Related Experiment Video
Updated: Dec 5, 2025
08:04
Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
8.8K
Coulomb logarithm accuracy in a Yukawa potential.
1Centre de Physique Théorique, Centre National de la Recherche Scientifique, École Polytechnique, Institut Polytechnique de Paris, 91128 Palaiseau, France.
Physical Review. E
|October 20, 2020
Summary
We developed a theory for particle scattering in a Yukawa potential, covering classical, quantum, and intermediate cases. This allows accurate calculation of the Coulomb logarithm argument for large screening lengths.
Area of Science:
- Physics
- Quantum Mechanics
- Scattering Theory
Background:
- Yukawa potential describes screened electrostatic interactions.
- Understanding scattering is crucial in various physics domains.
- Previous theories often focused on specific limits.
Purpose of the Study:
- To present a comprehensive theory for particle scattering in a Yukawa potential.
- To accurately determine the Coulomb logarithm argument in the general case.
- To bridge classical and quantum scattering regimes.
Main Methods:
- Developed a complete theoretical framework for Yukawa potential scattering.
- Investigated classical, quantum, and intermediate scattering limits.
- Analyzed conditions where screening length exceeds impact parameter and de Broglie length.
Main Results:
- Provided an accurate determination of the Coulomb logarithm argument.
- Unified treatment across different scattering regimes.
- Established connection with existing literature.
Conclusions:
- The presented theory offers a robust method for analyzing Yukawa potential scattering.
- Accurate Coulomb logarithm determination is achieved under specific conditions.
- The work provides a foundation for further studies in screened interactions.
Related Concept Videos
01:30Coulomb's Law
11.0K
Experiments with electric charges have shown that if two objects each have an electric charge, they exert an electric force on each other. The magnitude of the force is linearly proportional to the net charge on each object and inversely proportional to the square of the distance between them. The direction of the force vector is along the imaginary line joining the two objects and is dictated by the signs of the charges involved.
Newton's third law applies to the Coulomb force — the...
Newton's third law applies to the Coulomb force — the...
11.0K
01:15Coulomb's Law and The Principle of Superposition
10.5K
Coulomb's Law describes the force experienced by two point charges under each other's presence. But what if there are more than two charges? For example, if there is a third charge, does it experience a force that is a simple combination of the individual forces due to the first two charges? Can it be described mathematically?
The Principle of Superposition answers the question. Yes, Coulomb's Law applies to each pair of charges, and the net force on each charge is the vector sum of...
The Principle of Superposition answers the question. Yes, Coulomb's Law applies to each pair of charges, and the net force on each charge is the vector sum of...
10.5K
01:00Coulometry: Overview
2.0K
Coulometry is one of the rapid, most accurate, and precise analytical techniques that determine the quantity of an analyte by measuring the electrical charge needed for its complete electrolysis without using any analytical standards. The total charge passed during electrolysis correlates with the analyte amount by Faraday's laws of electrolysis. For accurate coulometric measurements, a charge equal to Faraday's constant multiplied by the number of electrons involved in the relevant...
2.0K
01:27Calculations of Electric Potential II
2.1K
An electric dipole is a system of two equal but opposite charges, separated by a fixed distance. This system is used to model many real-world systems, including atomic and molecular interactions. One of these systems is the water molecule, but only under certain circumstances. These circumstances are met inside a microwave oven, where electric fields with alternating directions make the water molecules change orientation. This vibration is equivalent to heat at the molecular level.
Consider a...
Consider a...
2.1K
01:15Calculations of Electric Potential I
2.4K
Consider a ring of radius R with a uniform charge density λ. What will the electric potential be at point M, which is located on the axis of the ring at a distance x from the center of the ring?
The ring is divided into infinitesimal small arcs such that point M is equidistant from all the arcs. Here, the cylindrical coordinate system is used to calculate the electric potential at point M. A general element of the arc between angles θ and θ + dθ is of the length Rdθ and has a charge of...
The ring is divided into infinitesimal small arcs such that point M is equidistant from all the arcs. Here, the cylindrical coordinate system is used to calculate the electric potential at point M. A general element of the arc between angles θ and θ + dθ is of the length Rdθ and has a charge of...
2.4K
01:28Laws of Logarithms II
116
Logarithmic laws provide essential tools for simplifying and evaluating exponential expressions, particularly in mathematical and applied settings where powers and repeated multiplication play a central role. Two important rules are the power law and the change-of-base formula, both allowing for transforming expressions into more manageable forms.The power law of logarithms states that the logarithm of a number raised to an exponent equals the exponent multiplied by the logarithm of the base...
116