Edit Profile (opens in new tab) de Castro, Antonio Soares Co-Author Distance Author ID: 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 all top 5 Co-Authors 30 single-authored 18 Castro, Luis B. 4 Cardoso, T. R. 3 Alberto, Pedro 3 Garcia, Marcelo G. 2 Castilho, W. M. 2 Nogueira, Pedro H. F. 2 Pimentel, Douglas Roberto M. 2 Quevedo, Leonardo 1 Antunes, Antonio Carlos Baptista 1 Carvalho, W. S. 1 Castilho, L. C. O. 1 Curi, Elvis J. Aquino 1 da Cruz, N. C. 1 de Oliveira, Luiz P. L. 1 Fiolhais, Manoel 1 Franklin, Jerrold 1 Fusco Nogueira, Pedro H. 1 Hott, Marcelo 1 Ivanov, Evgeniĭ Alekseevich 1 Jirón, Andrés G. 1 Lechtenfeld, Olaf 1 Lisboa, Ronai 1 Malheiro, Manoel 1 Mendrot, V. B. 1 Obispo, Angel E. 1 Pereira, Wiliam G. 1 Pratapsi, Sagar 1 Vilela, Cristiane A. all top 5 Serials 13 Physics Letters. A 10 Annals of Physics 6 European Journal of Physics 5 Journal of Physics A: Mathematical and Theoretical 4 Journal of Physics A: Mathematical and General 4 Bollettino della Unione Matematica Italiana. Series III 3 International Journal of Modern Physics A 3 Journal of Mathematical Chemistry 2 Journal of Mathematical Physics 2 Revista Matematica Hispano-Americana. 4a Serie. Publicada por Real Sociedad Matematica Espanola 2 Gaceta Matemática 1 International Journal of Theoretical Physics 1 Nuclear Physics. B 1 Physics Letters. B 1 Rendiconti del Seminario Matematico della Università di Padova 1 International Journal of Modern Physics D 1 Physica Scripta 1 Rivista di Matematica della Università di Parma all top 5 Fields 47 Quantum theory (81-XX) 7 Ordinary differential equations (34-XX) 7 Partial differential equations (35-XX) 4 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 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 Cited by 5 Authors 1 Bose, Subir K. 1 Brito, Francisco A. 1 Issifu, Adamu 1 Rocha, Julio C. M. 1 Schulze-Halberg, Axel Cited in 2 Serials 1 Physics Letters. A 1 Advances in High Energy Physics Cited in 2 Fields 2 Quantum theory (81-XX) 1 Partial differential equations (35-XX) Citations by Year