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- W4300532550 abstract "Bloch theorem for a periodic operator is being revisited here, and we notice extra orthogonality relationships. It is shown that solutions are bi-periodic, in the sense that eigenfunctions are periodic with respect to one argument, and pseudo-periodic with respect to the other. An additional kind of symmetry between r-space and k-space exists between the envelope and eignfunctions not apparently noticed before, which allows to define new invertible modified Wannier functions. As opposed to the Wannier functions in r-space, these modified Wannier functions are defined in the k-spaces, but satisfy similar basic properties. These could result in new algorithms and other novel applications in the computational tools of periodic structures." @default.
- W4300532550 created "2022-10-03" @default.
- W4300532550 creator A5042477237 @default.
- W4300532550 date "2015-05-02" @default.
- W4300532550 modified "2023-09-29" @default.
- W4300532550 title "On the Bloch Theorem and Orthogonality Relations" @default.
- W4300532550 doi "https://doi.org/10.48550/arxiv.1505.00319" @default.
- W4300532550 hasPublicationYear "2015" @default.
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