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Quantum Numbers02:43

Quantum Numbers

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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Double Resonance Techniques: Overview01:12

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Double resonance techniques in Nuclear Magnetic Resonance (NMR) spectroscopy involve the simultaneous application of two different frequencies or radiofrequency pulses to manipulate and observe two distinct nuclear spins. One important application of double resonance is spin decoupling, which selectively suppresses coupling with one type of nucleus while observing the NMR signal from another nucleus, simplifying the spectrum and enhancing resolution.
Spin decoupling is usually achieved by...
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Resonance02:52

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The Lewis structure of a nitrite anion (NO2−) may actually be drawn in two different ways, distinguished by the locations of the N-O and N=O bonds.
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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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Unlike mitosis, meiosis aims for genetic diversity in its creation of haploid gametes. Dividing germ cells first begin this process in prophase I, where each chromosome—replicated in S phase—is now composed of two sister chromatids (identical copies) joined centrally.
The homologous pairs of sister chromosomes—one from the maternal and one from the paternal genome—then begin to align alongside each other lengthwise, matching corresponding DNA positions in a process...
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Crossing Over01:30

Crossing Over

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Crossing over is the exchange of genetic information between homologous chromosomes during prophase I of meiosis I. Genetic recombination gives rise to allelic diversity in the newly formed daughter cells. In humans, crossing over produces genetically distinct haploid egg and sperm cells that undergo fertilization to produce unique offspring. Before cell division starts, the germ cell’s chromosome(s) undergo duplication in the S phase of the cell cycle. As the cells enter prophase I,...
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Related Experiment Video

Updated: Jan 31, 2026

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
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Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

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Resonances crossing in double-well quantum systems.

Andrea Sacchetti1

  • 1Department of Physics, Informatics and Mathematics, University of Modena e Reggio Emilia, Modena, Italy.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|January 29, 2026
PubMed
Summary
This summary is machine-generated.

Quantum resonances exhibit complex beating motions. This study introduces a criterion to distinguish resonance crossings, crucial for developing electric field quantum sensors.

Keywords:
quantum resonances for Schrödinger’s equationquantum sensors of a DC electric fieldresonant tunnellig effecttime decay of quantum systems

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Area of Science:

  • Quantum mechanics
  • Condensed matter physics

Background:

  • Double-well systems exhibit beating motion when energy levels align.
  • Quantum resonances introduce complexity with two types of resonance crossings (RCs).
  • Beating motion in quantum resonances is specific to one type of RC.

Purpose of the Study:

  • To develop a quantitative criterion for distinguishing between the two types of RCs.
  • To enable the design of quantum sensors for electric field detection.

Main Methods:

  • Analysis of quantum resonance behavior in the complex plane.
  • Development and application of a quantitative criterion to classify RCs.

Main Results:

  • Identified a specific criterion to differentiate between the two types of RCs.
  • Demonstrated that beating motion is exclusive to one type of RC.

Conclusions:

  • The developed criterion is essential for understanding quantum resonance phenomena.
  • This research facilitates the creation of heterostructure-based quantum sensors for precise electric field measurements.