Exact solutions in terms of Laguerre polynomials for wavefunctions and energy levels, plus Gegenbauer polynomials for the angular part in the non-canonical case, are obtained for an ideal 1D electron gas confined in an anisotropic quantum wire with position-dependent mass.
Statistical mechanics of one-dimensional sub stances i
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Impact of the non-canonical approach to the exact solution of the ideal one-dimensional electron gas confined with an anisotropic quantum wire of oscillator-shaped profile
Exact solutions in terms of Laguerre polynomials for wavefunctions and energy levels, plus Gegenbauer polynomials for the angular part in the non-canonical case, are obtained for an ideal 1D electron gas confined in an anisotropic quantum wire with position-dependent mass.