Confined Quantum Hard Spheres |
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Authors: | Sergio Contreras Alejandro Gil-Villegas |
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Affiliation: | División de Ciencias e Ingenierías, Campus León, Universidad de Guanajuato, Loma del Bosque 103, Lomas del Campestre, León, Guanajuato 37150, Mexico; |
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Abstract: | We present computer simulation and theoretical results for a system of N Quantum Hard Spheres (QHS) particles of diameter and mass m at temperature T, confined between parallel hard walls separated by a distance , within the range . Semiclassical Monte Carlo computer simulations were performed adapted to a confined space, considering effects in terms of the density of particles , where V is the accessible volume, the inverse length and the de Broglie’s thermal wavelength , where k and h are the Boltzmann’s and Planck’s constants, respectively. For the case of extreme and maximum confinement, and , respectively, analytical results can be given based on an extension for quantum systems of the Helmholtz free energies for the corresponding classical systems. |
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Keywords: | hard spheres perturbation theory quantum fluids quantum Monte Carlo |
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