Covariant description of the spin states of a fermi particle moving in external fields

1967 ◽  
Vol 10 (4) ◽  
pp. 20-22
Author(s):  
I. M. Ternov ◽  
V. G. Bagrov ◽  
V. A. Bordovitsyn
1989 ◽  
Vol 04 (18) ◽  
pp. 4961-4975 ◽  
Author(s):  
RICHARD HERRMANN ◽  
GÜNTER PLUNIEN ◽  
MARTIN GREINER ◽  
WERNER SCHEID

The free Schrödinger equation in Riemannian collective spaces with an arbitrary number of dimensions is linearized. The coupling of external fields is discussed. The operators to classify collective spin states are introduced and the collective Pauli equation is derived.


1980 ◽  
Vol 41 (C10) ◽  
pp. C10-143-C10-154 ◽  
Author(s):  
A. Faessler

1983 ◽  
Vol 44 (C7) ◽  
pp. C7-193-C7-208 ◽  
Author(s):  
F. Penent ◽  
C. Chardonnet ◽  
D. Delande ◽  
F. Biraben ◽  
J. C. Gay

2020 ◽  
Author(s):  
Pierpaolo Morgante ◽  
Roberto Peverati

<div><div><div><p>In this Letter, we introduce a new database called carbon long bond 18 (CLB18), composed of 18 structures with one long C–C bond. We use this new database to evaluate the performance of several low-cost methods commonly used for geometry optimization of medium and large molecules. We found that the long bonds in CLB18 are electronically different from those found in barrier heights databases. We also report the unexpected correlation between the results of CLB18 and those of the energetics of spin states in transition-metal complexes. Given this unique property, CLB18 can be a useful tool for assessing existing electronic structure calculation methods and developing new ones.</p></div></div></div>


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