Hydrogen atom within spherical boxes with penetrable walls

Journal Article · Sun Jul 01 04:00:00 EDT 1979 · J. Chem. Phys.; (United States)

DOI:https://doi.org/10.1063/1.438077· OSTI ID:6214072

Ley-Koo, E; Rubinstein, S

We study a model for the hydrogen atom confined within spherical boxes with penetrable walls. The potential consists of the Coulomb potential inside the box and a constant potential outside the box; the Schroedinger equation admits analytical solutions in both regions. The energy eigenvalues and eigenfunctions for the lowest states of the system are determined numerically for boxes of different sizes and penetrabilities. In addition, we also evaluate the hyperfine splitting, nuclear magnetic shielding, polarizability and pressure of the system and investigate the effect of the confinement on these atomic properties.

• Research Organization: Instituto de Fisica, Universidad Nacional Autonoma de Mexico, Apdo. Postal 20-364, Mexico 20, D. F.
• OSTI ID: 6214072
• Journal Information: J. Chem. Phys.; (United States), Journal Name: J. Chem. Phys.; (United States) Vol. 71:1; ISSN JCPSA
• Country of Publication: United States
• Language: English

Related Subjects

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Molecular & Chemical Physics-- Atomic & Molecular Properties & Theory
640305* -- Atomic
Molecular & Chemical Physics-- Atomic & Molecular Theory-- (-1987)
74 ATOMIC AND MOLECULAR PHYSICS
ATOMIC MODELS
ATOMS
CRYOGENIC FLUIDS
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EIGENVALUES
ELECTRICAL PROPERTIES
ELEMENTS
EQUATIONS
FLUIDS
FUNCTIONS
HYDROGEN
HYPERFINE STRUCTURE
MATHEMATICAL MODELS
NONMETALS
PHYSICAL PROPERTIES
POLARIZABILITY
POTENTIALS
SCHROEDINGER EQUATION
WAVE EQUATIONS