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- W2022172213 abstract "The one-dimensional Schrödinger equation with the point potential in the form of the derivative of Dirac's delta function, λδ′(x) with λ being a coupling constant, is investigated. This equation is known to require an extension to the space of wave functions ψ(x) discontinuous at the origin under the two-sided (at x=±0) boundary conditions given through the transfer matrix (A00A−1) where A=2+λ2−λ. However, the recent studies, where a resonant non-zero transmission across this potential has been established to occur on discrete sets {λn}n=1∞ in the λ-space, contradict to these boundary conditions used widely by many authors. The present communication aims at solving this discrepancy using a more general form of boundary conditions." @default.
- W2022172213 created "2016-06-24" @default.
- W2022172213 creator A5080173329 @default.
- W2022172213 date "2010-04-01" @default.
- W2022172213 modified "2023-09-23" @default.
- W2022172213 title "Boundary conditions for the states with resonant tunnelling across the -potential" @default.
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- W2022172213 doi "https://doi.org/10.1016/j.physleta.2010.02.005" @default.
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