Electronic Levels of Quantum Dots: A Variational Approach : Condensed Matter: Electronic Properties, etc.
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概要
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We introduce an efficient variational method to solve the three-dimensional Schrodinger equation for any arbitrary potential V(x, y, z). The method uses a basis set of localized functions which are build up as a product of three one-dimensional cubic β-splines. We have analysed the accuracy of such a method by studying some exact 3D potentials: the harmonic oscillator, the hydrogen atom and the quantum box. Finally, we have calculated energy levels of GaA_S/AIGaA_S cubic quantum dots and make a comparison with the ones resulting from two well known simplification schemes based in a decomposition of the full potential problem into three separated one-dimensional problems. We show that the scheme making a sequential decomposition gives eingenvalues in better agreement with exact values here obtained variationally.
- 社団法人日本物理学会の論文
- 2000-12-15
著者
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Sanchez-dehesa Jose6
Departamento De Fisica Teorica De La Materia Condensada.facultad De Ciencias(c-v).universidad Autono
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Marques Gilmar
Universidade Federal De Sao Carlos Departamento De Fisica
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ARISITONE Flavio
Universidade Federal de Mato Grosso do Sul, Departamento de Fisica
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Arisitone Flavio
Universidade Federal De Mato Grosso Do Sul Departamento De Fisica
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Aristone Flavio
Universidade Federal de Mato Grosso do Sul, Departamento de Fisica
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Sanchez-Dehesa Jose
Departamento de Fisica Teorica de la Materia Condensada.Facultad de Ciencias(C-V).Universidad Autonoma de Madrid