Bohigas猜想适用于哪些系统?
To what systems does the Bohigas conjecture apply?
摘要:
我们测试的适用性的Bohigas猜想系统的哈密顿量不写为一个封闭的形式解析表达式。一类这样的哈密顿创建和似乎违反了猜想。数值方法被用来找到一个二维的,经典的混沌“台球”系统的哈密顿量是在这一类的频谱。我们发现谱涨落与猜想不一致。
英文摘要:
We test the applicability of the Bohigas conjecture to systems whose Hamiltonian is not written as a closed form analytic expression. A class of such Hamiltonians is created and appear to violate the conjecture. Numerical methods are employed to find the spectra of a two-dimensional, classically chaotic "billiard" system whose Hamiltonian is in this class. We find that the spectral fluctuations are not in agreement with the conjecture.
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