Teramoto, Hiroshi; Kondo, Kenji; Izumiya, Shyūichi; Toda, Mikito; Komatsuzaki, Tamiki Erratum to: “Classification of Hamiltonians in neighborhoods of band crossings in terms of the theory of singularities”. (English) Zbl 1435.82029 J. Math. Phys. 60, No. 12, 129901, 2 p. (2019). From the text: In a recent paper, we reported the classification of Hamiltonians in neighborhoods of band crossings in terms of the theory of singularities. In the derivation in p. 31, Appendix B: Case \(D = 0\) in Sec. IV B 4, the 11th line from the top, we wrote, “In this case, we can show that \(a = b = 0\) by using a proof by contradiction.” However, this statement is not correct because if we put \((p_{21}, p_{22}, p_{23}) = (1, 0, 0)\) and \((p_{31}, p_{32}, p_{33}) = (0, 1, 0), Q(k_2, k_3) = 2k^2_2 \), we can find \(a, b \in \mathbb{R}\) in Eq. (B4). This error leads to an omission of the other possibilities which are now stated here.©2019 American Institute of PhysicsThis erratum concerns the authors’ paper [ibid. 58, No. 7, 073502, 39 p. (2017; Zbl 1370.82042)]. MSC: 82D20 Statistical mechanics of solids 82D37 Statistical mechanics of semiconductors 82D35 Statistical mechanics of metals 35P05 General topics in linear spectral theory for PDEs 81Q70 Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory Citations:Zbl 1370.82042 PDFBibTeX XMLCite \textit{H. Teramoto} et al., J. Math. Phys. 60, No. 12, 129901, 2 p. (2019; Zbl 1435.82029) Full Text: DOI References: [1] Teramoto, H.; Kondo, K.; Izumiya, S.; Toda, M.; Komatsuzaki, T., Classification of Hamiltonians in neighborhoods of band crossings in terms of the theory of singularities, J. Math. Phys., 58, 073502 (2017) · Zbl 1370.82042 [2] Teramoto, H., Tsuchida, A., Kondo, K., Izumiya, S., Toda, M., and Komatsuzaki, T., “Application of singularity theory to bifurcation of band structures in crystals,” J. Sing. (submitted). · Zbl 1370.82042 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.