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Updated: Jan 15, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

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第三阶乱理论成为常规:对尺寸一致的第二阶乱理论进行非反复性纠正Brillouin-Wigner乱理论

Zhenling Wang1,2, Yao Shen1,2, Martin Head-Gordon1,2

  • 1Department of Chemistry, University of California, Berkeley, California 94720, United States.

The journal of physical chemistry letters
|January 13, 2026
PubMed
概括

一种新的计算方法,BWS2.5,比以前的理论更准确地描述了分子中的强电子相关性. 这种方法保持了尺寸一致性和计算效率,改进了像MP2这样的现有方法.

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A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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