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Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

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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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Biot-Savart Law: Problem-Solving00:59

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The magnitude and direction of a magnetic field created by a steady current can be calculated using the Biot-Savart law.
Consider a mobile phone battery bank as a source of steady current, which flows through the wire connected between the two. What is the magnitude of the magnetic field created by this current at a field point P?
To estimate the magnitude of the total magnetic field, we first consider a small current element of length dl, at a distance r from the field point. Now the following...
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Ampere-Maxwell's Law: Problem-Solving01:17

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A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
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Stability of Equilibrium Configuration: Problem Solving01:13

Stability of Equilibrium Configuration: Problem Solving

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The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
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Atomic Nuclei: Nuclear Spin State Overview01:03

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NMR-active nuclei have energy levels called 'spin states' that are associated with the orientations of their nuclear magnetic moments. In the absence of a magnetic field, the nuclear magnetic moments are randomly oriented, and the spin states are degenerate. When an external magnetic field is applied, the spin states have only 2 + 1 orientations available to them. A proton with = ½ has two available orientations. Similarly, for a quadrupolar nucleus with a nuclear spin value of...
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Prismatic Beams: Problem Solving01:15

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In the design of a supported timber beam subjected to a distributed load, both the beam's physical dimensions and the timber's characteristics, such as its grade and species, are critical. These factors determine the allowable stress values, which are crucial for calculating the necessary beam depth to ensure structural integrity and safety.
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The Use of the Puzzle Box as a Means of Assessing the Efficacy of Environmental Enrichment
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Solving a puzzle with atomic qubits.

Monika Schleier-Smith1

  • 1Department of Physics, Stanford University, Stanford, CA, USA.

Science (New York, N.Y.)
|June 9, 2022
PubMed
Summary

Quantum computing offers a powerful solution for the maximum independent set problem. This advancement significantly simplifies solving complex computational challenges.

Area of Science:

  • * Computer Science
  • * Quantum Computing

Background:

  • * The maximum independent set problem is a fundamental challenge in graph theory and computer science.
  • * Classical algorithms struggle with the computational complexity of this NP-hard problem.

Purpose of the Study:

  • * To investigate the efficacy of quantum computing in solving the maximum independent set problem.
  • * To demonstrate a quantum approach that offers a significant advantage over classical methods.

Main Methods:

  • * Utilizing quantum algorithms designed for combinatorial optimization.
  • * Leveraging quantum computation principles to explore solution spaces efficiently.

Main Results:

  • * Quantum computation successfully and efficiently solves the maximum independent set problem.

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  • * Demonstrated a substantial speedup compared to the best-known classical algorithms.

    • Conclusions:

    • * Quantum computers provide a viable and powerful tool for tackling NP-hard problems like the maximum independent set.
    • * This research paves the way for future applications of quantum computing in optimization and related fields.