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Related Concept Videos

Quantum Numbers02:43

Quantum Numbers

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.
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...
Healing II: Complications01:24

Healing II: Complications

Complications during healing arise when tissue repair is altered by local or systemic factors. These changes involve abnormal collagen deposition, altered biomechanics, and reduced vascular supply, impairing restoration of normal structure and function.Loss of FunctionScar tissue differs significantly from the original tissue it replaces. In the skin, fibrosis lacks adnexal structures such as hair follicles, sebaceous glands, and sweat glands. Their absence reduces tactile sensitivity, impairs...
Potential Due to a Polarized Object01:29

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Hückel's Rule Diagram of π MOs: Frost Circle01:08

Hückel's Rule Diagram of π MOs: Frost Circle

The Frost circle or the inscribed polygon method is a graphical method for determining the relative energies of π molecular orbitals (MOs) for planar, fully conjugated, and monocyclic compounds. This method was first described by A. A. Frost and Boris Musulin in 1953.
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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this particular...

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Related Experiment Video

Updated: Jul 4, 2026

Visualizing Scar Development Using SCAD Assay - An Ex-situ Skin Scarring Assay
07:40

Visualizing Scar Development Using SCAD Assay - An Ex-situ Skin Scarring Assay

Published on: April 28, 2022

Scarring in open quantum systems.

Diego Wisniacki1, Gabriel G Carlo

  • 1Departamento de Física, FCEyN, UBA, Pabellón 1 Ciudad Universitaria, C1428EGA Buenos Aires, Argentina.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 4, 2008
PubMed
Summary

We found that quantum scarring in open quantum systems localizes around unstable periodic orbits, similar to closed systems. This phenomenon persists even when the system is open, as shown in the cat map model.

Area of Science:

  • Quantum physics
  • Quantum chaos
  • Complex systems

Background:

  • Scarring phenomena in quantum mechanics describe the localization of eigenfunctions around unstable classical periodic orbits.
  • Understanding these phenomena in open quantum systems is crucial for their practical applications.

Purpose of the Study:

  • To investigate quantum scarring in open quantum systems.
  • To determine if scarring persists in open systems and how it relates to classical periodic orbits.

Main Methods:

  • Numerical simulations were employed to study the behavior of resonance eigenstates in an open quantum system.
  • The cat map, a paradigmatic model of quantum chaos, was used for the investigation.

Main Results:

Related Experiment Videos

Last Updated: Jul 4, 2026

Visualizing Scar Development Using SCAD Assay - An Ex-situ Skin Scarring Assay
07:40

Visualizing Scar Development Using SCAD Assay - An Ex-situ Skin Scarring Assay

Published on: April 28, 2022

  • Numerical evidence demonstrates that individual resonance eigenstates in open quantum systems exhibit localization around unstable short periodic orbits.
  • This localization pattern is analogous to that observed in closed quantum systems.
  • The structure of eigenfunctions around these classical objects remains intact despite the system being open.
  • Conclusions:

    • Quantum scarring is a robust phenomenon that is not destroyed by opening a quantum system.
    • The findings suggest that classical periodic orbits play a significant role in the quantum behavior of open systems, similar to closed systems.