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 de Broglie Wavelength02:32

The de Broglie Wavelength

31.1K
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...
31.1K
The Uncertainty Principle04:08

The Uncertainty Principle

29.3K
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...
29.3K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

54.0K
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.
54.0K
Bewley Lattice Diagram01:12

Bewley Lattice Diagram

997
The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
997
Parseval's Theorem for Fourier transform01:15

Parseval's Theorem for Fourier transform

1.6K
Parseval's theorem is a fundamental principle in signal processing that enables the calculation of a signal's energy in either the time domain or the frequency domain. This theorem is pivotal in demonstrating energy conservation between these two domains, ensuring that the computed energy value remains consistent regardless of the domain of analysis.
To understand Parseval's theorem, it is essential to first comprehend how signal energy is typically calculated. When considering a...
1.6K
Parseval's Theorem01:18

Parseval's Theorem

784
Parseval's theorem is a fundamental concept in signal processing and harmonic analysis. It asserts that for a periodic function, the average power of the signal over one period equals the sum of the squared magnitudes of all its complex Fourier coefficients. This theorem, named after Marc-Antoine Parseval, provides a powerful tool for analyzing the energy distribution in signals.
Interestingly, Parseval's theorem also holds for the trigonometric form of the Fourier series, which...
784

You might also read

Related Articles

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

Sort by
Same author

An asymptomatic child with a chronic genetic disease.

Skeletal radiology·2026
Same author

An asymptomatic child with a chronic genetic disease.

Skeletal radiology·2026
Same author

Laws, meta-laws, and hydrogenic symmetries: Adapting Lange's account.

Studies in history and philosophy of science·2026
Same author

Sex and pain modality differentially modulate alcohol consumption in mice.

European journal of pharmacology·2026
Same author

Prediction of posttraumatic stress and depression one-month post-injury: A comparison of two screening instruments.

Health psychology : official journal of the Division of Health Psychology, American Psychological Association·2021
Same author

Cerebral amyloid angiopathy causing non-haemorrhagic mass effect.

ANZ journal of surgery·2005
Same journal

Transferring ways of thinking and mathematizing: The statistical approach between physics and biology.

Studies in history and philosophy of science·2026
Same journal

The Dynamics of Quantum Gravity: The Missing Piece in the Spacetime Emergentist Account.

Studies in history and philosophy of science·2026
Same journal

A frame-based approach for reconstructing theories.

Studies in history and philosophy of science·2026
Same journal

Strategic ignorance, and the management of performative effects: Lessons from climate economics.

Studies in history and philosophy of science·2026
Same journal

Fictionalism and scientific realism: A response to ungrounded criticism.

Studies in history and philosophy of science·2026
Same journal

Is Emergy really a theory of value ?

Studies in history and philosophy of science·2026
See all related articles

Related Experiment Video

Updated: Nov 2, 2025

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

11.8K

Interpreting the Wigner-Eckart Theorem.

Josh Hunt1

  • 1Department of Philosophy, University of Michigan, Ann Arbor, MI, 48109, USA.

Studies in History and Philosophy of Science
|June 10, 2021
PubMed
Summary
This summary is machine-generated.

The Wigner-Eckart theorem, crucial for symmetry in physics, is surprisingly dispensable. This study argues its significance lies in how it conceptually restructures problem-solving, not in necessity.

Keywords:
ConceptualismModularizationSymmetry argumentsUnderstandingUnificationWigner-Eckart theorem

More Related Videos

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
06:37

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Published on: June 15, 2022

3.8K
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

14.8K

Related Experiment Videos

Last Updated: Nov 2, 2025

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
11:00

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section

Published on: July 19, 2016

11.8K
Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
06:37

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Published on: June 15, 2022

3.8K
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

14.8K

Area of Science:

  • Physics
  • Quantum Mechanics
  • Symmetry Principles

Background:

  • The Wigner-Eckart theorem is fundamental in applying symmetry principles in atomic, molecular, and nuclear physics.
  • Despite its centrality, the theorem is often considered dispensable as elementary methods can solve related problems.

Purpose of the Study:

  • To analyze the significance of the Wigner-Eckart theorem.
  • To explore different philosophical interpretations of the theorem's role and value.

Main Methods:

  • Contrast the Wigner-Eckart theorem with elementary matrix element calculation methods.
  • Evaluate three interpretive frameworks: conventionalism, fundamentalism, and conceptualism.

Main Results:

  • Conventionalism is deemed too pragmatic; fundamentalism requires excessive ontological commitments.
  • Conceptualism offers a superior framework by focusing on epistemic restructuring.

Conclusions:

  • The Wigner-Eckart theorem's significance stems from its ability to modularize and unify matrix element calculations.
  • It epistemically transforms problem-solving by altering the knowledge required to find solutions.