Journal article
Analytical estimation of critical parameter values for bound states of screened Coulomb potentials
Journal of mathematical physics, v 28(4), pp 975-977
Apr 1987
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
As a consequence of the virial theorem and Hellmann–Feynman relation, the ratio of the kinetic energy to the derivative of the total energy, Λ(λ)≡T(λ)/E
’(λ), is stationary and equal to the critical parameter value λ
c
at λ=λ
c
:
E(λ
c
)=0↘Λ’(λ
c
)=0 and Λ(λ
c
)=λ
c
. The cubic approximation to the latter equation yields positive roots within 3.02% and 0.33% of the exact λ
c
values for the exponential and exponential‐cosine screening functions, respectively. An alternative estimation formula for λ
c
is also presented and shown to give a value within 0.19% of the exact λ
c
value for the exponential screening function.
Metrics
Details
- Title
- Analytical estimation of critical parameter values for bound states of screened Coulomb potentials
- Creators
- Gerald Rosen - Drexel University
- Publication Details
- Journal of mathematical physics, v 28(4), pp 975-977
- Publisher
- American Institute of Physics (AIP)
- Number of pages
- 3
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics
- Web of Science ID
- WOS:A1987G463200034
- Scopus ID
- 2-s2.0-36549095974
- Other Identifier
- 991019173776004721
UN Sustainable Development Goals (SDGs)
This publication has contributed to the advancement of the following goals:
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Physics, Mathematical