Edit Profile (opens in new tab) Fernández, Francisco Marcelo Co-Author Distance Author ID: fernandez.francisco-m Published as: Fernández, Francisco M.; Fernández, F. M.; Fernandez, Francisco M.; Fernandez, F. M. more...less External Links: ORCID · Google Scholar Documents Indexed: 243 Publications since 1982, including 3 Books and 40 Additional arXiv Preprints Co-Authors: 39 Co-Authors with 90 Joint Publications 373 Co-Co-Authors all top 5 Co-Authors 136 single-authored 47 Amore, Paolo 28 Castro, Eduardo A. 8 Guardiola, R. 7 Mesón, Alejandro M. 5 Boyd, John Philip 4 Arteca, Gustavo A. 4 Duchowicz, Pablo R. 3 Sáenz, Ricardo A. 3 Znojil, Miloslav 2 Aranda, Alfredo 2 Ciftci, Hakan 2 Diaz, Carlos G. 2 Entem, David R. 2 Frydman, Gabriel I. 2 Hofmann, Christoph P. 2 Ortega, Pablo G. 2 Pathak, Anirban 2 Raya, Alfredo 2 Rodriguez, Martin 1 Aguilera-Navarro, Valdir C. 1 Alcoba, Diego R. 1 Cervantes, Mayra 1 Echave, Julián 1 Estrín, Darío A. 1 Gutiérrez, German 1 Jacobo, Martin 1 Jiménez, Enrique 1 Jones, Hugh F. 1 Lain, Luis 1 Maltz, Alberto L. 1 Nieto, Michael Martin 1 Oña, Ofelia B. 1 Piñeiro, A. Lopez 1 Rodríguez, Rodolfo 1 Rösler, Boris 1 Salvo, Koen 1 Segovia, Jorge 1 Semorádová, Iveta 1 Torre, Alicia 1 Truax, D. Rodney 1 Valdez, José Luis 1 Zhevandrov, Peter N. all top 5 Serials 31 Journal of Mathematical Chemistry 27 Journal of Physics A: Mathematical and General 25 Annals of Physics 24 Physics Letters. A 21 Journal of Mathematical Physics 17 European Journal of Physics 12 Journal of Physics A: Mathematical and Theoretical 10 Applied Mathematics and Computation 10 Physica Scripta 3 International Journal of Theoretical Physics 3 Journal of Computational Physics 2 Computer Physics Communications 2 Physica A 2 Kinam 2 MATCH - Communications in Mathematical and in Computer Chemistry 2 American Journal of Physics 1 International Journal of Mathematical Education in Science and Technology 1 Physics Letters. B 1 Anales de la Sociedad Cientifica Argentina 1 Bulgarian Journal of Physics 1 The ANZIAM Journal 1 Mathematical Chemistry Series 1 Revista Mexicana Física 1 Lecture Notes in Chemistry all top 5 Fields 145 Quantum theory (81-XX) 36 Ordinary differential equations (34-XX) 28 Numerical analysis (65-XX) 27 Partial differential equations (35-XX) 17 Mechanics of particles and systems (70-XX) 17 Statistical mechanics, structure of matter (82-XX) 11 Approximations and expansions (41-XX) 11 Biology and other natural sciences (92-XX) 10 Operator theory (47-XX) 7 Special functions (33-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Sequences, series, summability (40-XX) 5 Relativity and gravitational theory (83-XX) 4 Functional analysis (46-XX) 4 Optics, electromagnetic theory (78-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 Integral equations (45-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Mathematics education (97-XX) 1 (04-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 416 times in 312 Documents Cited by ▼ Year ▼ Strong-coupling expansions for the \({\mathcal {PT}}\)-symmetric oscillators \(V(x)= a({\mathbf i}x)+b({\mathbf i}x)^2+ c({\mathbf i}x)^3\). Zbl 0933.70018 Fernández, F. M.; Guardiola, R.; Ros, J.; Znojil, M. 30 1998 A family of complex potentials with real spectrum. Zbl 0943.34075 Fernández, F. M.; Guardiola, R.; Ros, J.; Znojil, M. 30 1999 Collocation method for fractional quantum mechanics. Zbl 1314.81061 Amore, Paolo; Fernández, Francisco M.; Hofmann, Christoph P.; Sáenz, Ricardo A. 26 2010 On an iteration method for eigenvalue problems. Zbl 1058.65510 Fernández, Francisco M. 23 2004 Algebraic methods in quantum chemistry and physics. Zbl 0862.46046 Fernández, Francisco M.; Castro, Eduardo A. 17 1996 Introduction to perturbation theory in quantum mechanics. Zbl 1048.81021 Fernández, Francisco M. 14 2001 Accurate calculation of the solutions to the Thomas-Fermi equations. Zbl 1410.81015 Amore, Paolo; Boyd, John P.; Fernández, Francisco M. 12 2014 Large-order perturbation expansions for the charged harmonic oscillator. Zbl 0771.70018 Aguilera-Navarro, V. C.; Fernández, Francisco M.; Guardiola, R.; Ros, J. 12 1992 Altenative perturbation approaches in classical mechanics. Zbl 1080.70014 Amore, Paolo; Raya, Alfredo; Fernández, Francisco M. 11 2005 Comparison of alternative improved perturbative methods for nonlinear oscillations. Zbl 1145.70323 Amore, Paolo; Raya, Alfredo; Fernández, Francisco M. 11 2005 Rational approximation to the Thomas-Fermi equations. Zbl 1210.81133 Fernández, Francisco M. 11 2011 A simple iterative solution of the Schrödinger equation in matrix representation form. Zbl 0584.65084 Fernández, Francisco M.; Mesón, Alejandro M.; Castro, Eduardo A. 10 1985 Comment on: “Series solution to the Thomas-Fermi equation” [Phys. Lett. A 365, No. 1-2, 111–115 (2007)]. Zbl 1221.81202 Fernández, Francisco M. 9 2008 Non-Hermitian Hamiltonians with unitary and antiunitary symmetries. Zbl 1342.81133 Fernández, Francisco M.; Garcia, Javier 8 2014 High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson extrapolation of second order finite differences. Zbl 1352.65458 Amore, Paolo; Boyd, John P.; Fernández, Francisco M.; Rösler, Boris 8 2016 On some approximate methods for nonlinear models. Zbl 1175.65079 Fernández, Francisco M. 8 2009 Parity-time symmetry broken by point-group symmetry. Zbl 1292.81038 Fernández, Francisco M.; Garcia, Javier 7 2014 Direct calculation of accurate Siegert eigenvalues. Zbl 0859.34066 Fernández, F. M. 6 1995 Hypervirial theorems. Zbl 0615.46069 Fernández, F. M.; Castro, E. A. 6 1987 Quantization condition for bound and quasibound states. Zbl 0901.34088 Fernández, Francisco M. 6 1996 Accurate eigenvalues and eigenfunctions for quantum-mechanical anharmonic oscillators. Zbl 0822.34075 Fernández, Francisco M.; Guardiola, R. 6 1993 Comment on an application of the asymptotic iteration method to a perturbed Coulomb model. Zbl 1114.81007 Amore, Paolo; Fernández, Francisco M. 6 2006 Resonances for a perturbed Coulomb potential. Zbl 1020.81558 Fernández, Francisco M. 5 1995 Is space-time symmetry a suitable generalization of parity-time symmetry? Zbl 1344.81090 Amore, Paolo; Fernández, Francisco M.; Garcia, Javier 5 2014 Symmetric quadratic Hamiltonians with pseudo-Hermitian matrix representation. Zbl 1380.81120 Fernández, Francisco M. 4 2016 On the homotopy perturbation method for Boussinesq-like equations. Zbl 1410.35017 Fernández, Francisco M. 4 2014 Non-Hermitian oscillators with \(T_d\) symmetry. Zbl 1343.81095 Amore, Paolo; Fernández, Francisco M.; Garcia, Javier 4 2015 A most misunderstood conditionally-solvable quantum-mechanical model. Zbl 1482.81019 Fernández, Francisco M. 4 2021 Comment on ’Solution of the Duffing-van der Pol oscillator equation by a differential transform method’. Zbl 1320.34004 Fernández, Francisco M. 4 2011 Algebraic treatment of \(\mathcal{PT}\)-symmetric coupled oscillators. Zbl 1329.81166 Fernández, Francisco M. 3 2015 Collocation on uniform grids. Zbl 1177.81145 Amore, Paolo; Fernández, Francisco M.; Sáenz, Ricardo A.; Salvo, Koen 3 2009 An ubiquitous three-term recurrence relation. Zbl 1461.81024 Amore, Paolo; Fernández, Francisco M. 3 2021 Calculation of bound states and resonances in perturbed Coulomb models. Zbl 1220.81087 Fernández, Francisco M. 3 2008 On a perturbation treatment of a model for MHD viscous flow. Zbl 1342.76133 Fernández, Francisco M. 3 2010 Variational collocation on finite intervals. Zbl 1126.65062 Amore, Paolo; Cervantes, Mayra; Fernández, Francisco M. 3 2007 Comment on: “Perturbation theory from an iteration method”. Zbl 1410.65410 Fernández, Francisco M. 3 2005 High order analysis of the limit cycle of the van der Pol oscillator. Zbl 1383.34076 Amore, Paolo; Boyd, John P.; Fernández, Francisco M. 2 2018 The Riccati-Padé method for coupled-channel equations. Zbl 0918.34076 Fernández, F. M.; Guardiola, R. 2 1997 Accurate eigenvalues and eigenfunctions of simple quantum-mechanical systems by means of the Riccati-Hill method. Zbl 0941.81532 Fernández, Francisco M. 2 1994 Generating functions for Hermite polynomials of arbitrary order. Zbl 0949.33007 Fernández, F. M. 2 1998 On the symmetry of three identical interacting particles in a one-dimensional box. Zbl 1343.81263 Amore, Paolo; Fernández, Francisco M. 2 2015 On an alternative perturbation method in quantum mechanics. Zbl 1085.81045 Fernández, Francisco M. 2 2006 Comment on: “Exact solution of the inverse-square-root potential \(V(r)=-\frac{\alpha}{\sqrt r}\)”. Zbl 1365.81050 Fernández, Francisco M. 2 2017 On the Hill determinant method. Zbl 0716.34102 Estrín, Darío A.; Fernández, Francisco M.; Castro, Eduardo A. 2 1990 Analytical bound eigenstates and eigenvalues of a truncated Coulomb potential. Zbl 0721.34102 Fernández, F. M. 2 1991 Eigenvalues from the Riccati equation. Zbl 0631.34030 Fernández, Francisco M.; Castro, Eduardo A. 2 1987 Alternative factorization of eigenvalue problems in one dimension. Zbl 0841.34087 Fernández, F. M.; Piñeiro, A. Lopez; Moreno, B. 2 1994 QSPR modeling of the enthalpy of formation based on partial order ranking. Zbl 1065.92069 Castro, Eduardo A.; Fernández, Francisco M.; Duchowicz, Pablo R. 2 2005 Hypervirial calculation of integrals involving Bessel functions. Zbl 0496.33002 Fernandez, F. M.; Meson, A.; Castro, E. A. 2 1982 Comment on: “Series solutions to the \(N\)-dimensional radial Schrödinger equation for the quark-antiquark interaction potential”. Zbl 1271.81061 Fernández, Francisco M. 2 2012 On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian. Zbl 1331.81094 Fernández, Francisco M. 2 2014 Tight bounds to the Schrödinger equation eigenvalues. Zbl 0677.34025 Fernández, Francisco M.; Frydman, Gabriel I.; Castro, Eduardo A. 2 1989 Comment on: “On the characteristic polynomial of an effective Hamiltonian”. Zbl 1515.81103 Fernández, Francisco M. 2 2022 Comment on “Solution of Schrödinger equation for two different potentials using extended Nikiforov-Uvarov method and polynomial solutions of biconfluent Heun equation” [J. Math. Phys. 59, 053501 (2018)]. Zbl 1480.81039 Fernández, Francisco M. 2 2021 On perturbation theory in statistical mechanics. Zbl 1219.82049 Fernández, Francisco M. 2 2003 Accurate calculation of the complex eigenvalues of the Schrödinger equation with an exponential potential. Zbl 1220.81104 Amore, Paolo; Fernández, Francisco M. 2 2008 Non-Hermitian Hamiltonians and similarity transformations. Zbl 1333.81194 Fernández, Francisco M. 2 2016 The accurate calculation of resonances in multiple-well oscillators. Zbl 1133.81016 Fernández, Francisco M. 2 2008 On the eigenvalues of some non-Hermitian oscillators. Zbl 1268.81059 Fernández, Francisco M.; Garcia, Javier 2 2013 One-dimensional oscillator in a box. Zbl 1188.81056 Amore, Paolo; Fernández, Francisco M. 2 2010 The confined hydrogen atom with a moving nucleus. Zbl 1187.81218 Fernández, Francisco M. 2 2010 The harmonic oscillator in a space with a screw dislocation. Zbl 1382.81084 Amore, Paolo; Fernández, Francisco M. 1 2018 On the Morse oscillator with a kinetic coupling. Comment on: ”Energetic level formula for the Morse oscillator with an additional kinetic coupling potential” by H. Y. Fan, Chen and Y. Fan. Zbl 1043.81733 Fernández, Francisco M. 1 1997 Local approximation to the critical parameters of quantum wells. Zbl 1329.81179 Fernández, Francisco M.; Garcia, Javier 1 2013 Ad hoc physical Hilbert spaces in quantum mechanics. Zbl 1329.81046 Fernández, Francisco M.; Garcia, Javier; Semorádová, Iveta; Znojil, Miloslav 1 2015 Computer algebra and large scale perturbation theory. Zbl 0998.81061 Fernández, F. M.; Guardiola, R.; Ros, J. 1 1998 The particle in a box with a perturbation. Zbl 1017.81011 Fernández, Francisco M. 1 1999 Highly accurate calculation of the resonances in the Stark effect in hydrogen. Zbl 1426.82003 Fernández, Francisco M.; Garcia, Javier 1 2018 A quantum-mechanical anharmonic oscillator with a most interesting spectrum. Zbl 1372.81084 Amore, Paolo; Fernández, Francisco M. 1 2017 On the application of the Lindstedt-Poincaré method to the Lotka-Volterra system. Zbl 1398.70045 Amore, Paolo; Fernández, Francisco M. 1 2018 On a model for rotational tunneling with a \(C_{6}\)-space-time symmetric analog. Zbl 1422.81178 Amore, Paolo; Fernández, Francisco M. 1 2019 Comment on “Quantization of the damped harmonic oscillator” [J. Math. Phys. 59, 082105 (2018)]. Zbl 1422.81097 Fernández, Francisco M. 1 2019 Analytical expressions for the eigenvalues of anharmonic oscillators. Zbl 0597.58025 Fernández, Francisco M.; Arteca, Gustavo A.; Castro, Eduardo A. 1 1983 Perturbation theory for confined systems. Zbl 1312.82013 Fernández, Francisco M. 1 2014 Critical screening parameters for screened Coulomb potentials. Zbl 0731.65070 Diaz, Carlos G.; Fernández, Francisco M.; Castro, Eduardo A. 1 1991 Three PT-symmetric Hamiltonians with completely different spectra. Zbl 1360.81161 Fernández, Francisco M.; Garcia, Javier 1 2015 Bound states of a charged particle in the field of an electric quadrupole in two dimensions. Zbl 1300.81035 Fernández, Francisco M. 1 2014 \(\mathcal{PT}\)-symmetric strings. Zbl 1303.81082 Amore, Paolo; Fernández, Francisco M.; Garcia, Javier; Gutierrez, German 1 2014 Perturbation theory by the moment method and point-group symmetry. Zbl 1332.82010 Fernández, Francisco M. 1 2015 The Kronecker product and some of its physical applications. Zbl 1351.47011 Fernández, Francisco M. 1 2016 Singular points from Taylor series. Zbl 0626.41016 Fernández, Francisco M.; Arteca, Gustavo A.; Castro, Eduardo A. 1 1987 On the time evolution operator for time-dependent quadratic Hamiltonians. Zbl 0673.46052 Fernández, Francisco M. 1 1989 On large-\(N\) expansions. Zbl 1045.81571 Fernández, Francisco M. 1 2002 Accurate calculation of resonances for a central-field model potential. Zbl 1246.65132 Fernández, Francisco M. 1 2012 The strong coupling expansion for anharmonic oscillators. Zbl 0936.70023 Fernández, F. M.; Guardiola, R. 1 1997 Exceptional point in a simple textbook example. Zbl 1408.70016 Fernández, Francisco M. 1 2018 Comment on: “Analytical approach for solving population balances: a homotopy perturbation method”. Zbl 1519.92193 Fernández, Francisco M. 1 2020 The strange partner of the \(Z_c\) structures in a coupled-channels model. Zbl 07409683 Ortega, Pablo G.; Entem, David R.; Fernández, Francisco 1 2021 On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation. Zbl 1500.81035 Fernández, Francisco M. 1 2022 Comment on: “Improving series convergence: the simple pendulum and beyond”. Zbl 1516.40003 Fernández, Francisco M. 1 2021 The rotating harmonic oscillator revisited. Zbl 1487.81091 Fernández, Francisco M. 1 2022 Critical parameters for non-Hermitian Hamiltonians. Zbl 1338.81199 Fernández, Francisco M.; Garcia, Javier 1 2014 Wronskian method for bound states. Zbl 1221.81051 Fernández, Francisco M. 1 2011 Resonances for symmetric two-barrier potentials. Zbl 1263.81187 Fernández, Francisco M. 1 2011 Inversion of the perturbation series. Zbl 1132.81020 Amore, Paolo; Fernández, Francisco M. 1 2008 A new approximation method for time-dependent problems in quantum mechanics. Zbl 1145.81349 Amore, Paolo; Aranda, Alfredo; Fernández, Francisco M.; Jones, Hugh 1 2005 Is there any unique frequency operator for quantum-mechanical anharmonic oscillators. Zbl 1171.81391 Pathak, Anirban; Fernández, Francisco M. 1 2005 Variational collocation for systems of coupled anharmonic oscillators. Zbl 1273.81057 Amore, Paolo; Fernández, Francisco M. 1 2010 Frequency operator for anharmonic oscillators by perturbation theory. Zbl 1028.81019 Fernández, F. M.; Pathak, A. 1 2003 Algebraic treatment of non-Hermitian quadratic Hamiltonians. Zbl 1448.81323 Fernández, Francisco M. 1 2020 Comment on: “On the characteristic polynomial of an effective Hamiltonian”. Zbl 1515.81103 Fernández, Francisco M. 2 2022 On a class of non-Hermitian Hamiltonians with tridiagonal matrix representation. Zbl 1500.81035 Fernández, Francisco M. 1 2022 The rotating harmonic oscillator revisited. Zbl 1487.81091 Fernández, Francisco M. 1 2022 A most misunderstood conditionally-solvable quantum-mechanical model. Zbl 1482.81019 Fernández, Francisco M. 4 2021 An ubiquitous three-term recurrence relation. Zbl 1461.81024 Amore, Paolo; Fernández, Francisco M. 3 2021 Comment on “Solution of Schrödinger equation for two different potentials using extended Nikiforov-Uvarov method and polynomial solutions of biconfluent Heun equation” [J. Math. Phys. 59, 053501 (2018)]. Zbl 1480.81039 Fernández, Francisco M. 2 2021 The strange partner of the \(Z_c\) structures in a coupled-channels model. Zbl 07409683 Ortega, Pablo G.; Entem, David R.; Fernández, Francisco 1 2021 Comment on: “Improving series convergence: the simple pendulum and beyond”. Zbl 1516.40003 Fernández, Francisco M. 1 2021 Comment on: “Analytical approach for solving population balances: a homotopy perturbation method”. Zbl 1519.92193 Fernández, Francisco M. 1 2020 Algebraic treatment of non-Hermitian quadratic Hamiltonians. Zbl 1448.81323 Fernández, Francisco M. 1 2020 On a model for rotational tunneling with a \(C_{6}\)-space-time symmetric analog. Zbl 1422.81178 Amore, Paolo; Fernández, Francisco M. 1 2019 Comment on “Quantization of the damped harmonic oscillator” [J. Math. Phys. 59, 082105 (2018)]. Zbl 1422.81097 Fernández, Francisco M. 1 2019 High order analysis of the limit cycle of the van der Pol oscillator. Zbl 1383.34076 Amore, Paolo; Boyd, John P.; Fernández, Francisco M. 2 2018 The harmonic oscillator in a space with a screw dislocation. Zbl 1382.81084 Amore, Paolo; Fernández, Francisco M. 1 2018 Highly accurate calculation of the resonances in the Stark effect in hydrogen. Zbl 1426.82003 Fernández, Francisco M.; Garcia, Javier 1 2018 On the application of the Lindstedt-Poincaré method to the Lotka-Volterra system. Zbl 1398.70045 Amore, Paolo; Fernández, Francisco M. 1 2018 Exceptional point in a simple textbook example. Zbl 1408.70016 Fernández, Francisco M. 1 2018 Comment on: “Exact solution of the inverse-square-root potential \(V(r)=-\frac{\alpha}{\sqrt r}\)”. Zbl 1365.81050 Fernández, Francisco M. 2 2017 A quantum-mechanical anharmonic oscillator with a most interesting spectrum. Zbl 1372.81084 Amore, Paolo; Fernández, Francisco M. 1 2017 High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson extrapolation of second order finite differences. Zbl 1352.65458 Amore, Paolo; Boyd, John P.; Fernández, Francisco M.; Rösler, Boris 8 2016 Symmetric quadratic Hamiltonians with pseudo-Hermitian matrix representation. Zbl 1380.81120 Fernández, Francisco M. 4 2016 Non-Hermitian Hamiltonians and similarity transformations. Zbl 1333.81194 Fernández, Francisco M. 2 2016 The Kronecker product and some of its physical applications. Zbl 1351.47011 Fernández, Francisco M. 1 2016 Non-Hermitian oscillators with \(T_d\) symmetry. Zbl 1343.81095 Amore, Paolo; Fernández, Francisco M.; Garcia, Javier 4 2015 Algebraic treatment of \(\mathcal{PT}\)-symmetric coupled oscillators. Zbl 1329.81166 Fernández, Francisco M. 3 2015 On the symmetry of three identical interacting particles in a one-dimensional box. Zbl 1343.81263 Amore, Paolo; Fernández, Francisco M. 2 2015 Ad hoc physical Hilbert spaces in quantum mechanics. Zbl 1329.81046 Fernández, Francisco M.; Garcia, Javier; Semorádová, Iveta; Znojil, Miloslav 1 2015 Three PT-symmetric Hamiltonians with completely different spectra. Zbl 1360.81161 Fernández, Francisco M.; Garcia, Javier 1 2015 Perturbation theory by the moment method and point-group symmetry. Zbl 1332.82010 Fernández, Francisco M. 1 2015 Accurate calculation of the solutions to the Thomas-Fermi equations. Zbl 1410.81015 Amore, Paolo; Boyd, John P.; Fernández, Francisco M. 12 2014 Non-Hermitian Hamiltonians with unitary and antiunitary symmetries. Zbl 1342.81133 Fernández, Francisco M.; Garcia, Javier 8 2014 Parity-time symmetry broken by point-group symmetry. Zbl 1292.81038 Fernández, Francisco M.; Garcia, Javier 7 2014 Is space-time symmetry a suitable generalization of parity-time symmetry? Zbl 1344.81090 Amore, Paolo; Fernández, Francisco M.; Garcia, Javier 5 2014 On the homotopy perturbation method for Boussinesq-like equations. Zbl 1410.35017 Fernández, Francisco M. 4 2014 On the crossing of the energy levels of a parameter-dependent quantum-mechanical Hamiltonian. Zbl 1331.81094 Fernández, Francisco M. 2 2014 Perturbation theory for confined systems. Zbl 1312.82013 Fernández, Francisco M. 1 2014 Bound states of a charged particle in the field of an electric quadrupole in two dimensions. Zbl 1300.81035 Fernández, Francisco M. 1 2014 \(\mathcal{PT}\)-symmetric strings. Zbl 1303.81082 Amore, Paolo; Fernández, Francisco M.; Garcia, Javier; Gutierrez, German 1 2014 Critical parameters for non-Hermitian Hamiltonians. Zbl 1338.81199 Fernández, Francisco M.; Garcia, Javier 1 2014 On the eigenvalues of some non-Hermitian oscillators. Zbl 1268.81059 Fernández, Francisco M.; Garcia, Javier 2 2013 Local approximation to the critical parameters of quantum wells. Zbl 1329.81179 Fernández, Francisco M.; Garcia, Javier 1 2013 Comment on: “Series solutions to the \(N\)-dimensional radial Schrödinger equation for the quark-antiquark interaction potential”. Zbl 1271.81061 Fernández, Francisco M. 2 2012 Accurate calculation of resonances for a central-field model potential. Zbl 1246.65132 Fernández, Francisco M. 1 2012 Rational approximation to the Thomas-Fermi equations. Zbl 1210.81133 Fernández, Francisco M. 11 2011 Comment on ’Solution of the Duffing-van der Pol oscillator equation by a differential transform method’. Zbl 1320.34004 Fernández, Francisco M. 4 2011 Wronskian method for bound states. Zbl 1221.81051 Fernández, Francisco M. 1 2011 Resonances for symmetric two-barrier potentials. Zbl 1263.81187 Fernández, Francisco M. 1 2011 Collocation method for fractional quantum mechanics. Zbl 1314.81061 Amore, Paolo; Fernández, Francisco M.; Hofmann, Christoph P.; Sáenz, Ricardo A. 26 2010 On a perturbation treatment of a model for MHD viscous flow. Zbl 1342.76133 Fernández, Francisco M. 3 2010 One-dimensional oscillator in a box. Zbl 1188.81056 Amore, Paolo; Fernández, Francisco M. 2 2010 The confined hydrogen atom with a moving nucleus. Zbl 1187.81218 Fernández, Francisco M. 2 2010 Variational collocation for systems of coupled anharmonic oscillators. Zbl 1273.81057 Amore, Paolo; Fernández, Francisco M. 1 2010 On some approximate methods for nonlinear models. Zbl 1175.65079 Fernández, Francisco M. 8 2009 Collocation on uniform grids. Zbl 1177.81145 Amore, Paolo; Fernández, Francisco M.; Sáenz, Ricardo A.; Salvo, Koen 3 2009 Comment on: “Series solution to the Thomas-Fermi equation” [Phys. Lett. A 365, No. 1-2, 111–115 (2007)]. Zbl 1221.81202 Fernández, Francisco M. 9 2008 Calculation of bound states and resonances in perturbed Coulomb models. Zbl 1220.81087 Fernández, Francisco M. 3 2008 Accurate calculation of the complex eigenvalues of the Schrödinger equation with an exponential potential. Zbl 1220.81104 Amore, Paolo; Fernández, Francisco M. 2 2008 The accurate calculation of resonances in multiple-well oscillators. Zbl 1133.81016 Fernández, Francisco M. 2 2008 Inversion of the perturbation series. Zbl 1132.81020 Amore, Paolo; Fernández, Francisco M. 1 2008 Variational collocation on finite intervals. Zbl 1126.65062 Amore, Paolo; Cervantes, Mayra; Fernández, Francisco M. 3 2007 Comment on an application of the asymptotic iteration method to a perturbed Coulomb model. Zbl 1114.81007 Amore, Paolo; Fernández, Francisco M. 6 2006 On an alternative perturbation method in quantum mechanics. Zbl 1085.81045 Fernández, Francisco M. 2 2006 Altenative perturbation approaches in classical mechanics. Zbl 1080.70014 Amore, Paolo; Raya, Alfredo; Fernández, Francisco M. 11 2005 Comparison of alternative improved perturbative methods for nonlinear oscillations. Zbl 1145.70323 Amore, Paolo; Raya, Alfredo; Fernández, Francisco M. 11 2005 Comment on: “Perturbation theory from an iteration method”. Zbl 1410.65410 Fernández, Francisco M. 3 2005 QSPR modeling of the enthalpy of formation based on partial order ranking. Zbl 1065.92069 Castro, Eduardo A.; Fernández, Francisco M.; Duchowicz, Pablo R. 2 2005 A new approximation method for time-dependent problems in quantum mechanics. Zbl 1145.81349 Amore, Paolo; Aranda, Alfredo; Fernández, Francisco M.; Jones, Hugh 1 2005 Is there any unique frequency operator for quantum-mechanical anharmonic oscillators. Zbl 1171.81391 Pathak, Anirban; Fernández, Francisco M. 1 2005 On an iteration method for eigenvalue problems. Zbl 1058.65510 Fernández, Francisco M. 23 2004 On perturbation theory in statistical mechanics. Zbl 1219.82049 Fernández, Francisco M. 2 2003 Frequency operator for anharmonic oscillators by perturbation theory. Zbl 1028.81019 Fernández, F. M.; Pathak, A. 1 2003 On large-\(N\) expansions. Zbl 1045.81571 Fernández, Francisco M. 1 2002 Introduction to perturbation theory in quantum mechanics. Zbl 1048.81021 Fernández, Francisco M. 14 2001 A family of complex potentials with real spectrum. Zbl 0943.34075 Fernández, F. M.; Guardiola, R.; Ros, J.; Znojil, M. 30 1999 The particle in a box with a perturbation. Zbl 1017.81011 Fernández, Francisco M. 1 1999 Strong-coupling expansions for the \({\mathcal {PT}}\)-symmetric oscillators \(V(x)= a({\mathbf i}x)+b({\mathbf i}x)^2+ c({\mathbf i}x)^3\). Zbl 0933.70018 Fernández, F. M.; Guardiola, R.; Ros, J.; Znojil, M. 30 1998 Generating functions for Hermite polynomials of arbitrary order. Zbl 0949.33007 Fernández, F. M. 2 1998 Computer algebra and large scale perturbation theory. Zbl 0998.81061 Fernández, F. M.; Guardiola, R.; Ros, J. 1 1998 The Riccati-Padé method for coupled-channel equations. Zbl 0918.34076 Fernández, F. M.; Guardiola, R. 2 1997 On the Morse oscillator with a kinetic coupling. Comment on: ”Energetic level formula for the Morse oscillator with an additional kinetic coupling potential” by H. Y. Fan, Chen and Y. Fan. Zbl 1043.81733 Fernández, Francisco M. 1 1997 The strong coupling expansion for anharmonic oscillators. Zbl 0936.70023 Fernández, F. M.; Guardiola, R. 1 1997 Algebraic methods in quantum chemistry and physics. Zbl 0862.46046 Fernández, Francisco M.; Castro, Eduardo A. 17 1996 Quantization condition for bound and quasibound states. Zbl 0901.34088 Fernández, Francisco M. 6 1996 Direct calculation of accurate Siegert eigenvalues. Zbl 0859.34066 Fernández, F. M. 6 1995 Resonances for a perturbed Coulomb potential. Zbl 1020.81558 Fernández, Francisco M. 5 1995 Accurate eigenvalues and eigenfunctions of simple quantum-mechanical systems by means of the Riccati-Hill method. Zbl 0941.81532 Fernández, Francisco M. 2 1994 Alternative factorization of eigenvalue problems in one dimension. Zbl 0841.34087 Fernández, F. M.; Piñeiro, A. Lopez; Moreno, B. 2 1994 Accurate eigenvalues and eigenfunctions for quantum-mechanical anharmonic oscillators. Zbl 0822.34075 Fernández, Francisco M.; Guardiola, R. 6 1993 Large-order perturbation expansions for the charged harmonic oscillator. Zbl 0771.70018 Aguilera-Navarro, V. C.; Fernández, Francisco M.; Guardiola, R.; Ros, J. 12 1992 Analytical bound eigenstates and eigenvalues of a truncated Coulomb potential. Zbl 0721.34102 Fernández, F. M. 2 1991 Critical screening parameters for screened Coulomb potentials. Zbl 0731.65070 Diaz, Carlos G.; Fernández, Francisco M.; Castro, Eduardo A. 1 1991 On the Hill determinant method. Zbl 0716.34102 Estrín, Darío A.; Fernández, Francisco M.; Castro, Eduardo A. 2 1990 Tight bounds to the Schrödinger equation eigenvalues. Zbl 0677.34025 Fernández, Francisco M.; Frydman, Gabriel I.; Castro, Eduardo A. 2 1989 On the time evolution operator for time-dependent quadratic Hamiltonians. Zbl 0673.46052 Fernández, Francisco M. 1 1989 Hypervirial theorems. Zbl 0615.46069 Fernández, F. M.; Castro, E. A. 6 1987 Eigenvalues from the Riccati equation. Zbl 0631.34030 Fernández, Francisco M.; Castro, Eduardo A. 2 1987 Singular points from Taylor series. Zbl 0626.41016 Fernández, Francisco M.; Arteca, Gustavo A.; Castro, Eduardo A. 1 1987 A simple iterative solution of the Schrödinger equation in matrix representation form. Zbl 0584.65084 Fernández, Francisco M.; Mesón, Alejandro M.; Castro, Eduardo A. 10 1985 Analytical expressions for the eigenvalues of anharmonic oscillators. Zbl 0597.58025 Fernández, Francisco M.; Arteca, Gustavo A.; Castro, Eduardo A. 1 1983 Hypervirial calculation of integrals involving Bessel functions. Zbl 0496.33002 Fernandez, F. M.; Meson, A.; Castro, E. A. 2 1982 all cited Publications top 5 cited Publications all top 5 Cited by 414 Authors 47 Fernández, Francisco Marcelo 17 Znojil, Miloslav 13 Amore, Paolo 9 Beléndez, Augusto 9 Saad, Nasser 7 Hall, Richard L. 7 Huang, Chengming 6 Beléndez, Tarsicio 6 Bhattacharyya, Kamal 5 Boztosun, Ismail 5 Wang, Pengde 5 Witwit, M. R. M. 4 Álvarez, Mariela L. 4 Bayrak, Orhan 4 Boyd, John Philip 4 Dhatt, Sharmistha 4 Sever, Ramazan 4 Xu, Xiaoping 4 Zaky, Mahmoud A. 3 Ahmed, Nauman 3 Aldossary, Omar M. 3 Bhrawy, Ali Hassan 3 Delkhosh, Mehdi 3 Dong, Shihai 3 Fei, Mingfa 3 Gimeno, Encarnación 3 Ikhdair, Sameer M. 3 Lévai, Géza 3 Luo, Cuiling 3 Méndez, D. I. 3 Olğar, Eser 3 Pascual, Carolina 3 Ramos, Juan I. 3 Rehman, Muhammad Aziz-Ur 3 Wang, Dongling 3 Xiao, Aiguo 3 Yang, Wei 2 Abbasbandy, Saeid 2 Aguilera-Navarro, Valdir C. 2 Ali, Mubasher 2 Bakke, Knut 2 Băleanu, Dumitru I. 2 Basu-Mallick, Bireswar 2 Bervillier, Claude 2 Cançelik, Y. 2 Chung, Won-Sang 2 del Valle, J. C. 2 Fernández, David J. C. 2 Gaudreau, Philippe J. 2 Gomez, Francisco J. 2 Grosjean, Alain 2 Johannessen, Kim 2 Karakoc, Mustafa 2 Kaushal, Radhey S. 2 Khare, Avinash 2 Killingbeck, John P. 2 Koç, Ramazan 2 Li, Huiyuan 2 Mandal, Bhabani Prasad 2 Marquette, Ian 2 Matamala, Adelio R. 2 Mustafa, Omar 2 Mutaf, Haydar 2 Nader, D. J. 2 Nanayakkara, Asiri 2 Neipp, C. 2 Parand, Kourosh 2 Plastino, Angel Luis 2 Quesne, Christiane 2 Rosas-Ortiz, Oscar 2 Safouhi, Hassan 2 Sesma, Javier 2 Sun, Guohua 2 Turbiner, Alexander 2 Vázquez-Leal, Héctor 2 Venkatesan, R. C. 2 Vieira, S. L. R. 2 von Keviczky, Attila Béla 2 Wang, Tongke 2 Yamgoué, Serge Bruno 2 Zhang, Guoyu 2 Zhang, Yanzhi 1 Abayaratne, Chula 1 Abdalla, M. Sebawe 1 Abusini, M. 1 Ahmad, Muhammad Ozair 1 Ahmed, Zafar 1 Al-Jamel, Ahmed 1 Al-Mdallal, Qasem M. 1 Alhaidari, Abdulaziz D. 1 Alharbi, Fahhad H. 1 Alhendi, H. A. 1 Almushaira, Mustafa 1 Alvarado, Carlos A. 1 Alvarez, Fernando E. 1 Araki, Luciano Kiyoshi 1 Aslani, Hamed 1 Atay, Ş. 1 Badday, Alaa Jabbar 1 Bagarello, Fabio ...and 314 more Authors all top 5 Cited in 83 Serials 39 Journal of Mathematical Physics 34 Physics Letters. 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