scholarly journals Relativistic interaction Hamiltonian coupling the angular momentum of light and the electron spin

2015 ◽  
Vol 92 (10) ◽  
Author(s):  
Ritwik Mondal ◽  
Marco Berritta ◽  
Charles Paillard ◽  
Surendra Singh ◽  
Brahim Dkhil ◽  
...  
1976 ◽  
Vol 54 (21) ◽  
pp. 2118-2127 ◽  
Author(s):  
K.-E. J. Hallin ◽  
Y. Hamada ◽  
A. J. Merer

Rotational analyses have been carried out for the (0,0) bands of the [Formula: see text] absorption systems of S16O2 and S18O2, from high dispersion plates taken with the gases at dry ice temperature. The rotational analysis of the (0,0) band of S16O2 given by Brand, Jones, and di Lauro is confirmed in general, but their values for the anisotropic electron spin fine structure constants are found to be in error. Our new values remove the discrepancy in the sign of the spin–spin interaction parameter β = E between the gas phase work and the solid state value given by Tinti. This discrepancy had been rationalized by Brand, Jones, and di Lauro in terms of a different choice of phases for the angular momentum operators, but this argument is shown to be incorrect. The spectrum of S18O2 confirms our new values for the spin constants in detail.


1999 ◽  
Vol 52 (3) ◽  
pp. 515 ◽  
Author(s):  
B. V. Hall ◽  
M. Shurgalin ◽  
A. J. Murray ◽  
W. R. MacGillivray ◽  
M. C. Standage

Measurements of the transfer of angular momentum to rubidium and sodium atoms in collisions with electrons are reported. For excitation of the rubidium 52S1/2–52 P3/2 transition, it is found that existing first order distorted wave Born approximation calculations show poor agreement with the data and that a model which includes the relativistic interaction between the electrons and the atoms in the potential is needed. For the de-excitation of the sodium 42S1/2 –32 P3/2 transition, a long standing proposal relating to the sign of the transferred angular momentum is not supported except at small scattering angles. A convergent close coupling calculation displays excellent agreement with the measured data.


Author(s):  
Jochen Autschbach

The historical background of the discovery of the electron spin is provided. The Stern-Gerlach and Einstein-de Haas experiments are discussed. The operators for a single electron spin are defined, along with the formulation in terms of the 2x2 Pauli matrices. The discussion then moves on to the definition of the spin for many-electron systems and explains how the famous Hund rule (or Hund’s first rule) arises from considering the energy of an open-shell spin singlet vs. triplet state. Next, the generalized angular momentum, ladder operators, and spherical vector operators are defined, and the rules for the addition of angular momenta are derived. The chapter concludes with a discussion of the total spin, orbital, and total angular momentum for open-shell atoms, term symbols, and Hund’s second and third rule.


2019 ◽  
Vol 10 (1) ◽  
Author(s):  
Takafumi Fujita ◽  
Kazuhiro Morimoto ◽  
Haruki Kiyama ◽  
Giles Allison ◽  
Marcus Larsson ◽  
...  

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