The standard topological approach to indistinguishable particles formulates exchange statistics by using the fundamental group analyze connectedness of configuration space. Although successful in two and more dimensions, this gives only trivial or near one dimension because two-body coincidences are excluded from Instead, we include these path-ambiguous singular points consider space as an orbi...

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....