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- W2277388887 abstract "We examine the one-dimensional quantum dynamics of a Schroedinger particle in a potential represented by a generalized function of the form $U(x) = -alpha delta (x) + beta d(delta (x))/dx$ superposed on a well behaved potential $V(x)$. In this, we construct the full, exact Green's function for such a 1D system analytically in closed form, taking account of a spatially variable mass $m(x)$. Our result shows that there can be no electron transmission through the $beta delta '(x)$- potential, regardless of the presence of the $V(x)$- potential and $alpha delta (x)$, (with $alpha ne 0$)." @default.
- W2277388887 created "2016-06-24" @default.
- W2277388887 creator A5065874257 @default.
- W2277388887 date "2014-11-25" @default.
- W2277388887 modified "2023-09-27" @default.
- W2277388887 title "Quantum Particle Dynamics in a Highly Singular 1D-Potential $U(x) = -alpha delta(x) + beta delta'(x)$ Superposed on a Well-Behaved One" @default.
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- W2277388887 hasPublicationYear "2014" @default.
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