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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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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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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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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 Uncertainty Principle04:08

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Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
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Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as...
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Updated: Oct 1, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Quantum teleportation with one classical bit.

Abhishek Parakh1

  • 1University of Nebraska, Omaha, NE, 68116, USA. aparakh@unomaha.edu.

Scientific Reports
|March 2, 2022
PubMed
Summary

Researchers developed a new quantum teleportation protocol. This method uses fewer classical bits for transmitting quantum information, enhancing quantum communication efficiency and security.

Area of Science:

  • Quantum Information Science
  • Quantum Communication

Background:

  • Quantum teleportation enables qubit transmission via entanglement and classical bits.
  • Conventional protocols require two classical bits per qubit transmission.

Purpose of the Study:

  • To investigate if fewer than two classical bits are sufficient for quantum teleportation.
  • To explore protocols utilizing multiple copies of the qubit to be sent.

Main Methods:

  • Proposed a modified quantum teleportation protocol.
  • Incorporated local operations for resetting entangled pairs.
  • Considered scenarios with multiple copies of the qubit.

Main Results:

  • The new protocol requires only one classical bit for transmission.

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  • Achieved successful teleportation with a probability greater than one-half.
  • Demonstrated efficient qubit state transfer.
  • Conclusions:

    • The modified protocol offers a more efficient approach to quantum teleportation.
    • Reduced classical information requirements have positive implications for quantum communication networks.
    • Enhanced security for quantum cryptographic protocols relying on entanglement.