paper

Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited

arXiv:2206.14482 · doi:10.1088/1751-8121/ac92ab

Abstract

We survey sum rules for spectral zeta functions of homogeneous 1D Schrödinger operators, that mainly result from the exact WKB method.

arXiv comment14 pages, 1 figure, 4 tables. In honour of Prof. M.V. BERRY's 80-th birthday. V2: new eqs.(32), (33), (35) added. V3: added text in Secs.1.2 and 3.3, new eq.(30), numerical Appendix