在相对论分子轨道理论中对QED哈密尔顿式进行理论检查
Nobuki Inoue1, Yoshihiro Watanabe1, Haruyuki Nakano1
1Department of Chemistry, Graduate School of Science, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan.
The Journal of chemical physics
|August 2, 2023
概括
这项研究引入了一个新的量子电动力学 (QED) 哈密尔顿式和能量表达对于相对论分子轨道理论. 这种方法有效地防止了总能量分歧,并使得研究含正电子系统成为可能.
科学领域:
- 理论化学是一种理论化学.
- 量子电动力学 量子电动力学
- 相对论量子力学的量子力学.
背景情况:
- 相对论分子轨道理论需要强大的哈密尔顿理论.
- 现有的量子电动力学 (QED) 汉密尔顿学家面临着不变性和粒子数保存的挑战.
- 电子相关性可以导致基于QED的方法中的能量分歧.
研究的目的:
- 开发和评估基于QED的相对论分子轨道理论.
- 为了解决轨道旋转不变性和能量分歧的问题.
- 为研究包括正子子在内的系统提供一个框架.
主要方法:
- 选提出了基于不变性属性的 QED 哈密尔顿数.
- 提出一个新的总能量的表达式与真空偏振的对应术语.
- 在QED框架内重新引入迪拉克-哈特里-福克 (DHF) 和电子相关性方法.
主要成果:
- 拟议的QED哈密尔顿式和能量表达式可以防止总能量分歧.
- 基于QED的DHF方程产生来自负能轨道的正子信息.
- 数字计算证实了反项在避免分歧方面的有效性.
结论:
- 开发的相对论分子轨道理论为QED计算提供了稳定有效的方法.
- 该方法成功地将正子动力学纳入相对论分子轨道理论中.
- 这项工作为研究使用QED哈密尔顿数的正电子复杂系统提供了一条途径.
相关概念视频
The Quantum-Mechanical Model of an Atom
42.5K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
42.5K
Molecular Orbital Theory II
19.3K
Molecular Orbital Energy Diagrams
19.3K
MO Theory and Covalent Bonding
10.6K
The molecular orbital theory describes the distribution of electrons in molecules in a manner similar to the distribution of electrons in atomic orbitals. The region of space in which a valence electron in a molecule is likely to be found is called a molecular orbital. Mathematically, the linear combination of atomic orbitals (LCAO) generates molecular orbitals. Combinations of in-phase atomic orbital wave functions result in regions with a high probability of electron density, while...
10.6K
Molecular Orbital Theory I
32.3K
Overview of Molecular Orbital Theory
32.3K
The de Broglie Wavelength
26.0K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
26.0K
The Bohr Model
55.5K
Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as...
55.5K


