Confined Quantum Hard Spheres

We present computer simulation and theoretical results for a system of N Quantum Hard Spheres (QHS) particles of diameter sigma and mass m at temperature T, confined between parallel hard walls separated by a distance H sigma, within the range 1 <= H <=infinity. Semiclassical Monte Carlo computer simulations were performed adapted to a confined space, considering effects in terms of the density of particles rho*=N/V, where V is the accessible volume, the inverse length H-1 and the de Broglie's thermal wavelength lambda(B)=h/root 2 pi mkT, where k and h are the Boltzmann's and Planck's constants, respectively. For the case of extreme and maximum confinement, 0.5<1 and H-1=1, respectively, analytical results can be given based on an extension for quantum systems of the Helmholtz free energies for the corresponding classical systems.

Automated summary

Computer simulations and theoretical results of N Quantum Hard Spheres (QHS) particles show that analytical results can be provided for extreme and maximum confinement based on an extension of the Helmholtz free energies for classical systems.