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The Quantum-Mechanical Model of an Atom

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. Schrödinger...
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Related Experiment Video

Updated: Jun 1, 2026

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
12:19

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Published on: April 4, 2017

Direct measurement of the quantum wavefunction.

Jeff S Lundeen1, Brandon Sutherland, Aabid Patel

  • 1Institute for National Measurement Standards, National Research Council, 1200 Montreal Road, Ottawa, Canada. jeff.lundeen@nrc-cnrc.gc.ca

Nature
|June 10, 2011
PubMed
Summary
This summary is machine-generated.

Physicists can now directly measure the quantum wavefunction using sequential weak measurements. This breakthrough provides a clear experimental definition for the wavefunction, applicable across various quantum systems.

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Area of Science:

  • Quantum Mechanics
  • Quantum Information Science

Background:

  • The quantum wavefunction, essential for describing quantum systems, lacks a direct experimental definition.
  • Current methods rely on indirect tomographic techniques to estimate the wavefunction.

Purpose of the Study:

  • To develop and demonstrate a direct measurement method for the quantum wavefunction.
  • To provide a straightforward, experimentally grounded definition of the wavefunction.

Main Methods:

  • Sequential measurement of two complementary variables.
  • Utilizing weak measurement for the initial measurement to preserve quantum information.
  • Directly obtaining real and imaginary components of the wavefunction.

Main Results:

  • Successfully measured the transverse spatial wavefunction of a single photon directly.
  • Demonstrated the universality of the method for photons (polarization, frequency) and other quantum systems (electron spins, SQUIDs, trapped ions).

Conclusions:

  • The proposed method offers a direct and general experimental definition of the wavefunction.
  • This technique is expected to enhance quantum system characterization and advance fundamental quantum theory.