A moments' analysis of quasi-exactly solvable systems: a new perspective on the sextic potential $gx^6+bx^4+mx^2 +{\beta \over {x^2}}$

DOI10.1088/1751-8113/47/29/295203zbMath1295.81054arXiv1402.5868OpenAlexW2434256582MaRDI QIDQ2874762

Daniel Vrinceanu, Rahul Gupta, Carlos R. Handy

Publication date: 8 August 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5868

zbMATH Keywords

moment methodsquasi-exactly solvable systemssextic potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

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