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The Quantum-Mechanical Model of an Atom02:45

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 25, 2026

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
08:44

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

Fidelity approach to the disordered quantum XY model.

Silvano Garnerone1, N Tobias Jacobson, Stephan Haas

  • 1Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089, USA. garneron@usc.edu

Physical Review Letters
|March 5, 2009
PubMed
Summary
This summary is machine-generated.

We analyzed the random XY spin chain

Related Experiment Videos

Last Updated: Jun 25, 2026

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene
08:44

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

Area of Science:

  • Condensed matter physics
  • Quantum magnetism

Background:

  • The random XY spin chain in a transverse field is a key model in quantum magnetism.
  • Understanding its phase diagram is crucial for theoretical and experimental advancements.

Purpose of the Study:

  • To investigate the phase diagram of the random XY spin chain using ground state fidelity.
  • To explore the utility of fidelity susceptibility as a probe for critical phenomena.

Main Methods:

  • Numerical evaluation of ground state fidelity susceptibility.
  • Mapping the spin chain model to quasifree fermions.

Main Results:

  • Fidelity susceptibility and its scaling properties reveal key information about the phase diagram.
  • Successfully identified the Ising critical line and Griffiths phase regions.
  • Results align with previous analytical and numerical findings.

Conclusions:

  • Ground state fidelity susceptibility is an effective tool for characterizing quantum phase transitions.
  • The study provides a robust method for determining phase boundaries in complex spin systems.