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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.
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Angular variables are introduced in rotational dynamics. Comparing the definitions of angular variables with the definitions of linear kinematic variables, it is seen that there is a mapping of the linear variables to the rotational ones. Linear displacement, velocity, and acceleration have their equivalents in rotational motion, which are angular displacement, angular velocity, and angular acceleration. Similar to the rotational variables, a mapping exists from Newton's second law of motion...
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When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
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A system's total angular momentum remains constant if the net external torque acting on the system is zero. Examples of such systems include a freely spinning bicycle tire that slows over time due to torque arising from friction, or the slowing of Earth's rotation over millions of years due to frictional forces exerted on tidal deformations. However in the absence of a net external torque, the angular momentum remains conserved. The conservation of angular momentum principle requires a...
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Direct Imaging of Laser-driven Ultrafast Molecular Rotation
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混合量子/古典理论方法用于在量子计算机上实现的旋转不弹性分子碰撞.

Jonathan Andrade-Plascencia1,2, Tamila Kuanysheva1, Dulat Bostan1

  • 1Chemistry Department, Marquette University, Milwaukee, Wisconsin 53201-1881, United States.

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研究人员使用混合量子/经典理论开发了一种分子-原子散射的量子算法. 这种新的方法在量子硬件上成功运行,证明了化学动力学量子计算的重要一步.

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科学领域:

  • 量子计算是一种量子计算.
  • 化学物理 化学物理
  • 计算化学的计算化学

背景情况:

  • 模拟分子碰撞对于理解化学反应至关重要.
  • 传统方法面临复杂系统的计算挑战.
  • 混合量子/经典 (MQCT) 理论提供了一个混合方法.

研究的目的:

  • 为旋转不弹性的分子-原子散射概述一个量子算法.
  • 在实际的量子硬件上实现和测试这个算法.
  • 为了证明量子计算对化学动力学模拟的可行性.

主要方法:

  • 开发了一种量子算法,将量子力学用于分子旋转和经典力学用于散射的量子力学结合起来.
  • 使用依赖时间的施罗丁格方程进行量子力学处理.
  • 预先计算了经典处理器上的潜在合矩阵,并使用了量子硬件来解决合方程.

主要成果:

  • 用Qiskit编写的量子代码在N2 + O碰撞的经典模拟器上进行了严格的测试.
  • 在真实量子硬件上成功执行算法 (IBM布里斯班,基辅,谢尔布鲁克).
  • 在量子计算结果和基准数据之间获得了非常好的一致性.

结论:

  • 本研究介绍了使用量子计算机上的混合量子/经典框架进行非弹性散射的第一个原理证明计算.
  • 成功实施验证了量子计算在推进化学动力学模拟方面的潜力.
  • 开发的算法和电路已经准备好在未来的量子化学研究中实际实施.