Exact sum rules for spectral zeta functions of homogeneous 1D quantum oscillators, revisited
Abstract
We survey sum rules for spectral zeta functions of homogeneous 1D Schrödinger operators, that mainly result from the exact WKB method.
 Publication:

arXiv eprints
 Pub Date:
 June 2022
 arXiv:
 arXiv:2206.14482
 Bibcode:
 2022arXiv220614482V
 Keywords:

 Mathematical Physics;
 Mathematics  Spectral Theory;
 Quantum Physics;
 81Q10;
 34L05;
 34M60;
 47B93
 EPrint:
 14 pages, 1 figure, 4 tables. In honour of Prof. M.V. BERRY's 80th birthday. V2: new eqs.(32), (33), (35) added. V3: added text in Secs.1.2 and 3.3, new eq.(30), numerical Appendix