×

de Castro, Antonio Soares

Author ID: de-castro.antonio-soares Recent zbMATH articles by "de Castro, Antonio Soares"
Published as: de Castro, Antonio Soares
Documents Indexed: 70 Publications since 1953, including 9 Additional arXiv Preprints
Co-Authors: 1 Co-Author with 1 Joint Publication

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 2 times in 2 Documents Cited by Year
Klein-Gordon particles in mixed vector-scalar inversely linear potentials. Zbl 1136.81432
De Castro, Antonio S.
12
2005
On the nonminimal vector coupling in the Duffin-Kemmer-Petiau theory and the confinement of massive bosons by a linear potential. Zbl 1185.81130
Cardoso, T. R.; Castro, L. B.; de Castro, A. S.
11
2010
Inconsistencies of a purported probability current in the Duffin-Kemmer-Petiau theory. Zbl 1223.81092
Cardoso, T. R.; Castro, L. B.; De Castro, A. S.
10
2008
Comment on ‘Kepler problem in Dirac theory for a particle with position-dependent mass’. Zbl 1073.81571
de Castro, Antonio S.
10
2005
Bound states of the Dirac equation for a class of effective quadratic plus inversely quadratic potentials. Zbl 1045.81021
de Castro, Antonio S.
10
2004
Non-singlet \(Q\)-deformation of the \(\mathcal N=(1,1)\) gauge multiplet in harmonic superspace. Zbl 1178.81245
De Castro, A.; Ivanov, E.; Lechtenfeld, O.; Quevedo, L.
7
2006
Approximate analytical states of a polynomial potential: an example of symmetry restoration. Zbl 1115.65344
de Castro, A. S.; de Souza Dutra, A.
7
2000
Effects due to a scalar coupling on the particle-antiparticle production in the Duffin-Kemmer-Petiau theory. Zbl 1185.81103
Cardoso, T. R.; Castro, L. B.; de Castro, A. S.
7
2010
Spinless bosons embedded in a vector Duffin-Kemmer-Petiau oscillator. Zbl 1250.81030
Castro, L. B.; De Castro, A. S.
7
2011
Exact closed-form solutions of the Dirac equation with a scalar exponential potential. Zbl 1222.81171
de Castro, Antonio S.; Hott, Marcelo
6
2005
Perturbative breaking of the pseudospin symmetry in the relativistic harmonic oscillator. Zbl 1087.83504
Lisboa, Ronai; Malheiro, Manoel; de Castro, A. S.; Alberto, P.; Fiolhais, Manoel
6
2004
A Laplace transform approach to the quantum harmonic oscillator. Zbl 1266.81075
Pimentel, Douglas R. M.; de Castro, Antonio S.
6
2013
Confinement of neutral fermions by a pseudoscalar double-step potential in 1+1 dimensions. Zbl 1008.81020
de Castro, Antonio S.; Pereira, Wiliam G.
5
2003
Point transformations are canonical transformations. Zbl 1079.70525
de Castro, A. S.
4
1999
Scattering of neutral fermions by a pseudoscalar potential step in two-dimensional spacetime. Zbl 1011.81509
de Castro, Antonio S.
4
2003
Bound states by a pseudoscalar Coulomb potential in one-plus-one dimensions. Zbl 1098.81772
de Castro, Antonio S.
4
2003
Effects of a mixed vector-scalar kink-like potential for spinless particles in two-dimensional space-time. Zbl 1124.81014
De Castro, Antonio S.
3
2007
Bound states of the Duffin-Kemmer-Petiau equation with a mixed minimal-nonminimal vector cusp potential. Zbl 1206.81040
de Castro, A. S.
3
2011
Un teorema di confronto per l’equazione differenziale delle oscillazioni di rilassamento. Zbl 0056.08301
De Castro, Antonio
3
1954
Confinement of spinless particles by Coulomb potentials in two-dimensional space-time. Zbl 1195.81090
de Castro, Antonio S.
3
2005
An effective singular oscillator for Duffin-Kemmer-Petiau particles with a nonminimal vector coupling: a two-fold degeneracy. Zbl 1235.81060
Cardoso, T. R.; Castro, L. B.; de Castro, A. S.
2
2012
Relativistic confinement of neutral fermions with a trigonometric tangent potential. Zbl 1105.81029
Castro, Luis B.; De Castro, Antonio S.
2
2007
Exact solutions of the Dirac equation for modified Coulombic potentials. Zbl 1007.81023
de Castro, Antonio Soares; Franklin, Jerrold
2
2000
Scattering and bound states of spinless particles in a mixed vector-scalar smooth step potential. Zbl 1175.81093
Garcia, M. G.; de Castro, A. S.
2
2009
Approximate expression for the energy of a \(D\)-dimensional anharmonic potential. Zbl 1070.81111
de Souza Dutra, A.; de Castro, A. S.; da Silva, E. A.; Castilho, L. C. O.
2
2003
Sull’esistenza ed unicità delle soluzioni periodiche dell’equazione \(\dot x+f(x,\dot x)\dot x+g(x)=0\). Zbl 0057.07005
de Castro, Antonio
2
1954
The peremptory influence of a uniform background for trapping neutral fermions with an inversely linear potential. Zbl 1095.81021
De Castro, Antonio S.
2
2006
Exploring a rheonomic system. Zbl 1221.70021
de Castro, Antonio S.
2
2000
Comment on “Wave functions for a Duffin-Kemmer-Petiau particle in a time-dependent potential” [J. Math. Phys. 48, No. 7, 073515, 5 p. (2007)]. Zbl 1309.81109
Castro, L. B.; de Castro, A. S.
2
2010
New solutions of the \(D\)-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential. Zbl 1367.81047
Garcia, M. G.; de Castro, A. S.; Castro, L. B.; Alberto, P.
2
2017
Non-singlet \(Q\)-deformed \(\mathcal N=(1,0)\) and \(\mathcal N=(1,1/2)\;\mathrm{U}(1)\). Zbl 1248.81222
De Castro, A.; Quevedo, L.
2
2006
Exact solution for a fermion in the background of a scalar inversely linear potential. Zbl 1134.81353
De Castro, Antonio S.
1
2004
Bound states of bosons and fermions in a mixed vector-scalar coupling with unequal shapes for the potentials. Zbl 1139.81336
Castro, Luis B.; de Castro, Antonio S.
1
2008
A pulsating Gaussian wave packet. Zbl 1078.81523
de Castro, A. S.; da Cruz, N. C.
1
1999
Comment on ’Relativistic extension of shape-invariant potentials’. Zbl 1066.81633
de Castro, Antonio S.
1
2002
Bounded solutions of neutral fermions with a screened Coulomb potential. Zbl 1078.81018
De Castro, Antonio S.
1
2005
Bounded solutions of fermions in the background of mixed vector-scalar inversely linear potentials. Zbl 1068.81020
de Castro, Antonio S.
1
2005
Missing solution in a Cornell potential. Zbl 1348.81225
Castro, L. B.; de Castro, A. S.
1
2013
From the generalized Morse potential to a unified treatment of the \(D\)-dimensional singular harmonic oscillator and singular Coulomb potentials. Zbl 1367.81082
Nogueira, Pedro H. F.; de Castro, Antonio S.
1
2016
Pseudospin and spin symmetries in \(1+1\) dimensions: the case of the Coulomb potential. Zbl 1343.81068
Castro, Luis B.; de Castro, Antonio S.; Alberto, Pedro
1
2015
Sopra l’equazione differenziale delle oscillazioni non-lineari. Zbl 0051.06703
de Castro, Antonio
1
1953
Soluzioni periodiche di una equazione differenziale del secondo ordine. Zbl 0052.09102
de Castro, Antonio
1
1953
Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential. Zbl 1374.81045
Garcia, M. G.; de Castro, A. S.; Alberto, P.; Castro, L. B.
1
2017
Revisiting the quantum harmonic oscillator via unilateral Fourier transforms. Zbl 1338.81192
Nogueira, Pedro H. F.; de Castro, Antonio S.
1
2016
A large class of bound-state solutions of the Schrödinger equation via Laplace transform of the confluent hypergeometric equation. Zbl 1345.81034
Fusco Nogueira, Pedro H.; de Castro, A. S.; Pimentel, Douglas Roberto M.
1
2016
On Duffin-Kemmer-Petiau particles with a mixed minimal-nonminimal vector coupling and the nondegenerate bound-states for the one-dimensional inversely linear background. Zbl 1314.81101
de Castro, A. S.
1
2010
Confinement of fermions by mixed vector-scalar linear potentials in two-dimensional space-time. Zbl 1001.81054
de Castro, Antonio S.
1
2002
New solutions of the \(D\)-dimensional Klein-Gordon equation via mapping onto the nonrelativistic one-dimensional Morse potential. Zbl 1367.81047
Garcia, M. G.; de Castro, A. S.; Castro, L. B.; Alberto, P.
2
2017
Solutions of the three-dimensional radial Dirac equation from the Schrödinger equation with one-dimensional Morse potential. Zbl 1374.81045
Garcia, M. G.; de Castro, A. S.; Alberto, P.; Castro, L. B.
1
2017
From the generalized Morse potential to a unified treatment of the \(D\)-dimensional singular harmonic oscillator and singular Coulomb potentials. Zbl 1367.81082
Nogueira, Pedro H. F.; de Castro, Antonio S.
1
2016
Revisiting the quantum harmonic oscillator via unilateral Fourier transforms. Zbl 1338.81192
Nogueira, Pedro H. F.; de Castro, Antonio S.
1
2016
A large class of bound-state solutions of the Schrödinger equation via Laplace transform of the confluent hypergeometric equation. Zbl 1345.81034
Fusco Nogueira, Pedro H.; de Castro, A. S.; Pimentel, Douglas Roberto M.
1
2016
Pseudospin and spin symmetries in \(1+1\) dimensions: the case of the Coulomb potential. Zbl 1343.81068
Castro, Luis B.; de Castro, Antonio S.; Alberto, Pedro
1
2015
A Laplace transform approach to the quantum harmonic oscillator. Zbl 1266.81075
Pimentel, Douglas R. M.; de Castro, Antonio S.
6
2013
Missing solution in a Cornell potential. Zbl 1348.81225
Castro, L. B.; de Castro, A. S.
1
2013
An effective singular oscillator for Duffin-Kemmer-Petiau particles with a nonminimal vector coupling: a two-fold degeneracy. Zbl 1235.81060
Cardoso, T. R.; Castro, L. B.; de Castro, A. S.
2
2012
Spinless bosons embedded in a vector Duffin-Kemmer-Petiau oscillator. Zbl 1250.81030
Castro, L. B.; De Castro, A. S.
7
2011
Bound states of the Duffin-Kemmer-Petiau equation with a mixed minimal-nonminimal vector cusp potential. Zbl 1206.81040
de Castro, A. S.
3
2011
On the nonminimal vector coupling in the Duffin-Kemmer-Petiau theory and the confinement of massive bosons by a linear potential. Zbl 1185.81130
Cardoso, T. R.; Castro, L. B.; de Castro, A. S.
11
2010
Effects due to a scalar coupling on the particle-antiparticle production in the Duffin-Kemmer-Petiau theory. Zbl 1185.81103
Cardoso, T. R.; Castro, L. B.; de Castro, A. S.
7
2010
Comment on “Wave functions for a Duffin-Kemmer-Petiau particle in a time-dependent potential” [J. Math. Phys. 48, No. 7, 073515, 5 p. (2007)]. Zbl 1309.81109
Castro, L. B.; de Castro, A. S.
2
2010
On Duffin-Kemmer-Petiau particles with a mixed minimal-nonminimal vector coupling and the nondegenerate bound-states for the one-dimensional inversely linear background. Zbl 1314.81101
de Castro, A. S.
1
2010
Scattering and bound states of spinless particles in a mixed vector-scalar smooth step potential. Zbl 1175.81093
Garcia, M. G.; de Castro, A. S.
2
2009
Inconsistencies of a purported probability current in the Duffin-Kemmer-Petiau theory. Zbl 1223.81092
Cardoso, T. R.; Castro, L. B.; De Castro, A. S.
10
2008
Bound states of bosons and fermions in a mixed vector-scalar coupling with unequal shapes for the potentials. Zbl 1139.81336
Castro, Luis B.; de Castro, Antonio S.
1
2008
Effects of a mixed vector-scalar kink-like potential for spinless particles in two-dimensional space-time. Zbl 1124.81014
De Castro, Antonio S.
3
2007
Relativistic confinement of neutral fermions with a trigonometric tangent potential. Zbl 1105.81029
Castro, Luis B.; De Castro, Antonio S.
2
2007
Non-singlet \(Q\)-deformation of the \(\mathcal N=(1,1)\) gauge multiplet in harmonic superspace. Zbl 1178.81245
De Castro, A.; Ivanov, E.; Lechtenfeld, O.; Quevedo, L.
7
2006
The peremptory influence of a uniform background for trapping neutral fermions with an inversely linear potential. Zbl 1095.81021
De Castro, Antonio S.
2
2006
Non-singlet \(Q\)-deformed \(\mathcal N=(1,0)\) and \(\mathcal N=(1,1/2)\;\mathrm{U}(1)\). Zbl 1248.81222
De Castro, A.; Quevedo, L.
2
2006
Klein-Gordon particles in mixed vector-scalar inversely linear potentials. Zbl 1136.81432
De Castro, Antonio S.
12
2005
Comment on ‘Kepler problem in Dirac theory for a particle with position-dependent mass’. Zbl 1073.81571
de Castro, Antonio S.
10
2005
Exact closed-form solutions of the Dirac equation with a scalar exponential potential. Zbl 1222.81171
de Castro, Antonio S.; Hott, Marcelo
6
2005
Confinement of spinless particles by Coulomb potentials in two-dimensional space-time. Zbl 1195.81090
de Castro, Antonio S.
3
2005
Bounded solutions of neutral fermions with a screened Coulomb potential. Zbl 1078.81018
De Castro, Antonio S.
1
2005
Bounded solutions of fermions in the background of mixed vector-scalar inversely linear potentials. Zbl 1068.81020
de Castro, Antonio S.
1
2005
Bound states of the Dirac equation for a class of effective quadratic plus inversely quadratic potentials. Zbl 1045.81021
de Castro, Antonio S.
10
2004
Perturbative breaking of the pseudospin symmetry in the relativistic harmonic oscillator. Zbl 1087.83504
Lisboa, Ronai; Malheiro, Manoel; de Castro, A. S.; Alberto, P.; Fiolhais, Manoel
6
2004
Exact solution for a fermion in the background of a scalar inversely linear potential. Zbl 1134.81353
De Castro, Antonio S.
1
2004
Confinement of neutral fermions by a pseudoscalar double-step potential in 1+1 dimensions. Zbl 1008.81020
de Castro, Antonio S.; Pereira, Wiliam G.
5
2003
Scattering of neutral fermions by a pseudoscalar potential step in two-dimensional spacetime. Zbl 1011.81509
de Castro, Antonio S.
4
2003
Bound states by a pseudoscalar Coulomb potential in one-plus-one dimensions. Zbl 1098.81772
de Castro, Antonio S.
4
2003
Approximate expression for the energy of a \(D\)-dimensional anharmonic potential. Zbl 1070.81111
de Souza Dutra, A.; de Castro, A. S.; da Silva, E. A.; Castilho, L. C. O.
2
2003
Comment on ’Relativistic extension of shape-invariant potentials’. Zbl 1066.81633
de Castro, Antonio S.
1
2002
Confinement of fermions by mixed vector-scalar linear potentials in two-dimensional space-time. Zbl 1001.81054
de Castro, Antonio S.
1
2002
Approximate analytical states of a polynomial potential: an example of symmetry restoration. Zbl 1115.65344
de Castro, A. S.; de Souza Dutra, A.
7
2000
Exact solutions of the Dirac equation for modified Coulombic potentials. Zbl 1007.81023
de Castro, Antonio Soares; Franklin, Jerrold
2
2000
Exploring a rheonomic system. Zbl 1221.70021
de Castro, Antonio S.
2
2000
Point transformations are canonical transformations. Zbl 1079.70525
de Castro, A. S.
4
1999
A pulsating Gaussian wave packet. Zbl 1078.81523
de Castro, A. S.; da Cruz, N. C.
1
1999
Un teorema di confronto per l’equazione differenziale delle oscillazioni di rilassamento. Zbl 0056.08301
De Castro, Antonio
3
1954
Sull’esistenza ed unicità delle soluzioni periodiche dell’equazione \(\dot x+f(x,\dot x)\dot x+g(x)=0\). Zbl 0057.07005
de Castro, Antonio
2
1954
Sopra l’equazione differenziale delle oscillazioni non-lineari. Zbl 0051.06703
de Castro, Antonio
1
1953
Soluzioni periodiche di una equazione differenziale del secondo ordine. Zbl 0052.09102
de Castro, Antonio
1
1953

Citations by Year