维格纳相空间II中的半古典动力学:非adiabatic混合的维格纳动力学
Shreyas Malpathak1, Nandini Ananth1
1Department of Chemistry and Chemical Biology, Baker Laboratory, Cornell University, Ithaca, New York 14853, USA.
The Journal of chemical physics
|September 5, 2024
概括
我们介绍了用于模拟量子系统的非adiabatic混合维格纳动力学 (NHWD). 这种方法准确地模拟复杂的动态,特别是当核模式与电子状态强烈合时,推进半古典模拟.
科学领域:
- 化学物理 化学物理
- 量子动力学 量子动力学是什么?
- 计算化学的计算化学
背景情况:
- 半古典 (SC) 方法对于模拟复杂的量子系统至关重要.
- 之前的工作为混合量子化动力学引入了阿迪亚巴特混合维格纳动力学 (AHWD).
- 将这些方法扩展到非adiabatic过程对于更广泛的适用性至关重要.
研究的目的:
- 开发和验证一个新的半经典框架,用于非adiabatic混合量子化动力学.
- 为了引入两个变体的非adiabatic混合维格纳动力学 (NHWD):NHWD(E) 和NHWD(V).
- 评估这些方法对各种量子动力学模型的准确性.
主要方法:
- 通过扩展AHWD框架,开发了非adiabatic混合维格纳动力学 (NHWD).
- 引入了NHWD(E) 仅定量化电子状态和NHWD(V) 定量化电子状态和合核模式.
- 对散射模型和自旋玻色子模型应用方法来评估性能.
主要成果:
- 对于散射和自旋玻色子模型,NHWD(E) 已经证明了它的准确性.
- 为了准确地捕捉具有强度合的核电子状态的系统中的长期动态,NHWD (V) 是必要的.
- 合并的AHWD和NHWD框架为高维半古典模拟提供了一个强大的方法.
结论:
- NHWD提供了一个准确而通用的工具来模拟非adiabatic量子动力学.
- 在NHWD (E) 和NHWD (V) 之间做出选择取决于特定系统的合特性.
- 这些混合维格纳动力学方法在模拟具有实质量子效应的系统方面取得了重大进展.
相关概念视频
Hybridization of Atomic Orbitals II
31.9K
sp3d and sp3d 2 Hybridization
31.9K
The de Broglie Wavelength
25.4K
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...
25.4K
Hybridization of Atomic Orbitals I
46.7K
The mathematical expression known as the wave function, ψ, contains information about each orbital and the wavelike properties of electrons in an isolated atom. When atoms are bound together in a molecule, the wave functions combine to produce new mathematical descriptions that have different shapes. This process of combining the wave functions for atomic orbitals is called hybridization and is mathematically accomplished by the linear combination of atomic orbitals. The new orbitals that...
46.7K
Fermi Level Dynamics
228
The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...
228
The Quantum-Mechanical Model of an Atom
42.1K
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.
42.1K
¹H NMR: Interpreting Distorted and Overlapping Signals
1.0K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.0K


