Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Quaternionic elastic scattering
View through CrossRef
Abstract
We study the elastic scattering of quantum particles based on a real Hilbert space approach to quaternionic quantum mechanics (
QM) and derive expression for the wave function, the phase shifts, as well as the optical theorem for the case of a hard sphere scattering potential. The strong agreement between these new quaternionic results and the corresponding results in complex quantum mechanics reinforce the validity of the
QM generalization of ordinary complex quantum mechanics (
QM).
Title: Quaternionic elastic scattering
Description:
Abstract
We study the elastic scattering of quantum particles based on a real Hilbert space approach to quaternionic quantum mechanics (
QM) and derive expression for the wave function, the phase shifts, as well as the optical theorem for the case of a hard sphere scattering potential.
The strong agreement between these new quaternionic results and the corresponding results in complex quantum mechanics reinforce the validity of the
QM generalization of ordinary complex quantum mechanics (
QM).
Related Results
Quaternionic Bekenstein-Sanders Guage Fields for TeVeS
Quaternionic Bekenstein-Sanders Guage Fields for TeVeS
Treating the Bekenstein-Sanders field \(B_\mu\), for which \(B_\mu B^\mu = -1\) as a gauge field requires that the field be non--Abelian. This structure was worked out in a previou...
Comparison of Electron Compton Scattering with Positron Compton Scattering in Polyethylene
Comparison of Electron Compton Scattering with Positron Compton Scattering in Polyethylene
Understanding the interaction of charged particles with polymers is crucial for applications in materials science, radiation physics, and electron spectroscopy. This study investig...
A noval fractional uncertainty relation in quaternionic quantum mechanics
A noval fractional uncertainty relation in quaternionic quantum mechanics
In this work, we introduce a new form of the quaternionic fractional
uncertainty relation within the framework of quaternionic quantum
mechanics. This is closely associated with th...
Difference in force decay latex and non-latex elastic band based on duration of elastic use and salivary pH concentration: In vitro study
Difference in force decay latex and non-latex elastic band based on duration of elastic use and salivary pH concentration: In vitro study
OBJECTIVE:
This study aimed to determine the difference in force decay between latex and non-latex elastic bands based on duration of use and salivary pH concentration....
Strong light scattering of highly oxygenated organic aerosols impacts significantly on visibility degradation
Strong light scattering of highly oxygenated organic aerosols impacts significantly on visibility degradation
Abstract. Secondary organic aerosols (SOAs) account for a large fraction of atmospheric
aerosol mass and play significant roles in visibility impairment by
scattering solar radiati...
Strong light scattering of highly oxygenated organic aerosols impacts significantly on visibility degradation
Strong light scattering of highly oxygenated organic aerosols impacts significantly on visibility degradation
Abstract. Secondary organic aerosols (SOA) account for a large fraction of atmospheric aerosol mass and play significant roles in visibility impairment by scattering solar radiatio...
Scattering of light synoptically modeled for particulate planetary surfaces
Scattering of light synoptically modeled for particulate planetary surfaces
Scattering and absorption of light in macroscopic discrete random media of densely packed particles (e.g., planetary regoliths) constitutes a computational challenge in electromagn...
Single-image Shape and from Shading with Atmospheric Correction for Precise Topographic Reconstruction on Mars
Single-image Shape and from Shading with Atmospheric Correction for Precise Topographic Reconstruction on Mars
. Introduction Accurate and high-resolution digital elevation models (DEMs) are essential for Martian landing site selection and geological analysis [1]. However, existing photogra...