We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Effective pressures on the outer-, inner-, and shell-confined hydrogenic atoms.
- Authors
Zhou, Zhi Ling; Jiao, Li Guang; Liu, Aihua; Wang, Yuan Cheng; Montgomery Jr., Henry E.; Ho, Yew Kam; Fritzsche, Stephan
- Abstract
Effective pressures at the boundaries of the outer-, inner-, and shell-confined H atoms are investigated using the numerical differentiation technique in which the system energies are solved by employing the generalized pseudospectral method. High-precision inner and outer effective pressures are obtained, and the results are compared with previous predictions based on a formula from the virial equation of state. We find that although the virial-based formula is well-suited for estimating the pressure on outer-confined atoms, it is generally not applicable for the inner- and shell-confined situations. The asymptotic laws of effective pressures on the outer- and inner-confined H atoms as the confinement radius approaches zero and infinity, respectively, are analyzed. For the shell-confined H atom, the distinct behaviors of effective pressures at the inner and outer boundaries as well as for the s and non-s bound states are attributed to the different confinement effect of boundaries on both the system eigenenergies and wave functions.
- Subjects
NUMERICAL differentiation; ATOMS; BOUND states; WAVE functions
- Publication
European Physical Journal D (EPJ D), 2023, Vol 77, Issue 5, p1
- ISSN
1434-6060
- Publication type
Article
- DOI
10.1140/epjd/s10053-023-00663-z