The electrostatic dipole moment of a nucleus in the meson theory

1940 ◽  
Vol 36 (4) ◽  
pp. 438-440
Author(s):  
S. T. Ma
Keyword(s):  
Electromagnetic Field ◽  
Dipole Moment ◽  
Vector Potential ◽  
Scalar Potential ◽  
External Electromagnetic Field ◽  
Meson Field ◽  
Multipole Moments ◽  
Meson Theory

The interaction between an external electromagnetic field and a nucleus, including its exchange meson field, has recently been investigated by several authors (1). The interaction between a vector potential A and a nucleus has been found to be expressible in terms of the electric and magnetic multipole moments of the latter. It is the object of this note to discuss the corresponding interaction with a scalar potential V, and its connexion with previous results.

Photomagnetic disintegration and magnetic moment of the deuteron in the meson theory

1940 ◽  
Vol 36 (3) ◽  
pp. 351-362 ◽  
Author(s):  
S. T. Ma
Keyword(s):  
Electromagnetic Field ◽  
Magnetic Dipole ◽  
Cross Section ◽  
Magnetic Moment ◽  
Dipole Moments ◽  
External Electromagnetic Field ◽  
Nuclear System ◽  
Multipole Moments ◽  
Early Stages ◽  
Meson Theory

The interaction between an external electromagnetic field and a nuclear system can be expressed in terms of the multipole moments. The electric quadripole and the magnetic dipole moments of the deuteron have been calculated, taking into account the exchange forces as given by the meson theory. The cross-section of the photomagnetic effect of the deuteron has been calculated.This work was carried out under the guidance of Dr Heitler and Dr Fröhlich. The writer wishes to express his sincerest thanks to them for suggesting the problem and many valuable comments. The writer is also indebted to Dr Kahn for discussions during the early stages of this work.

A consistency condition for electron wave functions

1958 ◽  
Vol 54 (2) ◽  
pp. 247-250 ◽  
Author(s):  
C. Jayaratnam Eliezer
Keyword(s):  
Wave Function ◽  
Electromagnetic Field ◽  
Wave Equation ◽  
Vector Potential ◽  
Scalar Potential ◽  
Consistency Condition ◽  
Wave Functions ◽  
Electromagnetic Potential ◽  
Electron Wave ◽  
Usual Problem

Dirac's wave equation of an electron enables one to solve for the wave function of an electron moving in an electromagnetic field. The wave function ψ has 4 components ψ1, ψ2, ψ3, ψ4, and the electromagnetic field is described by a four-vector Aμ, consisting of a scalar potential φ and a vector potential A.In the usual problem, we solve for the wave function ψ when the potential Aμ is given. By doing so, we obtain the wave function of an electron which moves in a given electromagnetic field. It is of some interest to consider the reverse question: given the wave function ψ, what can we say about the electromagnetic potential Aμ, which is connected with ψ by Dirac's equation? Is Aμ uniquely determined, and if not, what is the extent to which it is arbitrary ?

Dirac equation with some time-dependent electromagnetic terms

2016 ◽  
Vol 31 (23) ◽  
pp. 1650132 ◽  
Author(s):  
K. Saeedi ◽  
S. Zarrinkamar ◽  
H. Hassanabadi
Keyword(s):  
Electromagnetic Field ◽  
Dirac Equation ◽  
Linear Form ◽  
Vector Potential ◽  
Scalar Potential ◽  
Time Dependent ◽  
Exponential Form

We study the motion of relativistic fermions in a time-dependent electromagnetic field within the framework of Dirac equation. We consider the time-dependent scalar potential of the exponential form and the vector potential of linear form. We obtain the eigenfunctions and eigenvalues.

ON THE ESSENTIAL SELF-ADJOINTNESS OF THE RELATIVISTIC HAMILTONIAN WITH A NEGATIVE SCALAR POTENTIAL

1995 ◽  
Vol 07 (05) ◽  
pp. 709-721 ◽  
Author(s):  
TAKASHI ICHINOSE ◽  
WATARU ICHINOSE
Keyword(s):  
Electromagnetic Field ◽  
Dirac Operator ◽  
Schrödinger Operator ◽  
Vector Potential ◽  
Relativistic Quantum ◽  
Scalar Potential ◽  
Spinless Particle ◽  
Schrodinger Operator ◽  
Quantum Hamiltonian

The relativistic quantum Hamiltonian H describing a spinless particle in an electromagnetic field is considered. H is associated with the classical Hamiltonian [Formula: see text] via Weyl’s correspondence. In the previous papers the second author has proved that H is essentially self-adjoint on [Formula: see text] if the scalar potential V(x) is a function bounded from below by a polynomial in x. In the present paper this result will be extended to show that H is essentially self-adjoint there if V(x) is bounded from below by -C exp a|x| for some positive constants C and a. Ameliorated is also the condition on the vector potential A(x). The result of this kind is quite different from that on the non-relativistic operator, i.e. the Schrödinger operator, but much closer to that on the Dirac operator.

scholarly journals PSEUDOCLASSICAL MODEL OF SPINNING PARTICLE WITH ANOMALOUS MAGNETIC MOMENTUM

1993 ◽  
Vol 08 (05) ◽  
pp. 463-468 ◽  
Author(s):  
D.M. GITMAN ◽  
A.V. SAA
Keyword(s):  
Electromagnetic Field ◽  
External Electromagnetic Field ◽  
Invariant Form ◽  
Pauli Equation ◽  
Spinning Particle ◽  
Dirac Quantization

A generalization of the pseudoclassical action of a spinning particle in the presence of an anomalous magnetic momentum is given. The action is written in reparametrization and supergauge invariant form. The Dirac quantization, based on the Hamiltonian analyzes of the model, leads to the Dirac-Pauli equation for a particle with an anomalous magnetic momentum in an external electromagnetic field. Due to the structure of first class constraints in that case, the Dirac quantization demands for consistency to take into account an operator’s ordering problem.

Electrospun Sodium-Cobalt Oxide Ceramic Nanofiber and the Electromagnetic Responses

2017 ◽  
Author(s):  
Arturo G. Bautista ◽  
Juan A. Aguado ◽  
Yong X. Gan
Keyword(s):  
Electromagnetic Field ◽  
Cobalt Oxide ◽  
External Electromagnetic Field ◽  
Dielectric Behavior ◽  
Ceramic Fiber ◽  
Oxide Ceramic ◽  
Hyperthermia Treatment ◽  
Electromagnetic Responses ◽  
Sodium Cobalt Oxide ◽  
Heating Behavior

In this work, a sodium-cobalt oxide (NaxCo2O4) ceramic composite nanofiber was manufactured through electrospinning. The response of the fiber to external electromagnetic field was characterized to observe the heat generation in the fiber. In addition, we also measured the current passing through the fiber under the polarization of DC potential. It is found that the fiber has intensive heating behavior when it is exposed to the electromagnetic field. The temperature increases more than 5 degrees in Celsius scale only after 5 s exposure. The current – potential curve of the fiber reveals its dielectric behavior. It is concluded that this ceramic fiber has the potential to be used for hyperthermia treatment in biomedical engineering or for energy conversions.

Mass transport under partially reflected waves in a rectangular channel

1994 ◽  
Vol 266 ◽  
pp. 121-145 ◽  
Author(s):  
Jiangang Wen ◽  
Philip L.-F. Liu
Keyword(s):  
Mass Transport ◽  
Vector Potential ◽  
Numerical Solutions ◽  
Rectangular Channel ◽  
Scalar Potential ◽  
Second Order ◽  
Nonlinear Transport ◽  
Reflected Waves ◽  
Transport Velocity ◽  
Mass Transport Velocity

Mass transport under partially reflected waves in a rectangular channel is studied. The effects of sidewalls on the mass transport velocity pattern are the focus of this paper. The mass transport velocity is governed by a nonlinear transport equation for the second-order mean vorticity and the continuity equation of the Eulerian mean velocity. The wave slope, ka, and the Stokes boundary-layer thickness, k (ν/σ)½, are assumed to be of the same order of magnitude. Therefore convection and diffusion are equally important. For the three-dimensional problem, the generation of second-order vorticity due to stretching and rotation of a vorticity line is also included. With appropriate boundary conditions derived from the Stokes boundary layers adjacent to the free surface, the sidewalls and the bottom, the boundary value problem is solved by a vorticity-vector potential formulation; the mass transport is, in gneral, represented by the sum of the gradient of a scalar potential and the curl of a vector potential. In the present case, however, the scalar potential is trivial and is set equal to zero. Because the physical problem is periodic in the streamwise direction (the direction of wave propagation), a Fourier spectral method is used to solve for the vorticity, the scalar potential and the vector potential. Numerical solutions are obtained for different reflection coefficients, wave slopes, and channel cross-sectional geometry.

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