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Related Concept Videos

Partial Fractions01:28

Partial Fractions

A partial fraction is a component of a rational expression represented as the sum of simpler fractions. When a rational function is expressed as a ratio of two polynomials, it can often be decomposed into a sum of fractions whose denominators are simpler polynomials, typically linear or irreducible quadratic factors. This process is called partial fraction decomposition, and it is used to simplify complex expressions for integration, solving equations, or analysis.Partial fraction decomposition...
Electric Field of a Charged Disk01:23

Electric Field of a Charged Disk

The simplest case of a surface charge distribution is the uniformly charged disk. Calculating its electric field also helps us calculate the electric field of a large plane of charge.
The system's symmetry is in the cylindrical directions across the plane of the charge. As a result, the electric fields created by various surface charge elements nullify each other in the direction parallel to the surface. Thereby, the resulting electric field is perpendicular to the plane. Since the disk is...
π Electron Effects on Chemical Shift: Aromatic and Antiaromatic Compounds01:14

π Electron Effects on Chemical Shift: Aromatic and Antiaromatic Compounds

In aromatic compounds, such as benzene, the circulation of (4n + 2) π-electrons sets up a diamagnetic or diatropic ring current around the perimeter of the molecule. This current induces a magnetic field that opposes the external field inside the ring and reinforces it on the outside. The protons in benzene are deshielded and exhibit high chemical shifts in the range 6.5–8.5 ppm. The shielding effect at the center of the ring is evident in complex aromatic molecules, such as annulenes. In...
Calculations of Electric Potential I01:15

Calculations of Electric Potential I

Consider a ring of radius R with a uniform charge density λ. What will the electric potential be at point M, which is located on the axis of the ring at a distance x from the center of the ring?
The ring is divided into infinitesimal small arcs such that point M is equidistant from all the arcs. Here, the cylindrical coordinate system is used to calculate the electric potential at point M. A general element of the arc between angles θ and θ + dθ is of the length Rdθ and has a charge of λRdθ.
Subcellular Fractionation01:32

Subcellular Fractionation

The homogenate obtained after cell lysis contains various membrane-bound organelles that can be further separated into pure fractions by subcellular fractionation. These isolates are used to study specific cellular components, analyze localized protein activity, and are even employed in diagnostics. Fractionation is typically achieved using centrifugation methods, the most common being density-gradient and differential centrifugation.
Differential Centrifugation
Differential centrifugation is...
The Contractile Ring02:15

The Contractile Ring

Contractile rings are composed of microfilaments and are responsible for separating the daughter cells during cytokinesis. Contractile ring assembly proceeds along with other cell cycle events; however, very few mechanistic details are known about the timing and coordination of the contractile rings with the cell cycle.
A small GTPase, RhoA, controls the function and assembly of the contractile ring. RhoA belongs to the Ras superfamily of proteins. The activation of formins by RhoA promotes...

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Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
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Charge fractionalization in a mesoscopic ring.

Wade DeGottardi1, Siddhartha Lal, Smitha Vishveshwara

  • 1Department of Physics, University of Illinois at Urbana-Champaign, 1110 W. Green St., Urbana, Illinois 61801-3080, USA.

Physical Review Letters
|February 7, 2013
PubMed
Summary
This summary is machine-generated.

We propose noninvasive magnetic field measurements to detect electron fractionalization in one-dimensional rings. These methods distinguish true fractionalization from quantum superposition and classical probabilities.

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Area of Science:

  • Condensed matter physics
  • Quantum electronics

Background:

  • Electron fractionalization in one-dimensional systems is a complex phenomenon.
  • Distinguishing true fractionalization from other quantum effects is challenging.

Purpose of the Study:

  • To propose noninvasive methods for probing electron fractionalization.
  • To differentiate true fractionalization from quantum superposition and classical probabilistic electron insertion.

Main Methods:

  • Analyzing the magnetic field profile around a 1D ring.
  • Calculating the magnetic field squared and induced power.
  • Comparing with persistent current measurements.

Main Results:

  • Anisotropic magnetic field profiles indicate the degree of fractionalization.
  • Proposed methods can distinguish true fractionalization from other scenarios.
  • Magnetic field measurements offer a complementary approach to transport measurements.

Conclusions:

  • Noninvasive magnetic field measurements are effective for studying electron fractionalization.
  • The proposed techniques provide a new avenue for experimental verification.
  • Understanding fractionalization is crucial for developing novel electronic devices.