Edit Profile (opens in new tab) Castaños, Octavio Co-Author Distance Author ID: castanos.octavio Published as: Castaños, O.; Castaños, Octavio; Castanos, O. more...less Documents Indexed: 52 Publications since 1978, including 2 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 41 Co-Authors with 55 Joint Publications 830 Co-Co-Authors all top 5 Co-Authors 0 single-authored 27 López-Peña, Ramón 12 Man’ko, Vladimir Ivanovich 11 Nahmad-Achar, Eduardo 9 Hirsch, Jorge G. 8 Moshinsky, Marcos 7 Frank, Alejandro 6 Man’ko, Margarita A. 5 Schuch, Dieter 4 Calixto, Manuel 4 Cordero, Sergio 4 Romera, Elvira 4 Rosas-Ortiz, Oscar 3 Figueroa, Armando 3 López-Saldívar, Julio A. 2 Cruz, Hans 2 Hacyan, Shahen 2 Kramer, Peter 2 López-Moreno, Enrique 2 Marmo, Giuseppe 2 Vitela, Javier E. 1 Bahri, Carla 1 Cordero, Nicolás A. 1 Cruz-Prado, Hans 1 Draayer, Jerry P. 1 Escher, Jutta E. 1 González-Alonso, José Raúl 1 Hess, Peter Otto 1 Jamilov, Uygun U. 1 López, Julio E. 1 Moya-Cessa, Héctor Manuel 1 Pérez-Bernal, Francisco 1 Pérez-Campos, Citlali 1 Pittel, Stuart 1 Quesne, Christiane 1 Rozikov, Utkir A. 1 Shirokov, A. M. 1 Smirnov, Yu. F. 1 Smirnova, N. A. 1 Stoicheva, Gergana 1 Urrutia, Luis F. 1 Wolf, Kurt Bernardo all top 5 Serials 9 Journal of Physics A: Mathematical and General 7 Journal of Mathematical Physics 7 Journal of Physics A: Mathematical and Theoretical 4 Physica Scripta 3 Annals of Physics 2 Physica A 2 Journal of Statistical Mechanics: Theory and Experiment 2 Revista Mexicana Física 1 Modern Physics Letters A 1 Applied Mathematics and Computation 1 Kinam 1 Quantum Information Processing 1 Uzbek Mathematical Journal all top 5 Fields 45 Quantum theory (81-XX) 13 Topological groups, Lie groups (22-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Partial differential equations (35-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Optics, electromagnetic theory (78-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 31 Publications have been cited 124 times in 77 Documents Cited by ▼ Year ▼ Group theory of the interacting Boson model of the nucleus. Zbl 0415.22028 Castanos, O.; Chacon, E.; Frank, A.; Moshinsky, M. 16 1979 New supersymmetry-generated complex potentials with real spectra. Zbl 1327.81216 Rosas-Ortiz, Oscar; Castaños, Octavio; Schuch, Dieter 12 2015 Boson realization of sp(4,\({\mathbb{R}})\). II: The generating kernel formulation. Zbl 0592.22017 Castaños, O.; Kramer, P.; Moshinsky, M. 11 1986 A semi-classical versus quantum description of the ground state of three-level atoms interacting with a one-mode electromagnetic field. Zbl 1280.81161 Cordero, S.; Castaños, O.; López-Peña, R.; Nahmad-Achar, E. 10 2013 Boson realization of \({\mathfrak sp}(4)\). I: The matrix formulation. Zbl 0575.22022 Castaños, O.; Chacón, E.; Moshinsky, M.; Quesne, C. 8 1985 Analytic expressions for the matrix elements of generators of Sp(6) in an Sp(6)\(\supset U(3)\) basis. Zbl 0556.22010 Castaños, O.; Chacón, E.; Moshinsky, M. 7 1984 Generalized coherent states for time-dependent and nonlinear Hamiltonian operators via complex Riccati equations. Zbl 1264.81252 Castaños, Octavio; Schuch, Dieter; Rosas-Ortiz, Oscar 7 2013 Time-evolution of quantum systems via a complex nonlinear Riccati equation. I: Conservative systems with time-independent Hamiltonian. Zbl 1360.81139 Cruz, Hans; Schuch, Dieter; Castaños, Octavio; Rosas-Ortiz, Oscar 6 2015 Matrix representation of the generators of symplectic algebras. I: The case of \(\mathrm{sp}(4, \mathbb R)\). Zbl 0633.22006 Castaños, O.; Moshinsky, M. 4 1987 Entanglement and localization of a two-mode Bose-Einstein condensate. Zbl 1185.82021 Pérez-Campos, Citlali; González-Alonso, José Raúl; Castaños, Octavio; López-Peña, Ramón 4 2010 Time-evolution of quantum systems via a complex nonlinear Riccati equation. II: Dissipative systems. Zbl 1380.81171 Cruz, Hans; Schuch, Dieter; Castaños, Octavio; Rosas-Ortiz, Oscar 4 2016 The gradient formula for the \(O(5)\supset O(3)\) chain of groups. Zbl 0409.22015 Castanos, O.; Frank, A.; Moshinsky, M. 4 1978 Crystallized Schrödinger cat states. Zbl 0897.58047 Castaños, O.; López-Peña, R.; Man’ko, V. I. 3 1995 Collectivity and geometry. III: The three-dimensional case in the Sp(6)\(\supset Sp(2)\times O(3)\) chain for closed shells. Zbl 0585.22016 Castaños, O.; Chacón, E.; Moshinsky, M. 3 1984 Analytic description of the super-radiant regime in the Dicke model. Zbl 1271.81213 Nahmad-Achar, E.; Castaños, O.; López-Peña, R.; Hirsch, J. G. 3 2012 New entropic inequalities for qubit and unimodal Gaussian states. Zbl 1514.82037 López-Saldívar, J. A.; Castaños, O.; Man’ko, M. A.; Man’ko, V. I. 3 2018 Noether’s theorem and time-dependent quantum invariants. Zbl 0846.70014 Castaños, O.; López-Peña, R.; Man’ko, V. I. 2 1994 Mathematical methods in quantum optics: the Dicke model. Zbl 1266.81167 Nahmad-Achar, Eduardo; Castaños, Octavio; López-Peña, Ramón; Hirsch, Jorge G. 2 2013 Delocalization properties at isolated avoided crossings in Lipkin-Meshkov-Glick type Hamiltonian models. Zbl 1457.82124 Romera, Elvira; Castaños, Octavio; Calixto, Manuel; Pérez-Bernal, Francisco 2 2017 Entanglement and quantum phase diagrams of symmetric multi-qubit systems. Zbl 1457.82020 Calixto, Manuel; Castaños, Octavio; Romera, Elvira 2 2017 Schrödinger cat states in a Penning trap. Zbl 0904.34069 Castaños, O.; Hacyan, S.; López-Peña, R.; Man’ko, V. I. 1 1998 Analytic approximation of the Tavis-Cummings ground state via projected states. Zbl 1183.81127 Castaños, Octavio; Nahmad-Achar, Eduardo; López-Peña, Ramón; Hirsch, Jorge G. 1 2009 Generation and dynamics of crystallised-type states of light within the Tavis-Cummings model. Zbl 1390.81769 Castaños, O.; Cordero, S.; Nahmad-Achar, E.; López-Peña, R. 1 2017 Coherent state description of the ground state in the Tavis-Cummings model and its quantum phase transitions. Zbl 1170.81384 Castaños, Octavio; López-Peña, Ramón; Nahmad-Achar, Eduardo; Hirsch, Jorge G.; López-Moreno, Enrique; Vitela, Javier E. 1 2009 Squeeze tomography of quantum states. Zbl 1064.81071 Castaños, Octavio; López-Peña, Ramón; Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2004 Noether’s theorem and dynamical groups in quantum mechanics. Zbl 0713.70020 Castaños, O.; Frank, A.; Lopez-Peña, R. 1 1990 Squeezing operator and squeeze tomography. Zbl 1137.81020 Castaños, Octavio; López-Peña, Ramón; Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2006 A sequential niching memetic algorithm for continuous multimodal function optimization. Zbl 1245.90153 Vitela, Javier E.; Castaños, Octavio 1 2012 Entropy-energy inequalities for qudit states. Zbl 1309.15018 Figueroa, Armando; López, Julio; Castaños, Octavio; López-Peña, Ramón; Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2015 Virtues and limitations of the truncated Holstein-Primakoff description of quantum rotors. Zbl 1266.81101 Hirsch, Jorge G.; Castaños, Octavio; López-Peña, Ramón; Nahmad-Achar, Eduardo 1 2013 Kernel of star-product for spin tomograms. Zbl 1032.81035 Castaños, Octavio; López-Peña, Ramón; Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2003 New entropic inequalities for qubit and unimodal Gaussian states. Zbl 1514.82037 López-Saldívar, J. A.; Castaños, O.; Man’ko, M. A.; Man’ko, V. I. 3 2018 Delocalization properties at isolated avoided crossings in Lipkin-Meshkov-Glick type Hamiltonian models. Zbl 1457.82124 Romera, Elvira; Castaños, Octavio; Calixto, Manuel; Pérez-Bernal, Francisco 2 2017 Entanglement and quantum phase diagrams of symmetric multi-qubit systems. Zbl 1457.82020 Calixto, Manuel; Castaños, Octavio; Romera, Elvira 2 2017 Generation and dynamics of crystallised-type states of light within the Tavis-Cummings model. Zbl 1390.81769 Castaños, O.; Cordero, S.; Nahmad-Achar, E.; López-Peña, R. 1 2017 Time-evolution of quantum systems via a complex nonlinear Riccati equation. II: Dissipative systems. Zbl 1380.81171 Cruz, Hans; Schuch, Dieter; Castaños, Octavio; Rosas-Ortiz, Oscar 4 2016 New supersymmetry-generated complex potentials with real spectra. Zbl 1327.81216 Rosas-Ortiz, Oscar; Castaños, Octavio; Schuch, Dieter 12 2015 Time-evolution of quantum systems via a complex nonlinear Riccati equation. I: Conservative systems with time-independent Hamiltonian. Zbl 1360.81139 Cruz, Hans; Schuch, Dieter; Castaños, Octavio; Rosas-Ortiz, Oscar 6 2015 Entropy-energy inequalities for qudit states. Zbl 1309.15018 Figueroa, Armando; López, Julio; Castaños, Octavio; López-Peña, Ramón; Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2015 A semi-classical versus quantum description of the ground state of three-level atoms interacting with a one-mode electromagnetic field. Zbl 1280.81161 Cordero, S.; Castaños, O.; López-Peña, R.; Nahmad-Achar, E. 10 2013 Generalized coherent states for time-dependent and nonlinear Hamiltonian operators via complex Riccati equations. Zbl 1264.81252 Castaños, Octavio; Schuch, Dieter; Rosas-Ortiz, Oscar 7 2013 Mathematical methods in quantum optics: the Dicke model. Zbl 1266.81167 Nahmad-Achar, Eduardo; Castaños, Octavio; López-Peña, Ramón; Hirsch, Jorge G. 2 2013 Virtues and limitations of the truncated Holstein-Primakoff description of quantum rotors. Zbl 1266.81101 Hirsch, Jorge G.; Castaños, Octavio; López-Peña, Ramón; Nahmad-Achar, Eduardo 1 2013 Analytic description of the super-radiant regime in the Dicke model. Zbl 1271.81213 Nahmad-Achar, E.; Castaños, O.; López-Peña, R.; Hirsch, J. G. 3 2012 A sequential niching memetic algorithm for continuous multimodal function optimization. Zbl 1245.90153 Vitela, Javier E.; Castaños, Octavio 1 2012 Entanglement and localization of a two-mode Bose-Einstein condensate. Zbl 1185.82021 Pérez-Campos, Citlali; González-Alonso, José Raúl; Castaños, Octavio; López-Peña, Ramón 4 2010 Analytic approximation of the Tavis-Cummings ground state via projected states. Zbl 1183.81127 Castaños, Octavio; Nahmad-Achar, Eduardo; López-Peña, Ramón; Hirsch, Jorge G. 1 2009 Coherent state description of the ground state in the Tavis-Cummings model and its quantum phase transitions. Zbl 1170.81384 Castaños, Octavio; López-Peña, Ramón; Nahmad-Achar, Eduardo; Hirsch, Jorge G.; López-Moreno, Enrique; Vitela, Javier E. 1 2009 Squeezing operator and squeeze tomography. Zbl 1137.81020 Castaños, Octavio; López-Peña, Ramón; Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2006 Squeeze tomography of quantum states. Zbl 1064.81071 Castaños, Octavio; López-Peña, Ramón; Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2004 Kernel of star-product for spin tomograms. Zbl 1032.81035 Castaños, Octavio; López-Peña, Ramón; Man’ko, Margarita A.; Man’ko, Vladimir I. 1 2003 Schrödinger cat states in a Penning trap. Zbl 0904.34069 Castaños, O.; Hacyan, S.; López-Peña, R.; Man’ko, V. I. 1 1998 Crystallized Schrödinger cat states. Zbl 0897.58047 Castaños, O.; López-Peña, R.; Man’ko, V. I. 3 1995 Noether’s theorem and time-dependent quantum invariants. Zbl 0846.70014 Castaños, O.; López-Peña, R.; Man’ko, V. I. 2 1994 Noether’s theorem and dynamical groups in quantum mechanics. Zbl 0713.70020 Castaños, O.; Frank, A.; Lopez-Peña, R. 1 1990 Matrix representation of the generators of symplectic algebras. I: The case of \(\mathrm{sp}(4, \mathbb R)\). Zbl 0633.22006 Castaños, O.; Moshinsky, M. 4 1987 Boson realization of sp(4,\({\mathbb{R}})\). II: The generating kernel formulation. Zbl 0592.22017 Castaños, O.; Kramer, P.; Moshinsky, M. 11 1986 Boson realization of \({\mathfrak sp}(4)\). I: The matrix formulation. Zbl 0575.22022 Castaños, O.; Chacón, E.; Moshinsky, M.; Quesne, C. 8 1985 Analytic expressions for the matrix elements of generators of Sp(6) in an Sp(6)\(\supset U(3)\) basis. Zbl 0556.22010 Castaños, O.; Chacón, E.; Moshinsky, M. 7 1984 Collectivity and geometry. III: The three-dimensional case in the Sp(6)\(\supset Sp(2)\times O(3)\) chain for closed shells. Zbl 0585.22016 Castaños, O.; Chacón, E.; Moshinsky, M. 3 1984 Group theory of the interacting Boson model of the nucleus. Zbl 0415.22028 Castanos, O.; Chacon, E.; Frank, A.; Moshinsky, M. 16 1979 The gradient formula for the \(O(5)\supset O(3)\) chain of groups. Zbl 0409.22015 Castanos, O.; Frank, A.; Moshinsky, M. 4 1978 all cited Publications top 5 cited Publications all top 5 Cited by 127 Authors 10 Castaños, Octavio 7 Moshinsky, Marcos 6 Calixto, Manuel 6 Rosas-Ortiz, Oscar 6 Zelaya, Kevin 5 Cruz y Cruz, Sara 5 Man’ko, Vladimir Ivanovich 4 López-Peña, Ramón 4 Quesne, Christiane 3 Cordero, Sergio 3 Guerrero, Julio 3 Hess, Peter Otto 3 Hussin, Véronique 3 López-Saldívar, Julio A. 3 Marmo, Giuseppe 3 Nahmad-Achar, Eduardo 2 Blokhin, A. L. 2 Fakhri, Hossein 2 Filippov, G. F. 2 Gress, Zulema 2 Jin, Shuo 2 Man’ko, Margarita A. 2 Man’ko, Olga V. 2 Mayorgas, Alberto 2 Rowe, David J. 2 Sayyah-Fard, M. 2 Schuch, Dieter 2 Xie, Binghao 1 Abdel-Rady, A. S. 1 Afra, M. 1 Ali Akbar, M. 1 Arjika, Sama 1 Avanesov, Ashot 1 Baake, Michael 1 Bagchi, Bijan Kumar 1 Bahnassy, S. A. 1 Barnea, Nir 1 Bastarrachea-Magnani, Miguel A. 1 Bijker, Roelof 1 Blanco-Garcia, Zurika 1 Bonilla-Licea, Moise 1 Boudjedaa, Tahar 1 Boudjema-Bouloudenine, M. 1 Bravetti, Alessandro 1 Castilho Alcarás, J. A. 1 Cejnar, Pavel 1 Chávez-Carlos, Jorge 1 Chen, Jianxin 1 Chernega, Vladimir N. 1 Cordero, Nicolás A. 1 Crus y Cruz, S. 1 Cruz-Prado, Hans 1 Cruz, Hans 1 de Lucas, Javier 1 Draayer, Jerry P. 1 Elassawy, F. M. 1 Ellabaan, M. M. 1 Enríquez, Marco 1 Escher, Jutta E. 1 Figueroa, Armando 1 Frank, Alejandro 1 Gilhare, Karuna 1 Grenet, Genevieve 1 Gruber, Bruno J. 1 Haas, Fernando 1 Handoko, S. D. 1 Hassan, Samia S. A. 1 Hecht, Karl T. 1 Hirsch, Jorge G. 1 Iachello, Francesco 1 Islam, Mohammad Shafiqul 1 Ji, Zhengfeng 1 Jiménez-Macías, P. 1 Katkevičius, O. 1 Khan, Kamruzzaman 1 Kibler, Maurice R. 1 Klimyk, Anatoliy Ul’yanovich 1 Kloc, Michal 1 Kramer, Peter 1 Krasta, T. 1 Kwoh, Chee-Keong 1 Leone, Raphaël 1 Lerma-Hernández, Sergio 1 Lev, Felix M. 1 Li, Chi-Kwong 1 López-del-Carpio, B. 1 Lu, Yongchuan 1 Macek, Michal 1 Makhlouf, Abdenacer 1 Man, Hongying 1 Marquette, Ian 1 Moshinksky, M. 1 Ong, Yew-Soon 1 Osman, Abdel-Nasser A. 1 Papaloucas, Loucas C. 1 Peón-Nieto, Carlos 1 Pérez-Romero, Emilio 1 Poon, Yiu-Tung 1 Quezada, Luis Fernando 1 Reinicke, P. ...and 27 more Authors all top 5 Cited in 21 Serials 34 Journal of Mathematical Physics 9 Journal of Physics A: Mathematical and Theoretical 4 International Journal of Theoretical Physics 4 Physica A 3 Quantum Information Processing 2 Theoretical and Mathematical Physics 1 Computers & Mathematics with Applications 1 European Journal of Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 Annals of Physics 1 Open Systems & Information Dynamics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 New Journal of Physics 1 Journal of Statistical Mechanics: Theory and Experiment 1 Foundations of Physics 1 The European Physical Journal C. Particles and Fields 1 Advances in Mathematical Physics 1 Symmetry 1 Cogent Mathematics all top 5 Cited in 26 Fields 64 Quantum theory (81-XX) 22 Topological groups, Lie groups (22-XX) 11 Nonassociative rings and algebras (17-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 Group theory and generalizations (20-XX) 8 Partial differential equations (35-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of particles and systems (70-XX) 6 Optics, electromagnetic theory (78-XX) 4 Ordinary differential equations (34-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 3 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Citations by Year