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Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

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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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2D NMR: Overview of Heteronuclear Correlation Techniques01:18

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Heteronuclear correlation spectroscopy is an analytical technique that investigates the coupling between different types of nuclei, often a proton and an X-nucleus, such as carbon-13 or nitrogen-15. This method is commonly used in nuclear magnetic resonance (NMR) spectroscopy to gain insights into complex chemical compounds' structural and compositional aspects. A typical heteronuclear correlation spectrum displays X-nucleus chemical shifts on one axis and a proton spectrum on the other...
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Quantum Numbers02:43

Quantum Numbers

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2D NMR: Heteronuclear Single-Quantum Correlation Spectroscopy (HSQC)01:19

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Heteronuclear single-quantum correlation spectroscopy (HSQC) is a 2D NMR technique that reveals one-bond correlations between hydrogen and a heteronucleus. The HSQC experiment is similar to the heteronuclear correlation experiment (HETCOR) but is more sensitive. In the HSQC spectrum, the proton chemical shift is plotted on the horizontal F2 axis, while the 13C chemical shift is plotted on the vertical F1 axis. The corresponding proton and 13C spectra are also shown. The HSQC contour plot does...
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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.
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Homonuclear correlation spectroscopy (COSY) is a powerful technique used in Nuclear Magnetic Resonance (NMR) spectroscopy to study the correlations between nuclei of the same type within a molecule. It provides information about scalar couplings between adjacent nuclei, which helps determine connectivity and structural information. There are several COSY variants, each with its unique strengths and experimental parameters.
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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Quantum coherence and correlations in quantum system.

Zhengjun Xi1, Yongming Li1, Heng Fan2

  • 1College of Computer Science, Shaanxi Normal University, Xi'an, 710062, P. R. China.

Scientific Reports
|June 23, 2015
PubMed
Summary
This summary is machine-generated.

New measures quantify quantum coherence, revealing its link to entropy and entanglement. This study explores coherence, discord, and deficit in quantum systems, establishing a key relationship between them.

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Area of Science:

  • Quantum Information Science
  • Quantum Thermodynamics

Background:

  • Quantum coherence is a fundamental property of quantum systems.
  • Quantifying coherence is crucial for understanding quantum phenomena and developing quantum technologies.
  • Recent advancements have proposed new criteria for measuring quantum coherence.

Purpose of the Study:

  • To establish an uncertainty-like relation between quantum coherence and quantum entropy.
  • To explore the interconnections between quantum coherence and quantum entanglement.
  • To detail the relationships among quantum coherence, quantum discord, and quantum deficit in bipartite quantum systems.

Main Methods:

  • Derivation of an uncertainty-like expression linking quantum coherence and entropy.
  • Analysis of the implications of this expression for coherence-entanglement relationships.
  • In-depth investigation of coherence, discord, and deficit in bipartite systems.

Main Results:

  • An uncertainty-like relationship between quantum coherence and quantum entropy is established.
  • The study elucidates the connections between quantum coherence and entanglement.
  • A precise relationship is found between quantum discord, relative entropy of coherence, and one-way quantum deficit.

Conclusions:

  • The established uncertainty-like relation provides a new perspective on quantum coherence.
  • The findings deepen our understanding of the interplay between different quantum information measures.
  • The quantitative relationships identified are significant for the study of multipartite quantum correlations.