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Estados ligados em um potencial delta duplo via transformadas seno e cosseno de Fourier (Bound states in a double delta potential via Fourier sine and cosine transforms)

Antonio S. de Castro

Recebido em 27/8/2013; Aceito em 16/1/2014; Publicado em 11/5/2014O problema de estados ligados em um potencial delta duplo ´e revisto com o uso do m´etodo das transformadasseno e cosseno de Fourier.Palavras-chave: duplo delta, estado ligado, transformadas seno e cosseno de Fourier.The problem of bound states in a double delta potential is revisited by means of Fourier sine and cosinetransforms.Keywords: double delta, bound state, Fourier sine and cosine transforms.

Jan 1, 20140 citations

Delta potentials revisited via Fourier transform

Antonio S. de Castro

The problem of bound states in delta potentials is revisited by means of Fourier transform approach. The problem in a simple delta potential sums up to solve an algebraic equation of degree one for the Fourier transform of the eigenfunction and the problem for more than one delta function also reveals itself to be a simple matter. Quite differently from direct methods, no knowledge about the jump discontinuity of the first derivative of the eigenfunction is required to determine the solution of the problem.The problem of bound states in delta potentials is revisited by means of Fourier transform approach. The problem in a simple delta potential sums up to solve an algebraic equation of degree one for the Fourier transform of the eigenfunction and the problem for more than one delta function also reveals itself to be a simple matter. Quite differently from direct methods, no knowledge about the jump discontinuity of the first derivative of the eigenfunction is required to determine the solution of the problem.

arXiv:1210.0204Sep 30, 20120 citations

Estados ligados em um potencial delta duplo via transformada de Laplace (Bound states in a double delta potential via Laplace transform)

Artigos Gerais, Antonio S. de Castro

Jan 1, 20120 citations

Bound states in a double delta potential via Laplace transform

Antonio S. de Castro

The problem of bound states in a double delta potential is revisited by means of Laplace transform method. Quite differently from direct methods, no knowledge about the jump discontinuity of the first derivative of the eigenfunction is required to determine the solution.

arXiv:1205.1097May 5, 20121 citation

Potenciais delta revisitados via transformada de Fourier (Delta potentials revisited via Fourier transform)

Antonio S. de Castro

The problem of bound states in delta potentials is revisited by means of Fourier transform approach. The problem in a simple delta potential sums up to solve an algebraic equation of degree one for the Fourier transform of the eigenfunction and the problem for more than one delta function also reveals itself to be a simple matter. Quite differently from direct methods, no knowledge about the jump discontinuity of the first derivative of the eigenfunction is required to determine the solution of the problem.The problem of bound states in delta potentials is revisited by means of Fourier transform approach. The problem in a simple delta potential sums up to solve an algebraic equation of degree one for the Fourier transform of the eigenfunction and the problem for more than one delta function also reveals itself to be a simple matter. Quite differently from direct methods, no knowledge about the jump discontinuity of the first derivative of the eigenfunction is required to determine the solution of the problem.

Jan 1, 20120 citations

One-Dimensional Relativistic Problems on the Bound States and Degradation for a Superposition of Two δ Potentials

V. N. Kapshaǐ, Tatjana Alferova

Russian Physics JournalJan 1, 20024 citations

Bound states in a double delta potential via Fourier sine and cosine transforms

Abstract

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Bound states in a double delta potential via Fourier sine and cosine transforms

Abstract

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