Bohr model and dimensional scaling analysis of atoms and molecules

A Svidzinsky, G Chen, S Chin, M Kim… - … Reviews in Physical …, 2008 - Taylor & Francis
It is generally believed that the old quantum theory, as presented by Niels Bohr in 1913, fails
when applied to few electron systems, such as the H2 molecule. Here we review recent …

Bohr's molecular model, a century later

A Svidzinsky, M Scully, D Herschbach - Physics Today, 2014 - pubs.aip.org
Despite the great power and scope of modern computers, there remains yearning for
intuitive, pedagogically appealing ways to understand electronic structures in atoms …

Variational justification of the dimensional-scaling method in chemical physics: the H-atom

G Chen, Z Ding, CS Lin, D Herschbach… - Journal of mathematical …, 2010 - Springer
The dimensional scaling (D-scaling) method first originated from quantum chromodynamics
by using the spatial dimension D as an order parameter. It later has found many useful …

用玻尔理论计算第二周期原子基态能量

孟丽娟, 吴锋 - 大学物理, 2018 - dxwl.bnu.edu.cn
( ) + Σ Page 1 第37 卷第8 期 大学物理 Vol.37 No.8 2018 年8 月 COLLEGE PHYSICS Aug.
2018 收稿日期: 2018-01-08;修回日期: 2018-03-16 基金项目: 国家自然科学基金项目(11647071);江苏 …

Visualization and dimensional scaling for some three-body problems in atomic and molecular quantum mechanics

G Chen, Z Ding, A Perronnet, Z Zhang - Journal of mathematical …, 2008 - pubs.aip.org
Three-body problems in atomic and molecular quantum mechanics, comprising one electron–
two nuclei and two electron–one nucleus, are studied from their Schrödinger–Born …

Mathematical analysis of the dimensional scaling technique for the Schrödinger equation with power-law potentials

Z Ding, G Chen, CS Lin - Journal of mathematical physics, 2010 - pubs.aip.org
The dimensional scaling (D-scaling) technique is an innovative asymptotic expansion
approach to study the multiparticle systems in molecular quantum mechanics. It enables the …

Quantum signatures of Solar System dynamics

AL Kholodenko - arXiv preprint arXiv:0707.3992, 2007 - arxiv.org
Let w (i) be a period of rotation of the i-th planet around the Sun (or w (j; i) be a period of
rotation of j-th satellite around the i-th planet). From empirical observations it is known that …

[HTML][HTML] Analysis and algorithms for the computation of the excited states of helium

Z Ding, G Chen - Journal of computational and applied mathematics, 2011 - Elsevier
In this paper, we study a dimensionally scaled helium atom model for excited states of
helium. The mathematical analysis of the corresponding effective energy potential is …

Comment on the shape of Hydrogen equation in spaces of arbitrary dimension

MY Amusia - arXiv preprint arXiv:1502.05849, 2015 - arxiv.org
We note that presenting Hydrogen atom Schrodinger equation in the case of arbitrary
dimensions require simultaneous modification of the Coulomb potential that only in three …

[引用][C] Mathematical Analysis of the Effective Energy Potential of the Helium Atom from Quantum Number D-Scaling

Z Ding, G Chen