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Sintonização de estados quânticos: um estudo numérico do oscilador harmônico quântico

2012; Brazilian Chemical Society; Volume: 35; Issue: 8 Linguagem: Inglês

10.1590/s0100-40422012000800033

1678-7064

Leandro de Abreu, Alejandro López‐Castillo,

Chemistry Education and Research

OF THE QUANTUM HARMONIC OSCILLATOR.The quantum harmonic oscillator is described by the Hermite equation. 1The asymptotic solution is predominantly used to obtain its analytical solutions.Wave functions (solutions) are quadratically integrable if taken as the product of the convergent asymptotic solution (Gaussian function) and Hermite polynomial, 1 whose degree provides the associated quantum number.Solving it numerically, quantization is observed when a control real variable is "tuned" to integer values.This can be interpreted by graphical reading of Y(x) and |Y(x)| 2 , without other mathematical analysis, and prove useful for teaching fundamentals of quantum chemistry to undergraduates.