Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

56.5K
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.
56.5K
The de Broglie Wavelength02:32

The de Broglie Wavelength

32.9K
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...
32.9K
Emission Spectra02:39

Emission Spectra

75.6K
When solids, liquids, or condensed gases are heated sufficiently, they radiate some of the excess energy as light. Photons produced in this manner have a range of energies, and thereby produce a continuous spectrum in which an unbroken series of wavelengths is present.
75.6K
The Uncertainty Principle04:08

The Uncertainty Principle

31.3K
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...
31.3K
Atomic Absorption Spectroscopy: Radiation and Light Sources01:13

Atomic Absorption Spectroscopy: Radiation and Light Sources

1.1K
Atomic absorption spectroscopy (AAS) relies on the Beer-Lambert law, which requires that the radiation source emits a narrow range of wavelengths to match the absorption characteristics of the analyte atom. The primary criteria for choosing an appropriate radiation source in AAS is to provide a precise and intense emission at specific wavelengths that will allow accurate detection of the analyte.
Two common narrow-range 'line' sources used in AAS are hollow-cathode lamps (HCLs) and...
1.1K
Electromagnetic Wave Equation01:24

Electromagnetic Wave Equation

2.1K
Maxwell's equations for electromagnetic fields are related to source charges, either static or moving. These fields act on a test charge, whose trajectory can thus be determined using suitable boundary conditions. The objective of electromagnetism is thus theoretically complete.
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations:...
2.1K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Optimizing disorder with machine learning to harness phase synchronization.

Chaos (Woodbury, N.Y.)·2026
Same author

Numerical study of self-injected electron acceleration in CNT structured targets driven by an 800 nm laser.

Scientific reports·2025
Same author

Causality Implications for Absorption by EM Metasurfaces.

Nanomaterials (Basel, Switzerland)·2025
Same author

Bayesian optimization of Fisher Information in nonlinear multiresonant quantum photonics gyroscopes.

Nanophotonics (Berlin, Germany)·2024
Same author

In the quest of lossless slow light at surface plasmons.

Scientific reports·2024
Same author

Scattering integral equation formulation for intravascular inclusion biosensing.

Scientific reports·2024
Same journal

Clinical crown height changes in mandibular anterior teeth retained with two types of fixed retainers over two years: findings from a randomized clinical trial.

Scientific reports·2026
Same journal

Rethinking water governance through indigenous systems: A comparative assessment of qanat and well irrigation productivity in Sabzevar County, Iran.

Scientific reports·2026
Same journal

Distributed Nash equilibrium seeking for second-order systems with finite/fixed-time convergence in the absence of velocity measurement.

Scientific reports·2026
Same journal

Determinants of pregnancy termination among ever-married women of reproductive age in Bangladesh.

Scientific reports·2026
Same journal

Occurrence and human health risk assessment of organochlorine pesticides in irrigated and non-irrigated agricultural soils of Wondogenet District, Ethiopia.

Scientific reports·2026
Same journal

High angular resolution diffusion imaging of neurodevelopment in children through data creation with deep learning.

Scientific reports·2026
See all related articles

Related Experiment Video

Updated: Jan 14, 2026

High-Resolution Neutron Spectroscopy to Study Picosecond-Nanosecond Dynamics of Proteins and Hydration Water
08:48

High-Resolution Neutron Spectroscopy to Study Picosecond-Nanosecond Dynamics of Proteins and Hydration Water

Published on: April 28, 2022

2.1K

Watson transform in quantum scattering.

Constantinos Valagiannopoulos1, Vassilios Kovanis2

  • 1School of Electrical & Computer Engineering, National Technical University of Athens, Athens, 15772, Greece. valagiannopoulos@ece.ntua.gr.

Scientific Reports
|October 24, 2025
PubMed
Summary
This summary is machine-generated.

This study enhances quantum particle scattering analysis by using the Watson transform for improved convergence. This method accurately models particle interactions in crystalline lattices, benefiting quantum research.

More Related Videos

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

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

8.8K
Studying Soft-matter and Biological Systems over a Wide Length-scale from Nanometer and Micrometer Sizes at the Small-angle Neutron Diffractometer KWS-2
11:27

Studying Soft-matter and Biological Systems over a Wide Length-scale from Nanometer and Micrometer Sizes at the Small-angle Neutron Diffractometer KWS-2

Published on: December 8, 2016

12.7K

Related Experiment Videos

Last Updated: Jan 14, 2026

High-Resolution Neutron Spectroscopy to Study Picosecond-Nanosecond Dynamics of Proteins and Hydration Water
08:48

High-Resolution Neutron Spectroscopy to Study Picosecond-Nanosecond Dynamics of Proteins and Hydration Water

Published on: April 28, 2022

2.1K
Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
12:19

Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source

Published on: April 4, 2017

8.8K
Studying Soft-matter and Biological Systems over a Wide Length-scale from Nanometer and Micrometer Sizes at the Small-angle Neutron Diffractometer KWS-2
11:27

Studying Soft-matter and Biological Systems over a Wide Length-scale from Nanometer and Micrometer Sizes at the Small-angle Neutron Diffractometer KWS-2

Published on: December 8, 2016

12.7K

Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Nanotechnology

Background:

  • Canonical solutions for quantum particle wave functions in crystalline lattices with large nanoinclusions exhibit poor convergence.
  • The discrepancy arises because nanoinclusion size exceeds the matter wave wavelength.

Purpose of the Study:

  • To develop a more efficient method for analyzing high-energy quantum particle scattering by nanoinclusions.
  • To improve the convergence rate of wave function solutions in quantum scattering problems.

Main Methods:

  • Employing the Watson transform to reformulate wave function solutions.
  • Utilizing complex-ordered Hankel functions for enhanced series convergence.

Main Results:

  • The Watson transform provides an equivalent series representation with significantly improved convergence.
  • Demonstrated a versatile tool for rigorously solving particle interactions.

Conclusions:

  • The Watson transform is a powerful technique for overcoming convergence issues in quantum scattering.
  • This approach has broad applicability in quantum emission, interference, molecular fluctuations, and quantum signal processing.