The Hydrogen H2+ and HeH2+ Molecular Ions Confined in Dihedral Angles

Cruz, S. A.; Ley‐Koo, E.

doi:10.1016/bs.aiq.2015.03.001

Cited by 2 publications

(3 citation statements)

References 25 publications

(24 reference statements)

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“…For some references, specific connections have been pointed out, but each reader may identify others. In 3.2 the seven articles on the hydrogen-like diatomic molecules have the connection with [25] and references therein, as well as with [93]. Section 3.3 illustrates the recent progress for many-electron atoms from [11][12][13][14][15][16][17][18][19][20][21][22][23][24] to [54][55][56][57], and specifically in going from impenetrable to penetrable spherical confinement.…”

Section: Discussion and Concluding Remarksmentioning

confidence: 99%

“…The authors of [17] were invited to participate in the Workshop on Concepts of Mathematical Physics in Chemistry in honor of Professor Frank Harris in December 2014. In the oral presentation preliminary results on the H + 2 molecular ion were presented, and results on the HeH 2+ ion were also included in the written version [93].…”

Section: The H + 2 and Heh 2+ Molecular Ions Confined In Dihedral Anglesmentioning

confidence: 99%

“…The hydrogenic wave functions under dihedral confinement [93] are presented in Eqs. (1) in their azimuthal sine and cosine dependence and µ = n ϕ π/ϕ o eigenvalues, Eqs.…”

Section: O(2) Symmetry Breaking In Dihedrally Confined Atoms and Consmentioning

confidence: 99%

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Recent progress in confined atoms and molecules: Superintegrability and symmetry breakings

Koo

2018

Rev. Mex. Fís.

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This review article has the antecedents of Jaskolski’s 1996 Physics Report Confined Many-electron Systems , the fifteen chapters on the Theory of Confined Quantum Systems in Vols. 57 and 58 of 2009 Advances in Quantum Chemistry, and the nine chapters of the 2014 Monograph “Electronic Structure of Confined Quantum Atoms and Molecules”. In this contribution the last two sets of reviews are taken as the points of reference to illustrate some advances in several lines of research in the elapsed periods. The recent progress is illustrated on the basis of a selection of references from the literature taking into account the confined quantum systems, the confining environments and their modelings; their properties and processes, emphasizing the changes due to the confinement; the methods of analysis and solutions, their results including confiability and accuracy; as well as applications in other areas. The updated and current works of the Reviewer are also presented. The complementary words in the title apply to the simplest atom in its free configuration and to the harmonic oscillator quantum dot because they admit more exact solutions than the number of their degrees of freedom; and to their many-electron and confined counterparts, due to their additional interactions and changes in boundary conditions.

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Section: Discussion and Concluding Remarksmentioning

confidence: 99%

Section: The H + 2 and Heh 2+ Molecular Ions Confined In Dihedral Anglesmentioning

confidence: 99%

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Recent progress in confined atoms and molecules: Superintegrability and symmetry breakings

Koo

2018

Rev. Mex. Fís.

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Contributions from UAM-Iztapalapa to the Study of Confined Atoms and Molecules

Aquino,

Cruz,

Garza

et al. 2024

J. Mex. Chem. Soc.

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Abstract. The study of confined quantum systems has been a subject of fundamental interest of research at the Universidad Autónoma Metropolitana (UAM) for over 30 years. This summary highlights the contributions of the present authors from UAM in this field considering various quantum systems under different confinement conditions. The paper is divided into two sections: one focusing on atoms and molecules confined by closed and open hard walls, and the other on systems confined by closed and open soft walls. As UAM celebrates its 50th anniversary, it is a timely moment to reflect on the development of collective efforts of the Chemistry and Physics departments in contributing to knowledge in this intriguing and interesting field. Resumen. El estudio de sistemas cuánticos confinados ha sido objeto de fundamental interés en la Universidad Autónoma Metropolitana (UAM) sobre 30 años. Este resumen resalta las contribuciones de la autora y autores de la UAM en este campo considerando varios sistemas cuánticos bajo diferentes condiciones de confinamiento. El artículo está dividido en dos secciones: una enfocándose en átomos y moléculas confinadas por paredes duras cerradas y abiertas, y la otra en sistemas confinados por paredes suaves cerradas y abiertas. Como la UAM celebra su 50 aniversario, es un buen momento para mostrar el desarrollo de esfuerzos colectivos de los departamentos de química y física en la contribución del conocimiento en este interesante e intrigante campo.

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The Hydrogen H2+ and HeH2+ Molecular Ions Confined in Dihedral Angles

Cited by 2 publications

References 25 publications

Recent progress in confined atoms and molecules: Superintegrability and symmetry breakings

Recent progress in confined atoms and molecules: Superintegrability and symmetry breakings

Contributions from UAM-Iztapalapa to the Study of Confined Atoms and Molecules

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