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...

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....

The notion of completeness in metric spaces and that of completing a metric space are traditionally discussed in terms of Cauchy sequences. The main reason being that this concept deals precisely with the issue of convergence of sequences in the sense that every convergent sequence is a Cauchy sequence. The paper deals with completion in a setting that avoids explicit reference to Cauchy sequen...

Electronic transport properties in a disordered quantum wire are very well described by the DorokhovMello-Pereyra-Kumar ~DMPK! equation, which describes the evolution of the transmission eigenvalues as a function of the length of a multichannel conductor. However, the DMPK equation is restricted to quasi-onedimensional systems only. We derive a generalized DMPK equation for higher dimensions, c...

In this paper, we introduce a new homological invariant called quasi-projective dimension, which is generalization of projective dimension. We discuss various properties Among other things, prove the following. (1) Over quotient regular local ring by sequence, every finitely generated module has finite (2) The Auslander--Buchsbaum formula and depth for modules dimension remain valid (3) Several...