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- W2024882584 abstract "Motivated by a recently advanced conjecture on the ergodic properties of Quantum Systems, the problem of solving the Schrödinger equation for a free particle in a plane polygonal enclosure is revisited. It will be shown that two elementary lemmas suffice to give a complete characterization of the polygons for which a solution can be found in terms of a finite superposition of plane waves, without making use of advanced group-theoretical techniques. It turns out, inter alia, that these polygons, considered as classical billiards, are all and only those which are completely integrable in the sense of Arnold’s theorem." @default.
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- W2024882584 date "1991-09-01" @default.
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- W2024882584 title "Schrödinger equation for convex plane polygons: A tiling method for the derivation of eigenvalues and eigenfunctions" @default.
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