Essaouini, M.; Abouzaid, B.; Gaudreau, P.; Safouhi, H. Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities. (English) Zbl 1451.65097 Numer. Algorithms 84, No. 4, 1397-1409 (2020). MSC: 65L15 65L60 81Q05 PDF BibTeX XML Cite \textit{M. Essaouini} et al., Numer. Algorithms 84, No. 4, 1397--1409 (2020; Zbl 1451.65097) Full Text: DOI
Cassidy, Tyler; Gaudreau, Philippe; Safouhi, Hassan On the computation of eigenvalues of the anharmonic Coulombic potential. (English) Zbl 1431.65125 J. Math. Chem. 56, No. 2, 477-492 (2018). MSC: 65L60 65L10 65L15 65L20 PDF BibTeX XML Cite \textit{T. Cassidy} et al., J. Math. Chem. 56, No. 2, 477--492 (2018; Zbl 1431.65125) Full Text: DOI arXiv
Rosenau, P.; Zilburg, A. Improved models of dense anharmonic lattices. (English) Zbl 1361.82025 Phys. Lett., A 381, No. 2, 87-93 (2017). MSC: 82C21 82C20 35Q70 PDF BibTeX XML Cite \textit{P. Rosenau} and \textit{A. Zilburg}, Phys. Lett., A 381, No. 2, 87--93 (2017; Zbl 1361.82025) Full Text: DOI
Gaudreau, Philippe J.; Slevinsky, Richard M.; Safouhi, Hassan Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method. (English) Zbl 1360.65197 Ann. Phys. 360, 520-538 (2015). MSC: 65L10 65L20 34C15 PDF BibTeX XML Cite \textit{P. J. Gaudreau} et al., Ann. Phys. 360, 520--538 (2015; Zbl 1360.65197) Full Text: DOI
Mikulski, Damian; Konarski, Jerzy; Eder, Krzysztof; Molski, Marcin; Kabaciński, Stanisław Exact solution of the Schrödinger equation with a new expansion of anharmonic potential with the use of the supersymmetric quantum mechanics and factorization method. (English) Zbl 1329.81171 J. Math. Chem. 53, No. 9, 2018-2027 (2015). MSC: 81Q05 PDF BibTeX XML Cite \textit{D. Mikulski} et al., J. Math. Chem. 53, No. 9, 2018--2027 (2015; Zbl 1329.81171) Full Text: DOI
Martín, Pablo; Castro, Enrique; Luis Paz, José Analytic approximants for the energy eigenvalues of anharmonic potentials. (English) Zbl 1326.81068 Ciencia 21, No. 2, 99-102 (2013). MSC: 81Q05 81-04 81Q15 34L40 81T80 PDF BibTeX XML Cite \textit{P. Martín} et al., Ciencia 21, No. 2, 99--102 (2013; Zbl 1326.81068)
Belobo, Didier Belobo; Ekogo, Thierry Blanchard; Ben-Bolie, Germain Hubert; Kofané, Timoléon Crépin Solitons in attractive matter-wave condensate in variable anharmonic periodic potentials. (English) Zbl 1241.82012 Far East J. Dyn. Syst. 16, No. 2, 107-134 (2011). MSC: 82B10 35Q51 35C08 82-08 PDF BibTeX XML Cite \textit{D. B. Belobo} et al., Far East J. Dyn. Syst. 16, No. 2, 107--134 (2011; Zbl 1241.82012) Full Text: Link
Li, Guan-Qiang; Peng, Ping; Liu, Jian-Ke; Xue, Ju-Kui Collective excitations and nonlinear dynamics of 1D BEC with two- and three-body interactions in anharmonic traps. (English) Zbl 1392.82029 Commun. Theor. Phys. 50, No. 5, 1129-1136 (2008). MSC: 82C10 82D05 35Q82 PDF BibTeX XML Cite \textit{G.-Q. Li} et al., Commun. Theor. Phys. 50, No. 5, 1129--1136 (2008; Zbl 1392.82029) Full Text: DOI
De Freitas, A.; Martín, P.; Castro, E.; Paz, J. L. Eigenvalues and eigenfunctions for the ground state of polynomial potentials. (English) Zbl 1197.81117 Phys. Lett., A 362, No. 5-6, 371-376 (2007). MSC: 81Q05 PDF BibTeX XML Cite \textit{A. De Freitas} et al., Phys. Lett., A 362, No. 5--6, 371--376 (2007; Zbl 1197.81117) 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 PDF BibTeX XML Cite \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
Antunes, A. C. B.; Antunes, L. J. Matricial solutions of quantum systems with anharmonic oscillator, singular and non-symmetrical potentials. (English) Zbl 1078.81519 Hadronic J. 28, No. 3, 319-336 (2005). MSC: 81Q05 81R15 PDF BibTeX XML Cite \textit{A. C. B. Antunes} and \textit{L. J. Antunes}, Hadronic J. 28, No. 3, 319--336 (2005; Zbl 1078.81519)
Bagchi, B.; Cannata, F.; Quesne, C. PT-symmetric sextic potentials. (English) Zbl 1115.81392 Phys. Lett., A 269, No. 2-3, 79-82 (2000). MSC: 81U15 PDF BibTeX XML Cite \textit{B. Bagchi} et al., Phys. Lett., A 269, No. 2--3, 79--82 (2000; Zbl 1115.81392) Full Text: DOI arXiv
Kopidakis, G.; Aubry, S. Intraband discrete breathers in disordered nonlinear systems. I: Delocalization. (English) Zbl 0943.70016 Physica D 130, No. 3-4, 155-186 (1999). MSC: 70L05 70K99 82D30 PDF BibTeX XML Cite \textit{G. Kopidakis} and \textit{S. Aubry}, Physica D 130, No. 3--4, 155--186 (1999; Zbl 0943.70016) Full Text: DOI
Fernández C., D. J.; Hussin, V.; Mielnik, B. A simple generation of exactly solvable anharmonic oscillators. (English) Zbl 0941.81022 Phys. Lett., A 244, No. 5, 309-316 (1998). MSC: 81Q05 PDF BibTeX XML Cite \textit{D. J. Fernández C.} et al., Phys. Lett., A 244, No. 5, 309--316 (1998; Zbl 0941.81022) Full Text: DOI
Samsonov, Boris F. Distortion of a phase space under the Darboux transformation. (English) Zbl 0909.35114 J. Math. Phys. 39, No. 2, 967-975 (1998). MSC: 35Q40 81Q05 81R30 PDF BibTeX XML Cite \textit{B. F. Samsonov}, J. Math. Phys. 39, No. 2, 967--975 (1998; Zbl 0909.35114) Full Text: DOI
Ivanov, I. A. Sum rule for the spectra of \(x^{2m}\) potentials. (English) Zbl 0918.34075 J. Phys. A, Math. Gen. 30, No. 12, 4337-4339 (1997). MSC: 34L40 81Q05 PDF BibTeX XML Cite \textit{I. A. Ivanov}, J. Phys. A, Math. Gen. 30, No. 12, 4337--4339 (1997; Zbl 0918.34075) Full Text: DOI
Eleonskij, V. M.; Korolev, V. G. On bifurcations in the Schrödinger problem admitting of an existence of nonlinear shift operators. (English) Zbl 0887.34075 Int. J. Bifurcation Chaos Appl. Sci. Eng. 5, No. 6, 1727-1740 (1995). MSC: 34L40 81Q10 PDF BibTeX XML Cite \textit{V. M. Eleonskij} and \textit{V. G. Korolev}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 5, No. 6, 1727--1740 (1995; Zbl 0887.34075) Full Text: DOI
Buendía, E.; Gálvez, F. J.; Puertas, A. Study of singular anharmonic potentials by means of the analytic continuation method. (English) Zbl 0876.34086 J. Phys. A, Math. Gen. 28, No. 23, 6731-6738 (1995). MSC: 34L40 34M99 PDF BibTeX XML Cite \textit{E. Buendía} et al., J. Phys. A, Math. Gen. 28, No. 23, 6731--6738 (1995; Zbl 0876.34086) Full Text: DOI
Grosche, Christian Conditionally solvable path integral problems. (English) Zbl 0872.58016 J. Phys. A, Math. Gen. 28, No. 20, 5889-5902 (1995). MSC: 58D30 81S40 34L30 PDF BibTeX XML Cite \textit{C. Grosche}, J. Phys. A, Math. Gen. 28, No. 20, 5889--5902 (1995; Zbl 0872.58016) Full Text: DOI
Witwit, M. R. M. Finite difference calculations of eigenvalues for various potentials. (English) Zbl 0765.65087 J. Phys. A, Math. Gen. 25, No. 2, 503-512 (1992). Reviewer: J.A.Crow (Corvallis) MSC: 65L15 65L12 34L40 PDF BibTeX XML Cite \textit{M. R. M. Witwit}, J. Phys. A, Math. Gen. 25, No. 2, 503--512 (1992; Zbl 0765.65087) Full Text: DOI
Kaushal, R. S. Quantum mechanics of noncentral harmonic and anharmonic potentials in two-dimensions. (English) Zbl 0724.70020 Ann. Phys. 206, No. 1, 90-105 (1991). MSC: 70H99 81Q05 35Q40 PDF BibTeX XML Cite \textit{R. S. Kaushal}, Ann. Phys. 206, No. 1, 90--105 (1991; Zbl 0724.70020) Full Text: DOI
Thylwe, Karl-Erik New theorem on action integrals and oscillation periods of motion in polynomial multi-well potentials. (English) Zbl 0721.70010 J. Phys. A, Math. Gen. 24, No. 3, 625-630 (1991). MSC: 70H30 70F99 70H15 37J99 PDF BibTeX XML Cite \textit{K.-E. Thylwe}, J. Phys. A, Math. Gen. 24, No. 3, 625--630 (1991; Zbl 0721.70010) Full Text: DOI
Estrín, Darío A.; Fernández, Francisco M.; Castro, Eduardo A. On the Hill determinant method. (English) Zbl 0716.34102 J. Phys. A, Math. Gen. 23, No. 12, 2395-2400 (1990). MSC: 34L40 81Q10 34A25 PDF BibTeX XML Cite \textit{D. A. Estrín} et al., J. Phys. A, Math. Gen. 23, No. 12, 2395--2400 (1990; Zbl 0716.34102) Full Text: DOI
Slavyanov, S. Yu. Asymptotic behaviour of solutions of a one-dimensional Schrödinger equation. (Асимптотика решений одномерного уравнения Шредингера.) (Russian) Zbl 0791.34002 Leningrad: Leningradskiĭ Gosudarstvennyĭ Universitet. 256 p. (1990). Reviewer: David Gurarie (M.R. 92h:34002) MSC: 34-02 34E05 34E20 81Q05 PDF BibTeX XML Cite \textit{S. Yu. Slavyanov}, Асимптотика решений одномерного уравнения Шредингера (Russian). Leningrad: Leningradskij Gosudarstvennyj Universitet (1990; Zbl 0791.34002)
Ali, M. K.; Wood, W. Robert The Birkhoff-Gustavson normal form of one-dimensional double-well Hamiltonians. (English) Zbl 0685.46048 J. Math. Phys. 30, No. 6, 1238-1244 (1989). MSC: 46N99 81Q15 PDF BibTeX XML Cite \textit{M. K. Ali} and \textit{W. R. Wood}, J. Math. Phys. 30, No. 6, 1238--1244 (1989; Zbl 0685.46048) Full Text: DOI
Ushveridze, A. G. Algebraic convergent perturbation theory for quantum systems with discrete spectrum. (Russian. English summary) Zbl 0659.35097 Soobshch. Akad. Nauk Gruz. SSR 129, No. 2, 285-288 (1988). MSC: 35Q99 35J10 81Q15 35C05 PDF BibTeX XML Cite \textit{A. G. Ushveridze}, Soobshch. Akad. Nauk Gruz. SSR 129, No. 2, 285--288 (1988; Zbl 0659.35097)
Leaute, B.; Marcilhacy, G. On the Schrödinger equations of rotating harmonic, three-dimensional and doubly anharmonic oscillators and a class of confinement potentials in connection with the biconfluent Heun differential equation. (English) Zbl 0617.34013 J. Phys. A 19, 3527-3533 (1986). Reviewer: A.Cañada MSC: 34L99 34A25 34D05 PDF BibTeX XML Cite \textit{B. Leaute} and \textit{G. Marcilhacy}, J. Phys. A, Math. Gen. 19, 3527--3533 (1986; Zbl 0617.34013) Full Text: DOI
Leach, P. G. L. Exact solutions of the Schrödinger equation for a class of three- dimensional isotropic anharmonic oscillators. (English) Zbl 0557.35026 J. Math. Phys. 25, 2974-2978 (1984). MSC: 35J10 35Q99 81Q05 35C05 PDF BibTeX XML Cite \textit{P. G. L. Leach}, J. Math. Phys. 25, 2974--2978 (1984; Zbl 0557.35026) Full Text: DOI
Caliceti, E.; Maioli, M. Odd anharmonic oscillators and shape resonances. (English) Zbl 0521.47009 Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 38, 175-186 (1983). MSC: 47A55 81Q15 PDF BibTeX XML Cite \textit{E. Caliceti} and \textit{M. Maioli}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 38, 175--186 (1983; Zbl 0521.47009) Full Text: Numdam EuDML
Lewis, H. Ralph; Leach, P. G. L. Exact invariants for a class of time-dependent nonlinear Hamiltonian systems. (English) Zbl 0487.70022 J. Math. Phys. 23, 165-175 (1982). MSC: 70H05 70H15 37J99 37J35 37K10 PDF BibTeX XML Cite \textit{H. R. Lewis} and \textit{P. G. L. Leach}, J. Math. Phys. 23, 165--175 (1982; Zbl 0487.70022) Full Text: DOI
Truman, Aubrey The polygonal path formulation of the Feynman path integral. (English) Zbl 0412.28009 Feynman path integrals, Proc. int. Colloq., Marseille 1978, Lect. Notes Phys. 106, 73-102 (1979). MSC: 28C20 81S40 PDF BibTeX XML