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- W3103307514 abstract "It is well known that almost all eigenstates of a classically ergodic system are individually ergodic on coarse-grained scales. This has important implications for the quantization ambiguity in ergodic systems: the difference between alternative quantizations is suppressed compared with the O(ℏ2) ambiguity in the integrable or regular case. For two-dimensional ergodic systems in the high-energy regime, individual eigenstates are independent of the choice of quantization procedure, in contrast with the regular case, where even the ordering of eigenlevels is ambiguous. Surprisingly, semiclassical methods are shown to be much more precise in any dimension for chaotic than for integrable systems." @default.
- W3103307514 created "2020-11-23" @default.
- W3103307514 creator A5067373405 @default.
- W3103307514 date "2002-11-11" @default.
- W3103307514 modified "2023-09-27" @default.
- W3103307514 title "Quantization ambiguity, ergodicity and semiclassics" @default.
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- W3103307514 doi "https://doi.org/10.1088/1367-2630/4/1/390" @default.
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