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Van der Waals Interactions01:24

Van der Waals Interactions

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Atoms and molecules interact with each other through intermolecular forces. These electrostatic forces arise from attractive or repulsive interactions between particles with permanent, partial, or temporary charges. The intermolecular forces between neutral atoms and molecules are ion–dipole, dipole–dipole, and dispersion forces, collectively known as van der Waals forces.
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Atoms and molecules interact through bonds (or forces): intramolecular and intermolecular. The forces are electrostatic as they arise from interactions (attractive or repulsive) between charged species (permanent, partial, or temporary charges) and exist with varying strengths between ions, polar, nonpolar, and neutral molecules. The different types of intermolecular forces are ion–dipole, dipole–dipole, hydrogen bonds, and dispersion; among these, dipole–dipole, hydrogen...
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Intermolecular forces (IMF) are electrostatic attractions arising from charge-charge interactions between molecules. The strength of the intermolecular force is influenced by the distance of separation between molecules. The forces significantly affect the interactions in solids and liquids, where the molecules are close together. In gases, IMFs become important only under high-pressure conditions (due to the proximity of gas molecules). Intermolecular forces dictate the physical properties of...
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Chemical Bonds

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Atoms participate in a chemical bond formation to acquire a completed valence-shell electron configuration similar to that of the noble gas nearest to it in atomic number. Ionic, covalent, and metallic bonds are some of the important types of chemical bonds. Bond energy and bond length determine the strength of a chemical bond.
Types of Chemical Bonds
An ionic bond is formed due to electrostatic attraction between cations and anions. Often, the ions are formed by the transfer of electrons...
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Related Experiment Video

Updated: Oct 5, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Duality between Weak and Strong Interactions in Quantum Gases.

Etienne Granet1, Bruno Bertini1, Fabian H L Essler1

  • 1Rudolf Peierls Centre for Theoretical Physics, Clarendon Laboratory, Oxford OX1 3PU, United Kingdom.

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|January 28, 2022
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Summary

Researchers developed a new method to connect strongly interacting bosons with weakly interacting fermions in one-dimensional quantum gases. This breakthrough enables applying perturbation theory to strongly interacting bosons, solving a long-standing problem in quantum physics.

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Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Many-body systems

Background:

  • A known duality exists between hard-core bosons and noninteracting fermions in 1D quantum gases.
  • An exact field-theory duality connecting strongly interacting bosons to weakly interacting fermions has been lacking.
  • This gap hinders the application of established theoretical methods to complex bosonic systems.

Purpose of the Study:

  • To establish an exact field-theory duality between strongly interacting bosons and weakly interacting fermions in one dimension.
  • To provide a method for analyzing strongly interacting bosons using techniques typically applied to simpler fermionic systems.
  • To address a long-standing problem in the theoretical understanding of one-dimensional quantum systems.

Main Methods:

  • Regularization of a specific pointlike interaction in one-dimensional fermions.
  • The proposed regularization induces a wave function discontinuity proportional to its derivative.
  • This novel potential is weak for small interaction strengths, enabling standard diagrammatic perturbation theory.

Main Results:

  • A new, exact duality is established between strongly interacting bosons and weakly interacting fermions in 1D.
  • The developed regularization technique allows the application of perturbation theory to strongly interacting bosons.
  • The finite temperature spectral function of the Cheon-Shigehara model (fermionic dual to Lieb-Liniger model) was computed.

Conclusions:

  • The proposed regularization method successfully bridges the gap between strongly interacting bosons and weakly interacting fermions.
  • This work opens new avenues for studying strongly correlated quantum systems using established theoretical frameworks.
  • The computation of the spectral function demonstrates the practical utility of the new duality.