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• W3100703677 startingPage "195101" @default.
• W3100703677 abstract "We characterise the eigenfunctions of an equilateral triangle billiard in terms of its nodal domains. The number of nodal domains has a quadratic form in terms of the quantum numbers, with a non-trivial number-theoretic factor. The patterns of the eigenfunctions follow a group-theoretic connection in a way that makes them predictable as one goes from one state to another. Extensive numerical investigations bring out the distribution functions of the mode number and signed areas. The statistics of the boundary intersections is also treated analytically. Finally, the distribution functions of the nodal loop count and the nodal counting function are shown to contain information about the classical periodic orbits using the semiclassical trace formula. We believe that the results belong generically to non-separable systems, thus extending the previous works which are concentrated on separable and chaotic systems." @default.
• W3100703677 created "2020-11-23" @default.
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• W3100703677 date "2014-04-28" @default.
• W3100703677 modified "2023-09-25" @default.
• W3100703677 title "Nodal domains of the equilateral triangle billiard" @default.
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• W3100703677 doi "https://doi.org/10.1088/1751-8113/47/19/195101" @default.
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