STUDY OF A PROPOSAL FOR DETERMINING THE g-FACTOR ANOMALY FOR ELECTRONS BY RESONANCE EXCITATION IN A MAGNETIC FIELD

1963 ◽  
Vol 41 (10) ◽  
pp. 1571-1579 ◽  
Author(s):  
J. Byrne
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Field ◽  
Experimental Determination ◽  
Homogeneous Magnetic Field ◽  
Resonance Excitation ◽  
Matrix Elements ◽  
G Factor ◽  
The Matrix

Following recent proposals for the experimental determination of the electron g-factor anomaly, a study has been made of the properties required of a perturbing electromagnetic field for the production of particular transitions between the states of an electron moving in a constant homogeneous magnetic field. The matrix elements have been calculated for the transitions of interest and some suggestions have been advanced for the solution of certain experimental problems indicated by the results of the study.

The Zeeman Effect in Triplet States of Rotating Asymmetric Molecules

1975 ◽  
Vol 53 (19) ◽  
pp. 1853-1860 ◽  
Author(s):  
J. C. D. Brand ◽  
C. di Lauro ◽  
D. S. Liu
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Energy Levels ◽  
Zeeman Effect ◽  
Homogeneous Magnetic Field ◽  
Triplet States ◽  
Matrix Elements ◽  
The Matrix ◽  
Asymmetric Rotor ◽  
Magnetic Tuning

Intermediate field theory is used to obtain the matrix elements which determine the action of a homogeneous magnetic field on the energy levels of triplet states of asymmetric rotor molecules. Applications of these formulas are discussed (i) in relation to the Zeeman effect on the rotational fine structure of triplet–singlet transitions, where conditions are identified under which individual lines remain unbroadened by the field, and (ii) in connection with the magnetic tuning of singlet–triplet resonance.

Matrix Representation for Calculation of the Second-Order Aberration in Ion Optics

1966 ◽  
Vol 21 (1-2) ◽  
pp. 9-14
Author(s):  
Isao Takeshita
Keyword(s):  
Magnetic Field ◽  
Matrix Method ◽  
Arbitrary Shape ◽  
Matrix Representation ◽  
Homogeneous Magnetic Field ◽  
Second Order ◽  
Matrix Elements ◽  
Ion Trajectory ◽  
Ion Optics ◽  
The Matrix

The matrix representation for calculating the ion trajectory is extended to include the secondorder aberration terms.Properties of the matrix and relations between its elements are discussed.As an example of the application of the matrix method, the second-order coefficients of a homogeneous magnetic field of arbitrary shape are derived and the relations between the matrix elements and Hinterberger's notations are shown.

Experimental Determination of Effective Diffusion Parameters in the Matrix of Fractured Till

2004 ◽  
Vol 3 (3) ◽  
pp. 1050-1056 ◽  
Author(s):  
Martin F. Helmke ◽  
William W. Simpkins ◽  
Robert Horton
Keyword(s):  
Experimental Determination ◽  
Effective Diffusion ◽  
Diffusion Parameters ◽  
The Matrix

scholarly journals D → π and D → K semileptonic form factors with Nf = 2 + 1 + 1 twisted mass fermions

2018 ◽  
Vol 175 ◽  
pp. 13026
Author(s):  
Vittorio Lubicz ◽  
Lorenzo Riggio ◽  
Giorgio Salerno ◽  
Silvano Simula ◽  
Cecilia Tarantino
Keyword(s):  
Pion Mass ◽  
Form Factors ◽  
Kinematical Region ◽  
Matrix Elements ◽  
Scalar Form ◽  
Mass Collaboration ◽  
Twisted Mass ◽  
The Matrix ◽  
Additional Form

We present a lattice determination of the vector and scalar form factors of the D → π(K)lv semileptonic decays, which are relevant for the extraction of the CKM matrix elements |Vcd| and |Vcs| from experimental data. Our analysis is based on the gauge configurations produced by the European Twisted Mass Collaboration with Nf = 2 + 1 +1 flavors of dynamical quarks. We simulated at three different values of the lattice spacing and with pion masses as small as 210 MeV. The matrix elements of both vector and scalar currents are determined for a plenty of kinematical conditions in which parent and child mesons are either moving or at rest. Lorentz symmetry breaking due to hypercubic effects is clearly observed in the data and included in the decomposition of the current matrix elements in terms of additional form factors. After the extrapolations to the physical pion mass and to the continuum limit the vector and scalar form factors are determined in the whole kinematical region from q2 = 0 up to [see formula in PDF] accessible in the experiments, obtaining a good overall agreement with experiments, except in the region at high values of q2 where some deviations are visible.

Sign in / Sign up

Export Citation Format

Share Document