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On the level spacing distribution in quantum graphs

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arxiv quant-ph/0011099 v1 pith:UQJG55V3 submitted 2000-11-24 quant-ph cond-matnlin.CD

classification quant-phcond-matnlin.CD
keywords distributiongraphslevelquantumspacingderiveformulaapplication
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We derive a formula for the level spacing probability distribution in quantum graphs. We apply it to simple examples and we discuss its relation with previous work and its possible application in more general cases. Moreover, we derive an exact and explicit formula for the level spacing distribution of integrable quantum graphs.

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