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- W2161716478 abstract "We derive the expression V (x)u(x) = c-(x i a) + v(x)u(x) (where V (x) is the potential, u(x) the wave function, c a constant and v(x) a finite potential function for xa), which is present in the one-dimensional Schr ¨ odinger equation on the whole real line when we have an impenetrable barrier at x ‚ a, that is, an infinite step potential there. By studying the solution of this equation, we identify, connect and discuss three different Hamiltonian operators that describe the barrier. We extend these results by constructing an infinite square-well potential from two impenetrable barriers. odinger equation; impenetrable barriers. Derivamos la expresi´ on V (x)u(x) = c-(x i a) + v(x)u(x) (donde V (x) es el potencial, u(x) la funci ´ on de onda, c una constante y v(x) una funcipotencial finita para xa), la cual se presenta en la ecuaci ´ on de Schr¨ odinger unidimensional sobre toda la lreal cuando se tiene una barrera impenetrable en x ‚ a, es decir, un potencial salto infinito allEstudiando la soluci´ on de esta ecuaciidentificamos, conectamos y discutimos tres diferentes operadores hamiltonianos que describen la barrera. Extendemos estos resultados al construir un potencial de pozo cuadrado infinito a partir de dos barreras impenetrables. Descriptores: Mec´ anica cuecuaci ´ on de Schr¨ odinger; barreras impenetrables." @default.
- W2161716478 created "2016-06-24" @default.
- W2161716478 creator A5039638574 @default.
- W2161716478 date "2008-01-06" @default.
- W2161716478 modified "2023-09-22" @default.
- W2161716478 title "Impenetrable barriers in quantum mechanics" @default.
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