Confined Quantum Hard Spheres.

We present computer simulation and theoretical results for a system of N Quantum Hard Spheres (QHS) particles of diameter σ and mass m at temperature T, confined between parallel hard walls separated by a distance H σ , within the range 1 ≤ H ≤ ∞ . Semiclassical Monte Carlo computer simulations were performed adapted to a confined space, considering effects in terms of the density of particles ρ * = N / V , where V is the accessible volume, the inverse length H − 1 and the de Broglie's thermal wavelength λ B = h / 2 π m k T , where k and h are the Boltzmann's and Planck's constants, respectively. For the case of extreme and maximum confinement, 0.5 < H − 1 < 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. [ABSTRACT FROM AUTHOR]