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- W2068264512 abstract "The asymptotic-energy limit of the density P(S) of spacings between adjacent levels of the two-dimensional harmonic oscillator (TDHO) spectrum is studied. It is shown that in any integer segment (M, M+1), containing approximately M/α levels, of the TDHO spectrum m + αn, P(S) has the form Σ wi δ(S - Si) where i takes on at most three values. For large M, P(S) displays strong level repulsion for irrational α, but it does not settle on a stationary form nor does its average over M. This is in marked contrast with the behaviour of generic integrable systems for which the Poisson statistics, P(S)= exp(-S), is known to apply." @default.
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- W2068264512 date "1989-09-21" @default.
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- W2068264512 title "Level repulsion in the spectrum of two-dimensional harmonic oscillators" @default.
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- W2068264512 doi "https://doi.org/10.1088/0305-4470/22/18/039" @default.
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