移动的波恩-奥本海默近似方法
Bernardo Barrera1, Daniel P Arovas2, Anushya Chandran1,3
1Department of Physics, Boston University, Boston, MA 02215.
概括
我们介绍了移动的Born-Oppenheimer近似 (MBOA),这是模拟具有缓慢和快速动态相结合的系统的新框架. MBOA捕捉了复杂的行为,如量子和经典系统中的纠和质量重规范化.
科学领域:
- 物理 物理学 物理
- 量子力学就是量子力学.
- 计算化学的计算化学
背景情况:
- 波恩-奥本海默近似 (BOA) 是量子力学的基石,通过分离电子和核运动来简化分子动力学.
- 标准BOA的局限性在快速和缓慢的自由度 (DOF) 显示强合的系统中出现,需要更先进的理论处理.
研究的目的:
- 开发一种新的量子-经典框架,即移动的波恩-奥本海默近似 (MBOA),用于准确地描述结合的慢速DOF的动态.
- 将波恩-奥本海默式近似的适用性扩展到更广泛的物理系统,包括具有显著的动量依赖合的物理系统.
主要方法:
- 开发了MBOA,一种混合的量子-经典方法,快速的DOFs依次依赖慢DOFs的位置和动量的状态.
- 在各种模型系统上应用和测试MBOA:磁场中的旋转-1/2粒子,磁场中的旋转分子和与活塞相互作用的快速粒子气体.
主要成果:
- MBOA揭示了缓慢的DOF的丰富和复杂的动态,包括反射,动态陷和大规模重规范化等现象.
- 观察到快速DOFs状态的显著变化,包括分子旋转的纠和挤压以及快速粒子气体中的同步梯度形成.
结论:
- MBOA提供了一个强大的和多功能框架,用于模拟系统的动态,并结合缓慢和快速的自由度.
- MBOA展示了量子化学,凝聚物质物理学,原子和分子物理学以及量子传感等广泛应用的潜力.
相关概念视频
The Born-Haber Cycle
25.5K
Lattice Energy
25.5K
Approximate Integration
59
In many practical and theoretical contexts, the exact value of a definite integral may be inaccessible. This limitation typically arises when the antiderivative of a function is either unknown or cannot be expressed in a closed mathematical form. Alternatively, it can occur when a function is defined not by a formula but by a finite set of empirical data points, such as those collected during experiments. In these cases, approximate integration techniques provide a valuable solution.One of the...
59
Linearization and Approximation
74
Linearization is a mathematical technique used to approximate complex, nonlinear functions with simpler linear models in the vicinity of a chosen reference point. The method is based on the idea that, although a function may be difficult to evaluate exactly, its behavior near a specific input value can often be closely approximated by the tangent line at that point. This approach is particularly useful when small deviations from a known value are involved.Consider the square root function, for...
74
Application of Linearization and Approximation
104
A drone flying through complex terrain often relies on more than one sensing method to estimate small changes in altitude. Along with direct measurements, air pressure provides a useful indirect indicator of vertical movement. Atmospheric pressure decreases as altitude increases, and this relationship is commonly described using an exponential model. Although accurate, converting pressure measurements into altitude values requires calculations that are too complex to perform repeatedly during...
104
Accuracy, limits, and approximation
1.3K
Accuracy, limits, and approximations are common in many fields, especially in engineering calculations. These concepts are imperative for ensuring that a given value is as close as possible to its true value.
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
Accuracy is defined as the closeness of the measured value to the true or actual value. In engineering mechanics, repeated measurements are taken during theoretical or experimental analyses to ensure that the result is precise and accurate.
The accuracy of any solution is based on the...
1.3K
Linear Approximation in Frequency Domain
390
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
390


