Solving Schrödinger equation by meshless methods



Document title: Solving Schrödinger equation by meshless methods
Journal: Revista mexicana de física E
Database: PERIÓDICA
System number: 000407864
ISSN: 1870-3542
Authors: 1
1
1
2
3
4
Institutions: 1Universidad de Antioquia, Facultad de Ciencias Exactas y Naturales, Medellín, Antioquia. Colombia
2Universidad EIA, Envigado, Antioquia. Colombia
3Universidad Autónoma del Estado de Morelos, Instituto de Investigación en Ciencias Básicas y Aplicadas, Cuernavaca, Morelos. México
4Universidad de Antioquia, Facultad de Ciencias Exactas y Naturales, Medellín, Antioquia. Colombia
Year:
Season: Jul-Dic
Volumen: 62
Number: 2
Pages: 96-107
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, descriptivo
English abstract In this paper we apply a numerical meshless scheme for solving one and two dimensional time independent Schrodinger equation by means of collocation method with Radial Basis Functions interpolants. In particular we approximate the solutions using multiquadrics. The method is tested with some of the well-known configurations of Schrodinger equation and compared with analytical solutions, showing a great accuracy and stability. We also provide some insight on how to use meshless algorithms for obtaining the eigenenergies and wavefunctions of one- and two-dimensional Schrodinger problems
Disciplines: Física y astronomía,
Educación
Keyword: Física de partículas y campos cuánticos,
Educación superior,
Mecánica cuántica,
Ecuación de Schrodinger,
Puntos cuánticos,
Propiedades ópticas,
Pozos cuánticos,
Enseñanza de la física
Keyword: Physics and astronomy,
Education,
Particle physics and quantum fields,
Higher education,
Quantum mechanics,
Schrodinger equation,
Quantum dots,
Optical properties,
Quantum wells,
Physics education
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