres and proportional to their separation. This force was analysed by Newton. It may be considered the simplest many body force because the system reduces to a set of independent particles moving in a harmonic o...