scholarly journals Applicability of the Richardson method in a complex-energy basis: Fermionic case

2017 ◽  
Vol 95 (5) ◽  
Author(s):  
O. Civitarese ◽  
M. Reboiro ◽  
D. Tielas
Keyword(s):  
Complex Energy ◽  
Richardson Method ◽  
Fermionic Case

Androgen Receptor Defects in Patients with Minimal and Partial Androgen Resistance Classified According to a Model of Androgen-Receptor Complex Energy States

1990 ◽  
Vol 33 (2-4) ◽  
pp. 87-94 ◽  
Author(s):  
M. Kaufman ◽  
L. Pinsky ◽  
B. Gottlieb ◽  
M. Schweitzer ◽  
A. Brezezinski ◽  
...  
Keyword(s):  
Androgen Receptor ◽  
Receptor Complex ◽  
Complex Energy ◽  
Androgen Resistance ◽  
Energy States

CONFORMAL COUPLING AND FOLDY–WOUTHUYSEN TRANSFORMATION

2003 ◽  
Vol 18 (12) ◽  
pp. 867-873 ◽  
Author(s):  
ANTONIO ACCIOLY ◽  
HAROLD BLAS
Keyword(s):  
Scalar Field ◽  
Wide Class ◽  
Mean Square ◽  
Fermionic Case ◽  
Free Scalar ◽  
The Mean

The propagation of a free scalar field ϕ with mass m in a curved background is generally described by the equation (gμν∇μ∇ν + m2 + ξR)ϕ = 0. There exist some arguments in the literature that seem to favor the conformal coupling to the detriment of the minimal one. However, the majority of these claims are inconclusive. Here we show that the exact Foldy–Wouthuysen transformation for spin-0 particle coupled to a wide class of static spacetime metrics exists independently of the value of ξ. Nevertheless, if the coupling is of the conformal type, the gravitational Darwin-like term has an uncomplicated structure and it is proportional to the corresponding term in the fermionic case. In addition, an independent computation of this term, which has its origin in the zitterbewegung fluctuation of the boson's position with the mean square <(δr)2> ≈ 1/m2, gives a result that coincides with that obtained using the aforementioned exact transformation with ξ = 1/6.

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