Now showing items 1-20 of 23

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      A general algebraic model for molecular vibrational spectroscopy  [Article]

      Frank, Alejandro; Lemus Casillas, Renato; Bijker, R.; Pérez Bernal, Francisco; Arias Carrasco, José Miguel (Elsevier, 1996)
      We introduce the anharmonic oscillator symmetry model to describe vibrational excitations in molecular systems exhibiting a high degree of symmetry. A systematic procedure is proposed to establish the relation between the ...
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      A local anharmonic treatment of vibrations of methane  [Article]

      Arias Carrasco, José Miguel; Pérez Bernal, Francisco; Frank, A.; Lemus Casillas, Renato; Bijker, R. (1997)
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      A method of continuum discretization and its application to the scattering of weakly bound nuclei  [Article]

      Arias Carrasco, José Miguel; Pérez Bernal, Francisco; Martel Bravo, Ismael; Moro Muñoz, Antonio Matías; Gómez Camacho, Joaquín José (2002)
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      A symmetry adapted approach to molecular spectroscopy: the anharmonic oscillator symmetry model  [Article]

      Bijker, R.; Arias Carrasco, José Miguel; Pérez Bernal, Francisco; Frank, A.; Lemus Casillas, Renato (1996)
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      A symmetry adapted approach to vibrational excitations in atomic clusters  [Article]

      Frank, Alejandro; Lemus Casillas, Renato; Bijker, R.; Pérez Bernal, Francisco; Arias Carrasco, José Miguel (Springer Nature, 1998)
      An algebraic method especially suited to describe the strongly anharmonic vibrational spectra in molecules may be an appropriate framework to study the vibrational spectra of Na+n clusters, where nearly flat potential ...
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      A Symmetry-Adapted Algebraic Approach to Molecular Spectroscopy  [Article]

      Pérez Bernal, Francisco; Arias Carrasco, José Miguel; Frank, A.; Lemus, R.; Bijker, R. (Scielo, 1996)
      We apply a symmetry-adapted algebraic model to the vibrational excitations in D_3h and T_d molecules. A systematic procedure is used to establish the relation between the algebraic and configuration space formulations. In ...
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      Algebraic description of stretching and bending modes in nonlinear triatomic-molecules  [Article]

      Arias Carrasco, José Miguel; Pérez Bernal, Francisco; Lemus Casillas, Renato; Frank, A. (1995)
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      Analytical transformed harmonic oscillator basis for continuum discretized coupled channels calculations  [Article]

      Moro Muñoz, Antonio Matías; Arias Carrasco, José Miguel; Pérez Bernal, Francisco; Gómez Camacho, Joaquín José (The American Physical Society, 2009)
      A new method for continuum discretization in continuum-discretized coupled-channels calculations is proposed. The method is based on an analytic local-scale transformation of the harmonic-oscillator wave functions proposed ...
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      Comment on “Boson-realization model for the vibrational spectra of tetrahedral molecules”  [Article]

      Lemus Casillas, Renato; Pérez Bernal, Francisco; Frank, Alejandro; Bijker, R.; Arias Carrasco, José Miguel (American Physical Society, 1997)
      An algebraic model in terms of a local harmonic boson realization was recently proposed to study molecular vibrational spectra [Zhong-Qi Ma et al., Phys. Rev. A 53, 2173 (1996)]. Because of the local nature of the bosons ...
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      Configuration localized wave functions: General formalism and applications to vibrational spectroscopy of diatomic molecules  [Article]

      Pérez Bernal, Francisco; Arias Carrasco, José Miguel; Carvajal Zaera, Miguel; Gómez Camacho, Joaquín José (American Physical Society, 2000)
      A general formalism for constructing configuration localized states for one-dimensional potentials is presented. It allows the evaluation of accurate approximations to the vibrational matrix elements of the momentum operator ...
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      Continuum coupling in one-dimensional scattering using a transformed harmonic oscillator basis  [Article]

      Martel Bravo, I.; Pérez Bernal, Francisco; Rodríguez Gallardo, Manuela; Arias Carrasco, José Miguel; Gómez Camacho, Joaquín José (American Physical Society, 2002)
      The continuum coupling in a one-dimensional scattering problem was studied within a semiclassical approach by means of a transformed harmonic oscillator (THO). The THO basis provided a finite set of normalized states ...
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      Continuum discretization in a basis of transformed harmonic-oscillator states  [Article]

      Pérez Bernal, Francisco; Martel Bravo, I.; Arias Carrasco, José Miguel; Gómez Camacho, Joaquín José (American Physical Society, 2001)
      The method of defining a transformed harmonic-oscillator (THO) basis, designed to take an account of continuum, by an appropriate discretization is discussed. This method is applied to two analytical one-dimensional ...
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      Continuum discretization using orthogonal polynomials  [Article]

      Pérez Bernal, Francisco; Martel Bravo, I.; Arias Carrasco, José Miguel; Gómez Camacho, Joaquín José (American Physical Society, 2003)
      A method for discretizing the continuum by using a transformed harmonic oscillator basis has recently been presented [Phys. Rev. A 63, 052111 (2001)]. In the present paper, we propose a generalization of that formalism ...
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      Coulomb breakup in a transformed harmonic oscillator basis  [Article]

      Moro Muñoz, Antonio Matías; Pérez Bernal, Francisco; Arias Carrasco, José Miguel; Gómez Camacho, Joaquín José (American Physical Society, 2006-05-10)
      The problem of Coulomb breakup in the scattering of a two-body loosely bound projectile by a heavy target is addressed. A basis of transformed harmonic oscillator (THO) wave functions is used to discretize the projectile ...
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      Coupling to breakup channels using a transformed harmonic oscillator basis  [Article]

      Moro Muñoz, Antonio Matías; Arias Carrasco, José Miguel; Gómez Camacho, Joaquín José; Martel, I.; Pérez Bernal, Francisco; Crespo, Raquel; Nunes, Filomena (American Physical Society, 2002-01-01)
      The application of a recently proposed procedure for discretizing the continuum to collision processes involving weakly bound nuclei is studied. In particular, the coupling to breakup states in ...
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      Elastic and break-up of the 1n-halo 11Be nucleus  [Article]

      Pietro, A. di; Moro Muñoz, Antonio Matías; Acosta, Luis; García Borge, María José; Fraile, Luis M.; Gómez Camacho, Joaquín José; Martel, Ismael; Pérez Bernal, Francisco; Tengblad, Olof; Maira-Vidal, A.; Musumarra, Agatino; Zadro, M. (EDP Sciences, 2014)
      The elastic and break-up angular distributions of the 10,11Be+64Zn reactions measured at Ec.m. ≈1.4 VC have been analysed within the CCDC and O.M. frameworks. The suppression of the Coulomb-nuclear interference, observed ...
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      Elastic scattering and α -particle production in 6 He + 208 Pb collisions at 22 MeV  [Article]

      Acosta, Luis; Sánchez Benítez, A. M.; Gómez Santamaría, Mario E.; Martel Bravo, Ismael; Pérez Bernal, Francisco; Pizarro, F.; González Álvarez, Marcos Aurelio; Andrés Martín, María Victoria; Espino Navas, José Manuel; Fernández García, Juan Pablo; Gómez Camacho, Joaquín José; Moro Muñoz, Antonio Matías; Rahighi, J.; Rodríguez Quintero, José; Rusek, K. (American Physical Society, 2011)
      Experimental results of the elastic scattering of 6He on 208Pb at E LAB=22 MeV, measured at the CRC facility (Louvain-la-Neuve, Belgium), are presented, including results on the 4He production channel. These data were taken ...
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      Finite-size corrections in the bosonic algebraic approach to two-dimensional systems  [Article]

      Pérez Fernández, Pedro; Arias Carrasco, José Miguel; García Ramos, José Enrique; Pérez Bernal, Francisco (American Physical Society, 2011)
      Analytical results beyond the mean-field-limit approximation for several observables of the two-dimensional limit of the vibron model are presented. Finite-size scaling exponent values are also analytically derived. The ...
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      Métodos algebraicos en física molecular: el modelo de osciladores anarmónicos simetrizados (AOSM) para el estudio de la estructura vibracional y una aproximación analítica a la dispersión de electrones por moléculas polares.  [PhD Thesis]

      Pérez Bernal, Francisco (1998)
      En esta Tesis se presentan los resultados del trabajo realizado durante cuatro años en el Instituto de Ciencias Nucleares de la Universidad Nacional Autónoma de México y el Departamento de Física Atómica, Molecular y Nuclear ...
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      Novel results from an algebraic approach to molecular bending dynamics  [Article]

      Pérez Bernal, Francisco; Álvarez Bajo, O.; Arias Carrasco, José Miguel; Carvajal, M.; García Ramos, José Enrique; Larese, Danielle; Pérez Fernández, Pedro (Institute of Physics Publishing, 2011)
      We present a brief review of research topics of current interest that depend on an algebraic approach to molecular bending dynamics. This approach is based on a u(3) spectrum generating algebra. In particular, we briefly ...