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- W3196829801 abstract "We discuss a three-dimensional soft quantum waveguide, in other words, Schrodinger operator in $R^3$ with an attractive potential supported by an infinite tube and keeping its transverse profile fixed. We show that if the tube is asymptotically straight, the distance between its ends is unbounded, and its twist satisfies the so-called Tang condition, the esential spectrum is not affected by smooth bends. Furthermore, we derive a sufficient condition, expressed in terms of the tube geometry, for the discrete spectrum of such an operator to be nonempty." @default.
- W3196829801 created "2021-09-13" @default.
- W3196829801 creator A5063600060 @default.
- W3196829801 date "2022-04-01" @default.
- W3196829801 modified "2023-09-23" @default.
- W3196829801 title "Soft quantum waveguides in three dimensions" @default.
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- W3196829801 doi "https://doi.org/10.1063/5.0069284" @default.
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