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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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Quantum Numbers02:43

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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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The Pauli Exclusion Principle03:06

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The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
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The de Broglie Wavelength02:32

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In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
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Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

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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?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of...
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Reaction Quotient02:35

Reaction Quotient

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The status of a reversible reaction is conveniently assessed by evaluating its reaction quotient (Q). For a reversible reaction described by m A + n B ⇌ x C + y D, the reaction quotient is derived directly from the stoichiometry of the balanced equation as
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Related Experiment Video

Updated: Sep 11, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

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Correction in Science rekindles debate over Microsoft's quantum computing research.

Adam Mann

    Science (New York, N.Y.)
    |August 14, 2025
    PubMed
    Summary

    Scientists are searching for Majorana particles, which could enable robust quantum computing. However, their existence remains a subject of ongoing debate within the scientific community.

    Area of Science:

    • Condensed matter physics
    • Quantum computing

    Background:

    • Majorana fermions are exotic particles that are their own antiparticles.
    • They are predicted to exist in certain condensed matter systems, such as topological superconductors.
    • Their unique properties make them promising candidates for building fault-tolerant quantum computers.

    Discussion:

    • Experimental evidence for Majorana particles has been challenging to obtain and interpret.
    • Discrepancies in experimental results have led to ongoing disputes within the scientific community.
    • The lack of definitive proof hinders progress in developing Majorana-based quantum technologies.

    Key Insights:

    • The search for Majorana particles is crucial for advancing quantum computing.
    • Robust experimental verification is needed to resolve current scientific disputes.

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  • Overcoming these challenges could unlock the potential of topological quantum computation.

    • Outlook:

    • Future research will focus on developing more sensitive detection methods.
    • New theoretical frameworks may help guide experimental searches.
    • Resolving the Majorana particle debate is essential for the future of quantum information science.