Mariano Santander

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All published works

Action	Title	Year	Authors
+ PDF Chat	Superintegrability on the three-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the sphere S <sup>3</sup> and on the hyperbolic space H <sup>3</sup>	2021	José F. Cariñena Manuel F. Rañada Mariano Santander
+	Superintegrability on the 3-dimensional spaces with curvature. Oscillator-related and Kepler-related systems on the Sphere $S^3$ and on the Hyperbolic space $H^3$	2021	José F. Cariñena Manuel F. Rañada Mariano Santander
+	Superintegrability of 3-dimensional Hamiltonian systems with conformally Euclidean metrics. Oscillator-related and Kepler-related systems	2021	José F. Cariñena Manuel F. Rañada Mariano Santander
+ PDF Chat	Cayley--Klein Poisson Homogeneous Spaces	2019	Francisco J. Herranz Ángel Ballesteros Iván Gutiérrez-Sagredo Mariano Santander
+ PDF Chat	Quantization of Hamiltonian systems with a position dependent mass: Killing vector fields and Noether momenta approach	2017	José F. Cariñena Manuel F. Rañada Mariano Santander
+ PDF Chat	A new look at the Feynman ‘hodograph’ approach to the Kepler first law	2016	José F. Cariñena Manuel F. Rañada Mariano Santander
+ PDF Chat	A PERSPECTIVE ON THE MAGIC SQUARE AND THE "SPECIAL UNITARY" REALIZATION OF REAL SIMPLE LIE ALGEBRAS	2013	Mariano Santander
+ PDF Chat	Spectrum generating algebra for the continuous spectrum of a free particle in Lobachevski space	2013	M. Gadella J. Negro G. P. Pronko Mariano Santander
+ PDF Chat	The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach. II	2012	José F. Cariñena Manuel F. Rañada Mariano Santander
+ PDF Chat	Curvature-dependent formalism, Schrödinger equation and energy levels for the harmonic oscillator on three-dimensional spherical and hyperbolic spaces	2012	José F. Cariñena Manuel F. Rañada Mariano Santander
+ PDF Chat	The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach	2011	José F. Cariñena Manuel F. Rañada Mariano Santander
+ PDF Chat	Spectrum generating algebras for the free motion in <i>S</i>3	2011	M. Gadella J. Negro L. M. Nieto G. P. Pronko Mariano Santander
+ PDF Chat	A new proof of the higher-order superintegrability of a noncentral oscillator with inversely quadratic nonlinearities	2010	Manuel F. Rañada Miguel Á. Rodríguez Mariano Santander
+ PDF Chat	Classical and quantum integrability in 3D systems	2008	M. Gadella J. Negro G. P. Pronko Mariano Santander
+	Quantization of a nonlinear oscillator as a model of the harmonic oscillator on spaces of constant curvature: One- and two-dimensional systems	2008	José F. Cariñena Manuel F. Rañada Mariano Santander
+ PDF Chat	The harmonic oscillator on Riemannian and Lorentzian configuration spaces of constant curvature	2008	José F. Cariñena Manuel F. Rañada Mariano Santander
+ PDF Chat	A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator	2008	José F. Cariñena A. M. Perelomov Manuel F. Rañada Mariano Santander
+ PDF Chat	(Anti)de Sitter/Poincaré symmetries and representations from Poincaré/Galilei through a classical deformation approach	2007	Francisco J. Herranz Mariano Santander
+ PDF Chat	Contractions, Deformations and Curvature	2007	Ángel Ballesteros Francisco J. Herranz O. Ragnisco Mariano Santander
+ PDF Chat	A Super-Integrable Two-Dimensional Non-Linear Oscillator with an Exactly Solvable Quantum Analog	2007	José F. Cariñena Manuel F. Rañada Mariano Santander
+ PDF Chat	The quantum harmonic oscillator on the sphere and the hyperbolic plane	2007	José F. Cariñena Manuel F. Rañada Mariano Santander
+	Levi-Civita regularization and geodesic flows for the `curved' Kepler problem	2007	Leonor García-Gutierrez Mariano Santander
+ PDF Chat	A quantum exactly solvable non-linear oscillator with quasi-harmonic behaviour	2006	José F. Cariñena Manuel F. Rañada Mariano Santander
+ PDF Chat	Lagrangian formalism for nonlinear second-order Riccati systems: One-dimensional integrability and two-dimensional superintegrability	2005	José F. Cariñena Manuel F. Rañada Mariano Santander
+ PDF Chat	Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2	2005	José F. Cariñena Manuel F. Rañada Mariano Santander
+	Two important examples of nonlinear oscillators	2005	José F. Cariñena Manuel F. Rañada Mariano Santander
+ PDF Chat	Maximally superintegrable Smorodinsky–Winternitz systems on the 𝑁-dimensional sphere and hyperbolic spaces	2004	Francisco J. Herranz Ángel Ballesteros Mariano Santander Teresa Sanz-Gil
+ PDF Chat	One-dimensional model of a quantum nonlinear harmonic oscillator	2004	José F. Cariñena Manuel F. Rañada Mariano Santander
+ PDF Chat	A non-linear oscillator with quasi-harmonic behaviour: two- and<i>n</i>-dimensional oscillators	2004	José F. Cariñena Manuel F. Rañada Mariano Santander M. Senthilvelan
+ PDF Chat	Maximal superintegrability on<i>N</i>-dimensional curved spaces	2003	Ángel Ballesteros Francisco J. Herranz Mariano Santander Teresa Sanz-Gil
+ PDF Chat	Trigonometry of complex Hermitian -type homogeneous symmetric spaces	2002	Ram n Ortega Mariano Santander
+	Conformal compactification of spacetimes	2002	Francisco J. Herranz Mariano Santander
+ PDF Chat	Conformal symmetries of spacetimes	2002	Francisco J. Herranz Mariano Santander
+	On some properties of harmonic oscillator on spaces of constant curvature	2002	Manuel F. Rañada Mariano Santander
+ PDF Chat	Berry phase in homogeneous Kähler manifolds with linear Hamiltonians	2001	Luis J. Boya A. M. Perelomov Mariano Santander
+ PDF Chat	Conformal compactification and cycle-preserving symmetries of spacetimes	2001	Francisco J. Herranz Mariano Santander
+ PDF Chat	HYDROGEN ATOM AS AN EIGENVALUE PROBLEM IN 3-D SPACES OF CONSTANT CURVATURE AND MINIMAL LENGTH	1999	L. M. Nieto Mariano Santander H. C. Rosu
+	The relativistic Lie algebra expansion: from Galilei to Poincare	1999	Francisco J. Herranz Mariano Santander
+	A new Lie algebra expansion method: Galilei expansions to Poincare and Newton-Hooke	1999	Francisco J. Herranz Mariano Santander
+	The families of orthogonal, unitary and quaternionic unitary Cayley--Klein algebras and their central extensions	1999	Francisco J. Herranz Mariano Santander
+ PDF Chat	2 + 1 kinematical expansions: from Galilei to de Sitter algebras	1999	Francisco J. Herranz Mariano Santander
+ PDF Chat	The family of quaternionic quasi-unitary Lie algebras and their central extensions	1999	Francisco J. Herranz Mariano Santander
+ PDF Chat	Central extensions of the families of quasi-unitary Lie algebras	1998	Francisco J. Herranz J C Pérez Bueno Mariano Santander
+ PDF Chat	Central extensions of the quasi-orthogonal Lie algebras	1998	J. A. de Azcárraga Francisco J. Herranz J C Pérez Bueno Mariano Santander
+ PDF Chat	Casimir invariants for the complete family of quasisimple orthogonal algebras	1997	Francisco J. Herranz Mariano Santander
+ PDF Chat	Graded contractions and bicrossproduct structure of deformed inhomogeneous algebras	1997	J. A. de Azcárraga M. A. del Olmo J C Pérez Bueno Mariano Santander
+	Homogeneous phase spaces: the Cayley-Klein framework	1997	Francisco J. Herranz Mariano Santander
+ PDF Chat	Geometries of Orthogonal Groups and their Contractions: A Unified Classical Deformation Viewpoint	1997	Mariano Santander Francisco J. Herranz
+	Two Dimensional Cayley-Klein Algebras Generated by Expansions	1997	L. M. Nieto J. Negro Mariano Santander
+	"Cayley-Klein" schemes for real Lie algebras and Freudhental Magic Squares	1997	Mariano Santander Francisco J. Herranz
+	Null-plane Quantum Poincaré Algebras and their Universal $R$-matrices	1997	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo Mariano Santander
+	Homogeneous phase spaces: the Cayley-Klein framework	1997	Francisco J. Herranz Mariano Santander
+	The cohomology of so(N+1) contractions	1996	J. A. de Azcárraga Francisco J. Herranz J C Pérez Bueno Mariano Santander
+	The general solution of the real graded contractions of	1996	Francisco J. Herranz Mariano Santander
+ PDF Chat	Non-standard quantum (1+1) Poincare group: a T-matrix approach	1995	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo C.M. Pereña Mariano Santander
+ PDF Chat	Lie bialgebra contractions and quantum deformations of quasi-orthogonal algebras	1995	Ángel Ballesteros Nikolay Gromov Francisco J. Herranz M. A. del Olmo Mariano Santander
+ PDF Chat	Universal R-matrices for non-standard (1+1) quantum groups	1995	Ángel Ballesteros E. Celeghini Francisco J. Herranz M. A. del Olmo Mariano Santander
+ PDF Chat	A new “null-plane” quantum Poincaré algebra	1995	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo Mariano Santander
+ PDF Chat	Quantum algebras for maximal motion groups ofN-dimensional flat spaces	1995	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo Mariano Santander
+ PDF Chat	Non-standard quantum so(2,2) and beyond	1995	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo Mariano Santander
+	Classical deformations, Poisson–Lie contractions, and quantization of dual Lie bialgebras	1995	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo Mariano Santander
+	Deformations of Space-Time Symmetries and Fundamental Scales	1995	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo Mariano Santander
+ PDF Chat	Four-dimensional quantum affine algebras and space–time <i>q</i>-symmetries	1994	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo Mariano Santander
+ PDF Chat	A universal non-quasitriangular quantization of the Heisenberg group	1994	Ángel Ballesteros E. Celeghini Francisco J. Herranz M. A. del Olmo Mariano Santander
+ PDF Chat	Cayley-Klein algebras as graded contractions of so(N+1)	1994	Francisco J. Herranz M. de Montigny M. A. del Olmo Mariano Santander
+	Quantum (2+1) kinematical algebras: a global approach	1994	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo Mariano Santander
+	Poisson--Lie contractions and quantum (1+1) groups	1994	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo Mariano Santander
+	Cayley-Klein Lie Algebras and Their Quantum Universal Enveloping Algebras	1994	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo Mariano Santander
+	Quantum structure of the motion groups of the two-dimensional Cayley-Klein geometries	1993	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo Mariano Santander
+	Conformal geometry of the Kepler orbit space	1991	José F. Cariñena Carlos Monge López M. A. del Olmo Mariano Santander
+	Invariant Electromagnetic Fields	1990	José F. Cariñena José A. González M. A. del Olmo Mariano Santander
+	Dimensional Analysis	1988	José F. Cariñena Mariano Santander
+	Locally operating realizations of transformation Lie groups	1985	José F. Cariñena M. A. del Olmo Mariano Santander
+	Local representation groups	1984	José F. Cariñena M. A. del Olmo Mariano Santander
+	A characterizatton of factor systems of locally-operating representations	1984	José F. Cariñena M. A. del Olmo Mariano Santander
+	Turns for the Lorentz group	1982	M Juarez Mariano Santander
+	Locally-operating realizations of groups and superequivalence of factor systems	1982	José F. Cariñena M. A. del Olmo Mariano Santander
+	Galilean relativistic wave equations	1982	José F. Cariñena Mariano Santander
+	Semiunitary projective representations of the complete Galilei group	1981	José F. Cariñena Mariano Santander
+	Kinematic groups and dimensional analysis	1981	José F. Cariñena M. A. del Olmo Mariano Santander
+	Projective covering group versus representation groups	1980	José F. Cariñena Mariano Santander
+	Semiunitary projective representations of non-connected lie groups: A criterion for the choice of the unitary subgroup	1980	José F. Cariñena Mariano Santander
+	Representation groups for semiunitary projective representations of finite groups	1979	José F. Cariñena Mariano Santander
+	Dilatations and the Poincaré group	1975	Luis J. Boya José F. Cariñena Mariano Santander
+	On the projective unitary representations of connected Lie groups	1975	José F. Cariñena Mariano Santander
+ PDF Chat	On the continuity of the boosts for each orbit	1974	Luis J. Boya José F. Cariñena Mariano Santander

Common Coauthors

Coauthor	Papers Together
Francisco J. Herranz	38
José F. Cariñena	35
M. A. del Olmo	24
Manuel F. Rañada	21
Ángel Ballesteros	19
J. Negro	4
J C Pérez Bueno	4
G. P. Pronko	3
Luis J. Boya	3
J. A. de Azcárraga	3
M. Gadella	3
L. M. Nieto	3
Teresa Sanz-Gil	2
A. M. Perelomov	2
E. Celeghini	2
M Juarez	1
Iván Gutiérrez-Sagredo	1
Leonor García-Gutierrez	1
M. de Montigny	1
O. Ragnisco	1
M. Senthilvelan	1
Nikolay Gromov	1
C.M. Pereña	1
H. C. Rosu	1
José A. González	1
Miguel A. Rodrı́guez	1
Ram n Ortega	1
Carlos Monge López	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	On the Contraction of Groups and Their Representations	1953	Erdal İnönü E. P. Wigner	19
+	Quantum structure of the motion groups of the two-dimensional Cayley-Klein geometries	1993	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo Mariano Santander	15
+	A History of Non-Euclidean Geometry	1988	Boris Rosenfeld	14
+	Discrete and continuous graded contractions of Lie algebras and superalgebras	1991	M. de Montigny J. Patera	13
+	Discrete and continuous graded contractions of representations of Lie algebras	1991	Robert V. Moody J. Patera	13
+ PDF Chat	Cayley-Klein algebras as graded contractions of so(N+1)	1994	Francisco J. Herranz M. de Montigny M. A. del Olmo Mariano Santander	13
+ PDF Chat	Trigonometry of spacetimes: a new self-dual approach to a curvature/signature (in)dependent trigonometry	2000	Francisco J. Herranz Ramón Ortega Mariano Santander	12
+ PDF Chat	On a unique nonlinear oscillator	1974	P. M. Mathews M. Lakshmanan	11
+ PDF Chat	Maximal superintegrability on<i>N</i>-dimensional curved spaces	2003	Ángel Ballesteros Francisco J. Herranz Mariano Santander Teresa Sanz-Gil	10
+	The general solution of the real graded contractions of	1996	Francisco J. Herranz Mariano Santander	10
+ PDF Chat	Superintegrability in a two-dimensional space of nonconstant curvature	2002	E. G. Kalnins J. M. Kress P. Winternitz	9
+ PDF Chat	Completeness of superintegrability in two-dimensional constant-curvature spaces	2001	E. G. Kalnins J. M. Kress G. S. Pogosyan Warner A. Miller	9
+	<i>Lie Groups, Lie Algebras, and Some of Their Applications</i>	1974	Robert Gilmore Róbert Hermann	9
+ PDF Chat	A non-linear oscillator with quasi-harmonic behaviour: two- and<i>n</i>-dimensional oscillators	2004	José F. Cariñena Manuel F. Rañada Mariano Santander M. Senthilvelan	9
+	On the projective unitary representations of connected Lie groups	1975	José F. Cariñena Mariano Santander	9
+	Graded contractions and kinematical groups of space–time	1994	M. de Montigny J. Patera J. Tolar	9
+	Quantum (2+1) kinematical algebras: a global approach	1994	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo Mariano Santander	9
+	Aq-difference analogue of U(g) and the Yang-Baxter equation	1985	Michio Jimbo	9
+	The three-dimensional Euclidean quantum group <i>E</i>(3)<i>q</i> and its <i>R</i>-matrix	1991	E. Celeghini R. Giachetti E. Sorace M. Tarlini	8
+ PDF Chat	Casimir invariants for the complete family of quasisimple orthogonal algebras	1997	Francisco J. Herranz Mariano Santander	8
+	A simple non-Euclidean geometry and its physical basis	1979	I. M. I︠A︡glom	8
+	Representation groups for semiunitary projective representations of finite groups	1979	José F. Cariñena Mariano Santander	8
+ PDF Chat	Central potentials on spaces of constant curvature: The Kepler problem on the two-dimensional sphere S2 and the hyperbolic plane H2	2005	José F. Cariñena Manuel F. Rañada Mariano Santander	8
+ PDF Chat	Deformed oscillator algebras for two-dimensional quantum superintegrable systems	1994	Dennis Bonatsos C. Daskaloyannis Kostas D. Kokkotas	8
+ PDF Chat	Contractions of the irreducible representations of the quantum algebras su<i>q</i>(2) and so<i>q</i>(3)	1992	Nikolay Gromov V. I. Man’ko	8
+	A q-analogue of U(g[(N+1)), Hecke algebra, and the Yang-Baxter equation	1986	Michio Jimbo	8
+ PDF Chat	Conformal symmetries of spacetimes	2002	Francisco J. Herranz Mariano Santander	8
+ PDF Chat	New quantum Poincaré algebra and κ-deformed field theory	1992	J. Lukierski Anatol Nowicki H. Ruegg	8
+ PDF Chat	Coulomb-oscillator duality in spaces of constant curvature	2000	E. G. Kalnins Willard Miller G. S. Pogosyan	7
+ PDF Chat	Quadratic Poisson algebras of two-dimensional classical superintegrable systems and quadratic associative algebras of quantum superintegrable systems	2001	C. Daskaloyannis	7
+	The algebra and group deformations Im [SO(n)⊗SO(m)]⇒SO(n,m), Im [U(n)⊗U(m)]⇒U(n,m), and Im [Sp(n)⊗Sp(m)]⇒Sp(n,m) for 1⩽m⩽n	1974	Kurt Bernardo Wolf Charles P. Boyer	7
+ PDF Chat	Inhomogeneous quantum groups as symmetries of phonons	1992	Francesco Bonechi E. Celeghini R. Giachetti E. Sorace M. Tarlini	7
+	Contractions of quantum groups	1992	E. Celeghini R. Giachetti E. Sorace M. Tarlini	7
+	A Simple Non-Euclidean Geometry and Its Physical Basis	1979	Basil Gordon	7
+ PDF Chat	One-dimensional model of a quantum nonlinear harmonic oscillator	2004	José F. Cariñena Manuel F. Rañada Mariano Santander	7
+ PDF Chat	The quantum harmonic oscillator on the sphere and the hyperbolic plane	2007	José F. Cariñena Manuel F. Rañada Mariano Santander	7
+	The quantum Heisenberg group H(1)<i>q</i>	1991	E. Celeghini R. Giachetti E. Sorace M. Tarlini	6
+	Generalized quantization scheme for Lie algebras	1992	V. D. Lyakhovsky Andrey Mudrov	6
+	Splitting and representation groups for Polish groups	1978	U. Cattaneo	6
+ PDF Chat	Classification of Geometries with Projective Metric	1909	D. M. Y. Sommerville	6
+	More about the q-deformed Poincaré algebra	1992	Stefan Giller Piotr Kosiński M. W. Majewski Paweł Maślanka Jutta Kunz	6
+	Contractions of Lie algebras: Generalized Inönü–Wigner contractions versus graded contractions	1995	Evelyn Weimar‐Woods	6
+	Integrable problems of celestial mechanics in spaces of constant curvature	2005	Т. Г. Возмищева	6
+ PDF Chat	A quantum exactly solvable non-linear oscillator with quasi-harmonic behaviour	2006	José F. Cariñena Manuel F. Rañada Mariano Santander	6
+ PDF Chat	Four-dimensional quantum affine algebras and space–time <i>q</i>-symmetries	1994	Ángel Ballesteros Francisco J. Herranz M. A. del Olmo Mariano Santander	6
+	QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS	1990	Shahn Majid	5
+	Cohomology, central extensions, and (dynamical) groups	1985	V. Aldaya J. A. de Azcárraga	5
+ PDF Chat	Superintegrability on Three-Dimensional Riemannian and Relativistic Spaces of Constant Curvature	2006	Francisco J. Herranz Ángel Ballesteros	5
+ PDF Chat	Group-theoretical foundations of classical mechanics: The Lagrangian gauge problem	1969	Jean-Marc Lévy-Leblond	5
+ PDF Chat	A systematic study on the exact solution of the position dependent mass Schr dinger equation	2003	Ramazan Ko Ramazan Koç	5