The paper re-derives the 2012 second-order perturbative spectral sum rules of rational order via a new trace and fractional Green's function construction.
”A perturbative approach to the spectral zeta functions of strings, drums, and quantum billiards.” Journal of Mathematical Physics 53.12 (2012): 123519
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On the calculation of exact sum rules of rational order for quantum billiards
The paper re-derives the 2012 second-order perturbative spectral sum rules of rational order via a new trace and fractional Green's function construction.