Related Experiment Video
Updated: Jul 12, 2025
11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
8.6K
Nonlocal Static and Dynamical Vacuum Field Correlations and Casimir-Polder Interactions
Roberto Passante1,2, Lucia Rizzuto1,2
1Dipartimento di Fisica e Chimica-Emilio Segrè, Università degli Studi di Palermo, Via Archirafi 36, I-90123 Palermo, Italy.
Entropy (Basel, Switzerland)
|October 28, 2023
Summary
This review explores spatial field correlations in quantum fields, revealing their nonlocal behavior and impact on van der Waals and Casimir-Polder interactions. These correlations offer insights into vacuum properties and causality.
Area of Science:
- Quantum Field Theory
- Atomic, Molecular, and Optical Physics
Background:
- Spatial field correlations are fundamental to understanding quantum field behavior.
- Dispersion interactions, like van der Waals and Casimir-Polder forces, are influenced by these correlations.
Purpose of the Study:
- To investigate spatial field correlations for massless scalar and electromagnetic fields.
- To analyze how these correlations manifest in static and dynamic dispersion interactions.
- To explore the nonlocal features of field correlations and their relation to causality.
Main Methods:
- Analysis of spatial field correlations for noninteracting fields.
- Inclusion of field sources (atoms, polarizable bodies) in stationary and nonstationary conditions.
- Evaluation of electric field correlations in the presence of atoms and their time evolution.
Main Results:
- Spatial field correlations exhibit nonlocal behavior.
- Nonlocality is demonstrated in both stationary and nonstationary conditions.
- Field correlations directly influence van der Waals and Casimir-Polder interactions.
Conclusions:
- Nonlocal field correlations can be indirectly probed through dispersion interactions.
- This research provides insights into the properties of nonlocal vacuum field correlations.
- The interplay between nonlocality and causality in quantum fields is highlighted.
Related Concept Videos
01:27Electrostatic Boundary Conditions in Dielectrics
1.2K
When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's...
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's...
1.2K
01:16Electrostatic Boundary Conditions
481
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
481
01:23Magnetic Field due to Moving Charges
8.8K
A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
8.8K
01:08Spin–Spin Coupling Constant: Overview
941
In bromoethane, the three methyl protons are coupled to the two methylene protons that are three bonds away. In accordance with the n+1 rule, the signal from the methyl protons is split into three peaks with 1:2:1 relative intensities. The methylene protons appear as a quartet, with the relative intensities of 1:3:3:1.
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
Qualitatively, any spin plus-half nucleus polarizes the spins of its electrons to the minus-half state. Consequently, the paired electron in the hydrogen–carbon bond must...
941
01:28Magnetostatic Boundary Conditions
970
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
970
01:25Divergence and Curl of Electric Field
5.7K
The divergence of a vector is a measure of how much the vector spreads out (diverges) from a point. For example, an electric field vector diverges from the positive charge and converges at the negative charge. The divergence of an electric field is derived using Gauss's law and is equal to the charge density divided by the permittivity of space. Mathematically, it is expressed as
5.7K