Ögren, M.; Gulliksson, M. A numerical damped oscillator approach to constrained Schrödinger equations. (English) Zbl 07684323 Eur. J. Phys. 41, No. 6, Article ID 065406, 18 p. (2020). MSC: 70-XX 34-XX PDFBibTeX XMLCite \textit{M. Ögren} and \textit{M. Gulliksson}, Eur. J. Phys. 41, No. 6, Article ID 065406, 18 p. (2020; Zbl 07684323) Full Text: DOI arXiv
Sous, A. J. Eigenenergies of the Razavy potential \(V(x)=(\zeta \cosh 2x-M)^2\) theasymptotic iteration method. (English) Zbl 1140.81368 Mod. Phys. Lett. A 22, No. 22, 1677-1684 (2007). MSC: 81Q05 35Q55 PDFBibTeX XMLCite \textit{A. J. Sous}, Mod. Phys. Lett. A 22, No. 22, 1677--1684 (2007; Zbl 1140.81368) Full Text: DOI
Ben-Aryeh, Y. Geometric phases of two- and three-level atomic systems related to group theory. (English) Zbl 1127.81016 J. Mod. Opt. 54, No. 4, 565-578 (2007). MSC: 81Q70 78A25 81V80 81V45 PDFBibTeX XMLCite \textit{Y. Ben-Aryeh}, J. Mod. Opt. 54, No. 4, 565--578 (2007; Zbl 1127.81016) Full Text: DOI
Barakat, T.; Al-Dossary, O. M. The asymptotic iteration method for the eigenenergies of the asymmetrical quantum anharmonic oscillator potentials \(V(x)=\sum_{j=2}^{2\alpha}A_{j}x^{j}\). (English) Zbl 1107.81018 Int. J. Mod. Phys. A 22, No. 1, 203-212 (2007). MSC: 81Q05 81U15 PDFBibTeX XMLCite \textit{T. Barakat} and \textit{O. M. Al-Dossary}, Int. J. Mod. Phys. A 22, No. 1, 203--212 (2007; Zbl 1107.81018) Full Text: DOI
Nine, B.; Haif-Khaif, O.; Zerarka, A. The eigenenergies of the wave function through the non-variational Galerkin-\(B\)-spline approach. (English) Zbl 1100.81021 Appl. Math. Comput. 178, No. 2, 486-492 (2006). MSC: 81Q05 81-08 49M15 41A15 PDFBibTeX XMLCite \textit{B. Nine} et al., Appl. Math. Comput. 178, No. 2, 486--492 (2006; Zbl 1100.81021) Full Text: DOI
Nanayakkara, Asiri; Ranatunga, Nimali New quantization method for evaluation of eigenenergies. (English) Zbl 1015.81024 Int. J. Theor. Phys. 41, No. 7, 1355-1368 (2002). MSC: 81Q20 81Q05 81-08 PDFBibTeX XMLCite \textit{A. Nanayakkara} and \textit{N. Ranatunga}, Int. J. Theor. Phys. 41, No. 7, 1355--1368 (2002; Zbl 1015.81024) Full Text: DOI
Nanayakkara, Asiri; Abayaratne, Chula Semiclassical quantization of complex Henon-Heiles systems. (English) Zbl 0999.81024 Phys. Lett., A 303, No. 4, 243-248 (2002). MSC: 81Q20 PDFBibTeX XMLCite \textit{A. Nanayakkara} and \textit{C. Abayaratne}, Phys. Lett., A 303, No. 4, 243--248 (2002; Zbl 0999.81024) Full Text: DOI
Duras, Maciej M. Complex-valued second difference as a measure of stabilization of complex dissipative statistical systems: Girko ensemble. (English) Zbl 1072.82509 Boccaletti, S. (ed.) et al., Space-time chaos. Characterization, control and synchronization. Proceedings of the interdisciplinary school, Pamplona, Spain, June 19–23, 2000. Singapore: World Scientific (ISBN 981-02-4506-8/hbk). 45-52 (2001). MSC: 82B10 82D10 PDFBibTeX XMLCite \textit{M. M. Duras}, in: Space-time chaos. Characterization, control and synchronization. Proceedings of the interdisciplinary school, Pamplona, Spain, June 19--23, 2000. Singapore: World Scientific. 45--52 (2001; Zbl 1072.82509) Full Text: arXiv
Fendrik, A. J.; Sánchez, M. J. Towards an analytical formula for the eigenvalues of the Aharonov-Bohm annular billiard. (English) Zbl 1014.81020 J. Math. Phys. 42, No. 3, 996-1005 (2001). MSC: 81Q50 81S30 PDFBibTeX XMLCite \textit{A. J. Fendrik} and \textit{M. J. Sánchez}, J. Math. Phys. 42, No. 3, 996--1005 (2001; Zbl 1014.81020) Full Text: DOI
Braun, M.; Kartavtsev, O. I. Faddeev calculations for the three-electron quantum dot. (English) Zbl 0973.81565 Nucl. Phys. A 689, No. 1-2, 519-522 (2001). MSC: 81V70 PDFBibTeX XMLCite \textit{M. Braun} and \textit{O. I. Kartavtsev}, Nucl. Phys., A 689, No. 1--2, 519--522 (2001; Zbl 0973.81565) Full Text: DOI
Castro, Enrique; Martín, Pablo Eigenvalues of the Schrödinger equation with Coulomb potentials plus linear and harmonic radial terms. (English) Zbl 0964.34079 J. Phys. A, Math. Gen. 33, No. 30, 5321-5234 (2000). MSC: 34L40 81Q10 34L16 PDFBibTeX XMLCite \textit{E. Castro} and \textit{P. Martín}, J. Phys. A, Math. Gen. 33, No. 30, 5321--5234 (2000; Zbl 0964.34079) Full Text: DOI
Fendrik, A. J.; Sánchez, M. J. Semiclassical density of degeneracies in quantum regular systems. (English) Zbl 0991.81026 J. Phys. A, Math. Gen. 33, No. 12, 2345-2363 (2000). Reviewer: Emilio Elizalde (Barcelona) MSC: 81Q20 81-04 37N20 PDFBibTeX XMLCite \textit{A. J. Fendrik} and \textit{M. J. Sánchez}, J. Phys. A, Math. Gen. 33, No. 12, 2345--2363 (2000; Zbl 0991.81026) Full Text: DOI arXiv
Jamieson, M. J. Newton-Raphson/log-derivative method for finding eigenenergies. (English) Zbl 0974.65079 Comput. Phys. Commun. 125, No. 1-3, 193-195 (2000). Reviewer: Emil Minchev (Sofia) MSC: 65L15 65L20 34L16 34L30 PDFBibTeX XMLCite \textit{M. J. Jamieson}, Comput. Phys. Commun. 125, No. 1--3, 193--195 (2000; Zbl 0974.65079) Full Text: DOI
Reyes, J. A.; del Castillo-Mussot, M.; Vázquez, G. J. Impurity at the boundary of two quantum wires: 1D Schrödinger equations with an asymmetric Coulumb potential. (English) Zbl 0991.81018 Helv. Phys. Acta 72, No. 5-6, 295-300 (1999). MSC: 81Q05 34L05 PDFBibTeX XMLCite \textit{J. A. Reyes} et al., Helv. Phys. Acta 72, No. 5--6, 295--300 (1999; Zbl 0991.81018)
Reyes, J. A.; del Castillo-Mussot, M. 1D Schrödinger equations with Coulomb-type potentials. (English) Zbl 0937.34073 J. Phys. A, Math. Gen. 32, No. 10, 2017-2025 (1999). MSC: 34L40 81Q05 PDFBibTeX XMLCite \textit{J. A. Reyes} and \textit{M. del Castillo-Mussot}, J. Phys. A, Math. Gen. 32, No. 10, 2017--2025 (1999; Zbl 0937.34073) Full Text: DOI
Gredeskul, Sergey; Zusman, Masha; Avishai, Yshai; Azbel, Mark Ya. Electron in two-dimensional system with point scatterers and magnetic field. (English) Zbl 0898.35101 Papanicolaou, George (ed.), Wave propagation in complex media. New York, NY: Springer. IMA Vol. Math. Appl. 96, 95-142 (1998). MSC: 35Q60 81U05 78A45 PDFBibTeX XMLCite \textit{S. Gredeskul} et al., IMA Vol. Math. Appl. 96, 95--142 (1998; Zbl 0898.35101)
El-Kader, M. S. A. Line shape analysis of the depolarized light scattering in the molecular mixture of \(SF_6\) with noble gases. (English) Zbl 1126.78302 Shehab, Moufeed (ed.) et al., The 3rd international conference on engineering mathematics and physics, Cairo, Egypt, December 23–25, 1997. Vol. 1 and 2. Cairo: Cairo Univ., Faculty of Engineering. 645-652 (1997). MSC: 78A45 65N25 35P15 81V55 PDFBibTeX XMLCite \textit{M. S. A. El-Kader}, in: The 3rd international conference on engineering mathematics and physics, Cairo, Egypt, December 23--25, 1997. Vol. 1 and 2. Cairo: Cairo Univ., Faculty of Engineering. 645--652 (1997; Zbl 1126.78302)
Fassari, Silvestro; Inglese, Gabriele On the eigenvalues of the Hamiltonian of the harmonic oscillator with the interaction \(\lambda x^2/(1+gx^2)\). II. (English) Zbl 0901.34084 Rep. Math. Phys. 39, No. 1, 77-86 (1997). MSC: 34L15 37J99 PDFBibTeX XMLCite \textit{S. Fassari} and \textit{G. Inglese}, Rep. Math. Phys. 39, No. 1, 77--86 (1997; Zbl 0901.34084) Full Text: DOI
Gomez, F. J.; Sesma, J. Global solutions of the Schrödinger equation with Coulomb plus linear potential. (English) Zbl 0813.65104 J. Comput. Phys. 115, No. 2, 296-301 (1994). Reviewer: A.Swift (Palmerston North) MSC: 65L05 34L40 PDFBibTeX XMLCite \textit{F. J. Gomez} and \textit{J. Sesma}, J. Comput. Phys. 115, No. 2, 296--301 (1994; Zbl 0813.65104) Full Text: DOI
Varshni, Y. P. Relative convergences of the WKB and SWKB approximations. (English) Zbl 0774.65064 J. Phys. A, Math. Gen. 25, No. 21, 5761-5777 (1992). Reviewer: I.Grosu (Iaşi) MSC: 65L15 34E20 34L15 81T60 34L40 81Q05 PDFBibTeX XMLCite \textit{Y. P. Varshni}, J. Phys. A, Math. Gen. 25, No. 21, 5761--5777 (1992; Zbl 0774.65064) Full Text: DOI
Kuznetsov, V. B.; Tsyganov, A. V. A special case of Neumann’s system and the Kowalewski-Chaplygin-Goryachev top. (English) Zbl 0696.35164 J. Phys. A, Math. Gen. 22, No. 3, L73-L79 (1989). MSC: 35Q99 37J35 37K10 81Q99 PDFBibTeX XMLCite \textit{V. B. Kuznetsov} and \textit{A. V. Tsyganov}, J. Phys. A, Math. Gen. 22, No. 3, L73--L79 (1989; Zbl 0696.35164) Full Text: DOI
Arteca, Gustavo A.; Mezey, Paul G. Approximate eigenvalues of parameter-dependent systems from boundaries of level sets. (English) Zbl 0665.35057 J. Math. Phys. 29, No. 1, 119-127 (1988). MSC: 35P15 35Q99 65M99 65N99 92Exx PDFBibTeX XMLCite \textit{G. A. Arteca} and \textit{P. G. Mezey}, J. Math. Phys. 29, No. 1, 119--127 (1988; Zbl 0665.35057) Full Text: DOI
Ginocchio, Joseph N. A class of exactly solvable potentials. II: The three-dimensional Schrödinger equation. (English) Zbl 0653.34008 Ann. Phys. 159, 467-480 (1985). Reviewer: J.E.Rubio MSC: 34A45 PDFBibTeX XMLCite \textit{J. N. Ginocchio}, Ann. Phys. 159, 467--480 (1985; Zbl 0653.34008) Full Text: DOI