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Zeta-regularisation for exact-WKB resolution of a general 1D Schr\"odinger equation

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abstract

We review an exact analytical resolution method for general one-dimensional (1D) quantal anharmonic oscillators: stationary Schr\"odinger equations with polynomial potentials. It is an exact form of WKB treatment involving spectral (usual) vs "classical" (newer) zeta-regularisations in parallel. The central results are a set of Bohr--Sommerfeld-like but exact quantisation conditions, directly drawn from Wronskian identities, and appearing to extend Bethe-Ansatz formulae of integrable systems. Such exact quantisation conditions do not just select the eigenvalues; some evaluate the spectral determinants, and others the wavefunctions, for the spectral parameter in general position.

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Template masks for 4D-STEM

physics.ins-det · 2025-08-08 · unverdicted · novelty 4.0

A template-to-mask correlation imaging method for 4D-STEM is claimed in the abstract, but the supplied full text is an unrelated hep-th paper, leaving the claim unverifiable.

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  • Template masks for 4D-STEM physics.ins-det · 2025-08-08 · unverdicted · none · ref 94 · internal anchor

    A template-to-mask correlation imaging method for 4D-STEM is claimed in the abstract, but the supplied full text is an unrelated hep-th paper, leaving the claim unverifiable.