Kaye, Jason; Strand, Hugo U. R. A fast time domain solver for the equilibrium Dyson equation. (English) Zbl 07726221 Adv. Comput. Math. 49, No. 4, Paper No. 63, 26 p. (2023). MSC: 65R20 45D05 45J05 81V70 PDFBibTeX XMLCite \textit{J. Kaye} and \textit{H. U. R. Strand}, Adv. Comput. Math. 49, No. 4, Paper No. 63, 26 p. (2023; Zbl 07726221) Full Text: DOI arXiv
Lienert, Matthias; Tumulka, Roderich A new class of Volterra-type integral equations from relativistic quantum physics. (English) Zbl 1445.45005 J. Integral Equations Appl. 31, No. 4, 535-569 (2019). MSC: 45D05 45E99 81Q40 PDFBibTeX XMLCite \textit{M. Lienert} and \textit{R. Tumulka}, J. Integral Equations Appl. 31, No. 4, 535--569 (2019; Zbl 1445.45005) Full Text: DOI arXiv Euclid
Carlone, Raffaele; Correggi, Michele; Tentarelli, Lorenzo Well-posedness of the two-dimensional nonlinear Schrödinger equation with concentrated nonlinearity. (English) Zbl 1410.35196 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 1, 257-294 (2019). MSC: 35Q55 81Q05 35B25 35A01 35A02 35B44 45D05 PDFBibTeX XMLCite \textit{R. Carlone} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 1, 257--294 (2019; Zbl 1410.35196) Full Text: DOI arXiv
Carlone, Raffaele; Figari, Rodolfo; Negulescu, Claudia The quantum beating and its numerical simulation. (English) Zbl 1376.81077 J. Math. Anal. Appl. 450, No. 2, 1294-1316 (2017). MSC: 81V55 81Q05 42A38 81-08 35Q55 45D05 65D30 35B44 PDFBibTeX XMLCite \textit{R. Carlone} et al., J. Math. Anal. Appl. 450, No. 2, 1294--1316 (2017; Zbl 1376.81077) Full Text: DOI arXiv
Aricò, Antonio; van der Mee, Cornelis; Seatzu, Sebastiano Structured matrix numerical solution of the nonlinear Schrödinger equation by the inverse scattering transform. (English) Zbl 1177.35214 Electron. J. Differ. Equ. 2009, Paper No. 15, 21 p. (2009). MSC: 35Q55 65M32 45D05 81U40 PDFBibTeX XMLCite \textit{A. Aricò} et al., Electron. J. Differ. Equ. 2009, Paper No. 15, 21 p. (2009; Zbl 1177.35214) Full Text: EuDML EMIS
Sharma, Shambhu N.; Parthasarathy, H. Volterra series arising from the discrete Schrödinger wave equation in \(L^{2}[a, b]\) space. (English) Zbl 1132.35478 Appl. Math. Comput. 196, No. 2, 563-569 (2008). MSC: 35Q55 45D05 81Q05 93C20 PDFBibTeX XMLCite \textit{S. N. Sharma} and \textit{H. Parthasarathy}, Appl. Math. Comput. 196, No. 2, 563--569 (2008; Zbl 1132.35478) Full Text: DOI
Masujima, Michio Applied mathematical methods in theoretical physics. (English) Zbl 1073.45001 Weinheim: Wiley-VCH (ISBN 3-527-40534-8/hbk). xii, 377 p. (2005). Reviewer: Bogdan Sasu (Timişoara) MSC: 45-01 45N05 45A05 45B05 45D05 45Exx 45Gxx 46-01 47-01 49J22 81Q30 81T13 81T18 00A06 82C70 PDFBibTeX XMLCite \textit{M. Masujima}, Applied mathematical methods in theoretical physics. Weinheim: Wiley-VCH (2005; Zbl 1073.45001)
Anikonov, D. S.; Konovalova, D. S. Compton effect in transport theory. (Russian) Zbl 1083.78004 Dokl. Akad. Nauk, Ross. Akad. Nauk 398, No. 4, 462-465 (2004). Reviewer: Andrei Zemskov (Moskva) MSC: 78A40 45D05 81V45 PDFBibTeX XMLCite \textit{D. S. Anikonov} and \textit{D. S. Konovalova}, Dokl. Akad. Nauk, Ross. Akad. Nauk 398, No. 4, 462--465 (2004; Zbl 1083.78004)
Kang, Sheon-Young Volterra method for the radial Schrödinger equation. (English) Zbl 1055.65091 J. Comput. Appl. Math. 169, No. 2, 277-296 (2004). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L10 65L12 65R20 45D05 81Q05 34L40 34B05 PDFBibTeX XMLCite \textit{S.-Y. Kang}, J. Comput. Appl. Math. 169, No. 2, 277--296 (2004; Zbl 1055.65091) Full Text: DOI
Ramm, Alexander G. A counterexample to a uniqueness result. (English) Zbl 1031.45002 Appl. Anal. 81, No. 4, 833-836 (2002). MSC: 45D05 81U40 PDFBibTeX XMLCite \textit{A. G. Ramm}, Appl. Anal. 81, No. 4, 833--836 (2002; Zbl 1031.45002) Full Text: DOI Link
Dell’Antonio, G. F.; Figari, R.; Teta, A. The Schrödinger equation with moving point interactions in three dimensions. (English) Zbl 0974.81014 Gesztesy, Fritz (ed.) et al., Stochastic processes, physics and geometry: New interplays. I. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18-22, 1999. Providence, RI: American Mathematical Society (AMS). CMS Conf. Proc. 28, 99-113 (2000). Reviewer: Vladislav Kravchenko (México) MSC: 81Q10 81Q05 81V99 45D05 PDFBibTeX XMLCite \textit{G. F. Dell'Antonio} et al., CMS Conf. Proc. 28, 99--113 (2000; Zbl 0974.81014) Full Text: arXiv
Lassaut, M.; Lombard, R. J. A sufficient condition for the existence of bound states for scalar spherically symmetric potentials. (English) Zbl 0930.34070 J. Phys. A, Math. Gen. 30, No. 7, 2467-2481 (1997). Reviewer: N.D.Sengupta (Bombay) MSC: 34L40 81U05 34L15 81Q10 PDFBibTeX XMLCite \textit{M. Lassaut} and \textit{R. J. Lombard}, J. Phys. A, Math. Gen. 30, No. 7, 2467--2481 (1997; Zbl 0930.34070) Full Text: DOI
Bui Doan Khanh A numerical resolution of the Gelfand-Levitan equation. (Une résolution numérique de l’équation de Gelfand-Levitan.) (French. English summary) Zbl 0836.65148 C. R. Acad. Sci., Paris, Sér. I 321, No. 5, 627-630 (1995). MSC: 65R20 45D05 81U40 PDFBibTeX XMLCite \textit{Bui Doan Khanh}, C. R. Acad. Sci., Paris, Sér. I 321, No. 5, 627--630 (1995; Zbl 0836.65148)
Kincanon, Eric Approximate solution to the Gel’fand-Levitan equation. (English) Zbl 0765.65125 Appl. Math. Comput. 53, No. 2-3, 121-128 (1993). Reviewer: I.Grosu (Iaşi) MSC: 65R20 81U40 45H05 45D05 PDFBibTeX XMLCite \textit{E. Kincanon}, Appl. Math. Comput. 53, No. 2--3, 121--128 (1993; Zbl 0765.65125) Full Text: DOI
Poliatzky, Nathan A method for solving the Schrödinger equation. (English) Zbl 0757.34068 J. Phys. A, Math. Gen. 25, No. 12, 3649-3666 (1992). MSC: 34L40 35Q55 81Q05 34A05 45D05 PDFBibTeX XMLCite \textit{N. Poliatzky}, J. Phys. A, Math. Gen. 25, No. 12, 3649--3666 (1992; Zbl 0757.34068) Full Text: DOI
Lapidus, Michel L. The Feynman-Kac formula with a Lebesgue-Stieltjes measure: An integral equation in the general case. (English) Zbl 0697.46017 Integral Equations Oper. Theory 12, No. 2, 163-210 (1989). Reviewer: W.Slowikowski MSC: 46G12 81S40 28C20 45D05 PDFBibTeX XMLCite \textit{M. L. Lapidus}, Integral Equations Oper. Theory 12, No. 2, 163--210 (1989; Zbl 0697.46017) Full Text: DOI
Sayapova, M. R.; Yafaev, D. R. The evolution operator for time-dependent potentials of zero radius. (English. Russian original) Zbl 0599.35035 Proc. Steklov Inst. Math. 159, 173-180 (1984); translation from Tr. Mat. Inst. Steklova 159, 167-174 (1983). MSC: 35J10 47A40 45D05 81U10 PDFBibTeX XMLCite \textit{M. R. Sayapova} and \textit{D. R. Yafaev}, Proc. Steklov Inst. Math. 159, 173--180 (1984; Zbl 0599.35035); translation from Tr. Mat. Inst. Steklova 159, 167--174 (1983)
Perla Menzala, Gustavo On a Hartree type equation: existence of regular solutions. (English) Zbl 0431.45009 Functional differential equations and bifurcation, Proc. Conf., Sao Carlos/Brazil 1979, Lect. Notes Math. 799, 277-288 (1980). MSC: 45K05 81Q05 45D05 35Q40 81V45 PDFBibTeX XML
Efimov, A. K.; Kupchishin, A. I.; Potanin, A. S. On the solution of the integro-differential equation for the flow of atoms knocked out in a material. (Russian) Zbl 0446.45010 Differential equations and their applications, Work Collect., Alma-Ata 1978, 31-36 (1978). MSC: 45K05 81V05 44A10 45D05 65R20 PDFBibTeX XML