Modelos de confinamiento cuántico en átomos y moléculas, física y matemáticas aplicadas a las ciencias naturales.

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-Asesoría Tesis de Doctorado
“Átomos multielectrónicos confinados en cavidades esféricas penetrables utilizando teoría de Hartree-Fock” Alumno de Doctorado en Química: Mariano Rodríguez Bautista.

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Publicaciones de los últimos 5 años:

1. S. A. Cruz, C. Díaz-García, G. Covarrubias
“Statistical Atomic Models with Complete Neglect of Differential Overlap for the Study of Free and Confined Systems”.
International Journal of Quantum Chemistry, Vol. 102, 897-910, 2005.

2. S.A. Cruz, C. Díaz-García, A.P. Pathak, and J. Soullard
“Pressure dependence of the mean excitation energy of atomic systems”.
Nuclear Instruments and Methods in Physics Research B: Beam Interactions with Materials and Atoms. Vol. 230, 46-52,2005.

3. c. Díaz-García, S. A. Cruz
“Note on critical cage size for ionization of confined two-electron systems”
Physics Letters A Vol. 353, 332-336, 2006.

4. C. Díaz-García, S.A. Cruz
“ Many-Electron Atom Confinement by a Penetrable Spherical Box”
InternationalJournal of Quantum Chemistry,Vol. 108, 1572-1588, 2008.

5. R. Colín-Rodríguez, C. Díaz-García, S.A. Cruz
“The hydrogen molecule and the H2+ molecular ion inside padded prolate spheroidal cavities with arbitrary nuclear
positions” Journal of Physics B: Atomic, Molecular and Optical Physics, Vol.44, 241001,1-8, 2011.

6. Erwing García-Hernández, Cecilia Díaz-García, Rubicelia Vargas, Jorge Garza.
“Four-index integral transformation in many-body perturbation theory and electron propagator to second order on GPUs for confined atoms”
AIP Conference Proceedings, Vol. 1558, 1528, 2013.

7. Erwing García-Hernández, Cecilia Díaz-García, Rubicelia Vargas, Jorge Garza.
“Implementation of the electron propagator to second order on GPUs to estimate ionization potentials".
Journal of Physics B: Atomic, Molecular and Optical Physics ,Vol.47, 185007,2014.

8. Mariano Rodriguez-Bautista, Cecilia Díaz-García, Alejandra M. Navarrete-López, Rubicelia Vargas, and Jorge Garza.
“Roothaan’s approach to solve the Hartree-Fock equations for atoms confined by soft walls: Basis set with correct asymptotic behavior”.
Journal of Chemical Physics, 143, 034103, 2015.

9. S.A. Cruz, C. Díaz-García, H. Olivares-Pilón & R. Cabrera-Trujillo,
“Many-electron atom confinement by a penetrable planar boundary”.
Radiation Effects & Defects in Solids, Vol. 171, 123-134, 2016.

10. S.A. Cruz, C. Díaz-García, D. Garrido-Aguirre, R. Reyes-García,
“Many-electron atom confinement by penetrable prolate sheroidal cavity”.
The European Physical Journal D., 75:143, 2021.