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Fernández, Francisco Marcelo

Author ID: fernandez.francisco-m Recent zbMATH articles by "Fernández, Francisco Marcelo"
Published as: Fernández, Francisco M.; Fernández, F. M.; Fernandez, Francisco M.; Fernandez, F. M.
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Publications by Year

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 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. A
30 Journal of Mathematical Chemistry
20 International Journal of Theoretical Physics
16 Applied Mathematics and Computation
15 Annals of Physics
13 Modern Physics Letters A
10 Journal of Computational and Applied Mathematics
8 European Journal of Physics
7 Journal of Physics A: Mathematical and Theoretical
5 International Journal of Modern Physics A
5 Computers & Mathematics with Applications
4 International Journal of Modern Physics B
4 Journal of Computational Physics
4 Chaos, Solitons and Fractals
3 Applied Numerical Mathematics
3 Nonlinear Dynamics
3 Communications in Nonlinear Science and Numerical Simulation
3 Communications in Theoretical Physics
2 Computer Physics Communications
2 Physica A
2 Physics Reports
2 Physica D
2 Journal of Scientific Computing
2 Applied Mathematical Modelling
2 International Journal of Computer Mathematics
2 Mathematical Problems in Engineering
2 Journal of Modern Optics
2 Nonlinear Analysis. Real World Applications
2 Journal of Applied Mathematics
2 Quantum Information Processing
2 Journal of Algebra and its Applications
2 Advances in Difference Equations
2 Foundations of Physics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Chinese Journal of Physics (Taipei)
2 Advances in Mathematical Physics
1 Communications in Algebra
1 Journal of Engineering Mathematics
1 Nuclear Physics. B
1 Physics Letters. B
1 Fortschritte der Physik
1 Econometrica
1 Journal of Algebra
1 Journal of Soviet Mathematics
1 Mathematics and Computers in Simulation
1 Mechanics Research Communications
1 SIAM Journal on Numerical Analysis
1 Studies in Applied Mathematics
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Numerical Algorithms
1 Computational Statistics
1 SIAM Journal on Scientific Computing
1 Computational and Applied Mathematics
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Fractals
1 Advances in Computational Mathematics
1 Integral Transforms and Special Functions
1 Engineering Analysis with Boundary Elements
1 Discrete Dynamics in Nature and Society
1 Russian Physics Journal
1 Gravitation & Cosmology
1 Czechoslovak Journal of Physics
1 Differential Equations
1 International Journal of Geometric Methods in Modern Physics
1 Journal of Statistical Mechanics: Theory and Experiment
1 Engineering Optimization
1 Inverse Problems in Science and Engineering
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 Advances in High Energy Physics
1 Acta Universitatis Sapientiae. Mathematica
1 Journal of Pseudo-Differential Operators and Applications
1 Annalen der Physik
1 Journal of Mathematics
1 Journal of Applied Nonlinear Dynamics
1 Iranian Journal of Numerical Analysis and Optimization
1 International Journal of Applied and Computational Mathematics
1 Open Mathematics
1 Korean Journal of Mathematics
1 SN Partial Differential Equations and Applications
1 Journal of Computational Physics: X
all top 5

Cited in 45 Fields

182 Quantum theory (81-XX)
84 Numerical analysis (65-XX)
80 Partial differential equations (35-XX)
51 Ordinary differential equations (34-XX)
19 Mechanics of particles and systems (70-XX)
19 Statistical mechanics, structure of matter (82-XX)
14 Special functions (33-XX)
12 Operator theory (47-XX)
12 Biology and other natural sciences (92-XX)
11 Fluid mechanics (76-XX)
10 Dynamical systems and ergodic theory (37-XX)
9 Nonassociative rings and algebras (17-XX)
9 Approximations and expansions (41-XX)
5 Algebraic geometry (14-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Topological groups, Lie groups (22-XX)
4 Real functions (26-XX)
4 Integral equations (45-XX)
4 Functional analysis (46-XX)
4 Mechanics of deformable solids (74-XX)
3 Difference and functional equations (39-XX)
3 Sequences, series, summability (40-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Optics, electromagnetic theory (78-XX)
3 Relativity and gravitational theory (83-XX)
3 Systems theory; control (93-XX)
2 Functions of a complex variable (30-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geometry (51-XX)
2 Statistics (62-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 General algebraic systems (08-XX)
1 Number theory (11-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Manifolds and cell complexes (57-XX)
1 Probability theory and stochastic processes (60-XX)
1 Computer science (68-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

Citations by Year