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

Valence Bond Theory02:42

Valence Bond Theory

Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
Valence Bond Theory02:45

Valence Bond Theory

Overview of Valence Bond Theory
¹H NMR: Interpreting Distorted and Overlapping Signals01:02

¹H NMR: Interpreting Distorted and Overlapping Signals

Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)01:20

Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)

Two NMR-active nuclei bonded to a central atom can be involved in geminal or two-bond coupling. Geminal coupling is commonly seen between diastereotopic protons in chiral molecules and unsymmetrical alkenes, among others.
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
Fermi Level01:18

Fermi Level

The Fermi-Dirac function is represented by an S-shaped curve indicating the probability of an energy state being occupied by an electron at a given temperature. The Fermi level is the energy level at which there is a fifty percent chance of finding an electron, and it is positioned between the lower-energy valence band and the higher-energy conduction band.
At absolute zero temperature, electrons fill all energy states up to the Fermi level, leaving upper states empty. As the temperature rises,...

You might also read

Related Articles

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

Sort by
Same author

Circumventing Ewing sarcoma tumor microenvironment resistance by IL1RAP CAR-modified TGFβ1-imprinted natural killer cells in combination with IL-15 agonist and anti-GD2 antibody.

Journal for immunotherapy of cancer·2026
Same author

CDK4/6 inhibition sensitizes breast cancer to NK cell therapy by inducing immune-interactive surface proteins.

bioRxiv : the preprint server for biology·2026
Same author

Multimodal immunopharmacologic screens identify drugs rewiring the cancer-immune interface.

bioRxiv : the preprint server for biology·2026
Same author

Safety and clinical outcomes of a first-in-human trial of point-of-care manufactured trispecific CAR T cells targeting CD19, CD20, and CD22.

Research square·2026
Same author

Exploiting ^{20}Ne Isotopes for Precision Characterizations of Collectivity in Small Systems.

Physical review letters·2025
Same author

Parametric matrix models.

Nature communications·2025

Related Experiment Video

Updated: Jul 14, 2026

ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis
07:11

ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis

Published on: August 19, 2021

Spectral convexity for attractive SU(2N) fermions.

Dean Lee1

  • 1Department of Physics, North Carolina State University, Raleigh, North Carolina 27695-8202, USA.

Physical Review Letters
|May 16, 2007
PubMed
Summary

We prove spectral convexity for 2N fermion components, showing ground states cluster in a 2N-particle phase. This has implications for nuclear matter and neutron stars.

Area of Science:

  • Quantum mechanics
  • Nuclear physics
  • Many-body physics

Background:

  • Understanding the behavior of degenerate fermion systems is crucial in nuclear physics.
  • Investigating particle number dependence in quantum systems provides insights into emergent phenomena.

Purpose of the Study:

  • To establish a general theorem on spectral convexity with respect to particle number for 2N degenerate fermion components.
  • To explore the implications of this theorem for the ground state properties of fermionic systems.

Main Methods:

  • Developed a general theorem applicable to arbitrary spatial dimensions and system potentials (uniform or external).
  • Assumed interactions governed by an SU(2N)-invariant two-body potential with a negative definite Fourier transform.

More Related Videos

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
09:00

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser

Published on: June 28, 2018

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

Related Experiment Videos

Last Updated: Jul 14, 2026

ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis
07:11

ARL Spectral Fitting as an Application to Augment Spectral Data via Franck-Condon Lineshape Analysis and Color Analysis

Published on: August 19, 2021

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser
09:00

Experimental Methods for Spin- and Angle-Resolved Photoemission Spectroscopy Combined with Polarization-Variable Laser

Published on: June 28, 2018

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

Main Results:

  • Proved spectral convexity with respect to particle number for the described fermionic systems.
  • Demonstrated that the convexity result implies a 2N-particle clustering phase for the ground state.

Conclusions:

  • The findings provide a theoretical framework for understanding particle clustering in degenerate fermionic systems.
  • Discussed the relevance of the results to light nuclei and asymmetric nuclear matter in neutron stars.