Wang, Yongjian; Xia, Xu; You, Jiangong; Zheng, Zuohuan; Zhou, Qi Exact mobility edges for 1D quasiperiodic models. (English) Zbl 07719628 Commun. Math. Phys. 401, No. 3, 2521-2567 (2023). MSC: 47Bxx 81Qxx 34Lxx PDFBibTeX XMLCite \textit{Y. Wang} et al., Commun. Math. Phys. 401, No. 3, 2521--2567 (2023; Zbl 07719628) Full Text: DOI arXiv
Mograby, Gamal; Balu, Radhakrishnan; Okoudjou, Kasso A.; Teplyaev, Alexander Spectral decimation of a self-similar version of almost Mathieu-type operators. (English) Zbl 1508.34080 J. Math. Phys. 63, No. 5, Article ID 053501, 21 p. (2022). MSC: 34K08 34L05 26A33 47E07 47B39 39A70 34B40 PDFBibTeX XMLCite \textit{G. Mograby} et al., J. Math. Phys. 63, No. 5, Article ID 053501, 21 p. (2022; Zbl 1508.34080) Full Text: DOI arXiv
de Oliveira, César R.; Rocha, Vinícius L. Bidimensional honeycomb materials: a graph model through Dirac operator. (English) Zbl 07538763 Rep. Math. Phys. 89, No. 2, 231-252 (2022). MSC: 81Q10 34L40 47E05 81U30 PDFBibTeX XMLCite \textit{C. R. de Oliveira} and \textit{V. L. Rocha}, Rep. Math. Phys. 89, No. 2, 231--252 (2022; Zbl 07538763) Full Text: DOI
Ge, Lingrui; Zhao, Xin Exponential dynamical localization in expectation for the one dimensional Anderson model. (English) Zbl 1460.81027 J. Spectr. Theory 10, No. 3, 887-904 (2020). MSC: 81Q10 34D08 47B39 81Q35 82B20 PDFBibTeX XMLCite \textit{L. Ge} and \textit{X. Zhao}, J. Spectr. Theory 10, No. 3, 887--904 (2020; Zbl 1460.81027) Full Text: DOI
Koch, Hans; Kocić, Saša Renormalization and universality of the Hofstadter spectrum. (English) Zbl 1464.37049 Nonlinearity 33, No. 9, 4381-4389 (2020). MSC: 37E20 37E10 37C27 34L40 47A10 PDFBibTeX XMLCite \textit{H. Koch} and \textit{S. Kocić}, Nonlinearity 33, No. 9, 4381--4389 (2020; Zbl 1464.37049) Full Text: DOI arXiv
Sur, Saikat; Ghosh, Anupam Quantum counterpart of measure synchronization: a study on a pair of Harper systems. (English) Zbl 1448.34110 Phys. Lett., A 384, No. 8, Article ID 126176, 12 p. (2020). MSC: 34D06 81P42 81P40 PDFBibTeX XMLCite \textit{S. Sur} and \textit{A. Ghosh}, Phys. Lett., A 384, No. 8, Article ID 126176, 12 p. (2020; Zbl 1448.34110) Full Text: DOI arXiv
Pikulin, S. V. Analytical-numerical method for calculating the Thomas-Fermi potential. (English) Zbl 1437.34026 Russ. J. Math. Phys. 26, No. 4, 544-552 (2019). Reviewer: Abdullah Özbekler (Ankara) MSC: 34A45 34B16 34B40 34A05 PDFBibTeX XMLCite \textit{S. V. Pikulin}, Russ. J. Math. Phys. 26, No. 4, 544--552 (2019; Zbl 1437.34026) Full Text: DOI
Pikulin, S. V. The Thomas-Fermi problem and solutions of the Emden-Fowler equation. (English. Russian original) Zbl 1430.34031 Comput. Math. Math. Phys. 59, No. 8, 1292-1313 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 8, 1358-1380 (2019). MSC: 34B16 34A25 34A05 34A34 PDFBibTeX XMLCite \textit{S. V. Pikulin}, Comput. Math. Math. Phys. 59, No. 8, 1292--1313 (2019; Zbl 1430.34031); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 8, 1358--1380 (2019) Full Text: DOI
Parand, Kourosh; Delkhosh, Mehdi Accurate solution of the Thomas-Fermi equation using the fractional order of rational Chebyshev functions. (English) Zbl 1362.34039 J. Comput. Appl. Math. 317, 624-642 (2017). MSC: 34B16 34B40 34A45 65L10 65L60 PDFBibTeX XMLCite \textit{K. Parand} and \textit{M. Delkhosh}, J. Comput. Appl. Math. 317, 624--642 (2017; Zbl 1362.34039) Full Text: DOI
Theotokoglou, Efstathios E.; Zarmpoutis, Theodoros I.; Stampouloglou, Ioannis H. Closed-form solutions of the Thomas-Fermi in heavy atoms and the Langmuir-blodgett in current flow ODEs in mathematical physics. (English) Zbl 1394.34029 Math. Probl. Eng. 2015, Article ID 721637, 8 p. (2015). MSC: 34A34 34A05 PDFBibTeX XMLCite \textit{E. E. Theotokoglou} et al., Math. Probl. Eng. 2015, Article ID 721637, 8 p. (2015; Zbl 1394.34029) Full Text: DOI
Amore, Paolo; Boyd, John P.; Fernández, Francisco M. Accurate calculation of the solutions to the Thomas-Fermi equations. (English) Zbl 1410.81015 Appl. Math. Comput. 232, 929-943 (2014). MSC: 81Q05 34L40 PDFBibTeX XMLCite \textit{P. Amore} et al., Appl. Math. Comput. 232, 929--943 (2014; Zbl 1410.81015) Full Text: DOI arXiv
Bodyfelt, J. D.; Laptyeva, T. V.; Gligoric, G.; Krimer, D. O.; Skokos, Ch.; Flach, S. Wave interactions in localizing media – a coin with many faces. (English) Zbl 1248.34135 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 8, 2107-2124 (2011). MSC: 34L40 35Q55 37K60 82B44 PDFBibTeX XMLCite \textit{J. D. Bodyfelt} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 8, 2107--2124 (2011; Zbl 1248.34135) Full Text: DOI arXiv
Turbiner, Alexander Anharmonic oscillator and double-well potential: Approximating eigenfunctions. (English) Zbl 1092.34049 Lett. Math. Phys. 74, No. 2, 169-180 (2005). Reviewer: Vadim Komkov (Florida) MSC: 34L40 34B08 41A99 PDFBibTeX XMLCite \textit{A. Turbiner}, Lett. Math. Phys. 74, No. 2, 169--180 (2005; Zbl 1092.34049) Full Text: DOI arXiv
Exner, P. A duality between Schrödinger operators on graphs and certain Jacobi matrices. (English) Zbl 0949.34073 Ann. Inst. Henri Poincaré, Phys. Théor. 66, No. 4, 359-371 (1997). Reviewer: M.Shahin (Dallas) MSC: 34L40 81Q05 34B45 PDFBibTeX XMLCite \textit{P. Exner}, Ann. Inst. Henri Poincaré, Phys. Théor. 66, No. 4, 359--371 (1997; Zbl 0949.34073) Full Text: arXiv Numdam EuDML
Mironov, A. L.; Oleinik, V. L. Limits of applicability of the tight binding approximation. (English. Russian original) Zbl 0849.34073 Theor. Math. Phys. 99, No. 1, 457-469 (1994); translation from Teor. Mat. Fiz. 99, No. 1, 103-120 (1994). MSC: 34L40 81Q05 PDFBibTeX XMLCite \textit{A. L. Mironov} and \textit{V. L. Oleinik}, Theor. Math. Phys. 99, No. 1, 457--469 (1994; Zbl 0849.34073); translation from Teor. Mat. Fiz. 99, No. 1, 103--120 (1994) Full Text: DOI
Last, Y. Zero measure spectrum for the almost Mathieu operator. (English) Zbl 0814.11040 Commun. Math. Phys. 164, No. 2, 421-432 (1994). Reviewer: M.M.Dodson (Heslington) MSC: 11K55 34L05 37J99 70H99 PDFBibTeX XMLCite \textit{Y. Last}, Commun. Math. Phys. 164, No. 2, 421--432 (1994; Zbl 0814.11040) Full Text: DOI
Christley, J. A.; Thompson, I. J. CRCWFN: Coupled real Coulomb wavefunctions. (English) Zbl 0878.65067 Comput. Phys. Commun. 79, No. 1, 143-155 (1994). MSC: 65L10 34L40 34B15 PDFBibTeX XMLCite \textit{J. A. Christley} and \textit{I. J. Thompson}, Comput. Phys. Commun. 79, No. 1, 143--155 (1994; Zbl 0878.65067) Full Text: DOI
Mandelshtam, V. A.; Zhitomirskaya, S. Ya. 1\(D\)-quasiperiodic operators. Latent symmetries. (English) Zbl 0735.34071 Commun. Math. Phys. 139, No. 3, 589-604 (1991). MSC: 34L40 34L05 34C27 47E05 PDFBibTeX XMLCite \textit{V. A. Mandelshtam} and \textit{S. Ya. Zhitomirskaya}, Commun. Math. Phys. 139, No. 3, 589--604 (1991; Zbl 0735.34071) Full Text: DOI
Tolsma, L. D.; Veltkamp, G. W. Measuring the accuracy of the solution subspace obtained by numerical integration of the Schrödinger equation. (English) Zbl 0664.65089 Comput. Phys. Commun. 40, No. 2-3, 233-262 (1986). MSC: 65L10 34B05 35B30 81Q05 81U20 PDFBibTeX XMLCite \textit{L. D. Tolsma} and \textit{G. W. Veltkamp}, Comput. Phys. Commun. 40, No. 2--3, 233--262 (1986; Zbl 0664.65089) Full Text: DOI
Vikhnina, G. V.; Pekar, V. S. Excited states in logarithmic perturbation theory. (English. Russian original) Zbl 0623.34009 Theor. Math. Phys. 68, 740-743 (1986); translation from Teor. Mat. Fiz. 68, No. 1, 155-159 (1986). Reviewer: P.Habets MSC: 34A25 34D10 34E10 PDFBibTeX XMLCite \textit{G. V. Vikhnina} and \textit{V. S. Pekar}, Theor. Math. Phys. 68, 740--743 (1986; Zbl 0623.34009); translation from Teor. Mat. Fiz. 68, No. 1, 155--159 (1986) Full Text: DOI
Rogers, George W. Riccati equations and perturbation expansions in quantum mechanics. (English) Zbl 0586.34048 J. Math. Phys. 26, 567-575 (1985). MSC: 34E10 34D10 81Q05 PDFBibTeX XMLCite \textit{G. W. Rogers}, J. Math. Phys. 26, 567--575 (1985; Zbl 0586.34048) Full Text: DOI
Clark, R. A. Asymptotic solutions of a nonhomogeneous differential equation with a turning point. (English) Zbl 0111.08402 Arch. Ration. Mech. Anal. 12, 34-51 (1963). Reviewer: N. P. Bhatia MSC: 34Exx PDFBibTeX XMLCite \textit{R. A. Clark}, Arch. Ration. Mech. Anal. 12, 34--51 (1963; Zbl 0111.08402) Full Text: DOI