scholarly journals Relativistic Coulomb problem: lowest-lying energy levels at the critical coupling constant analytically

1996 ◽  
Vol 387 (3) ◽  
pp. 573-576 ◽  
Author(s):  
Wolfgang Lucha ◽  
Franz F Schöberl
1996 ◽  
Vol 54 (5) ◽  
pp. 3790-3794 ◽  
Author(s):  
Wolfgang Lucha ◽  
Franz F. Schöberl

1977 ◽  
Vol 55 (10) ◽  
pp. 937-942 ◽  
Author(s):  
A. F. Leung ◽  
Ying-Ming Poon

The absorption spectra of UCl5 single crystal were observed in the region between 0.6 and 2.4 μm at room, 77, and 4.2 K temperatures. Five pure electronic transitions were assigned at 11 665, 9772, 8950, 6643, and 4300 cm−1. The energy levels associated with these transitions were identified as the splittings of the 5f1 ground configuration under the influence of the spin–orbit coupling and a crystal field of C2v symmetry. The number of crystal field parameters was reduced by assuming the point-charge model where the positions of the ions were determined by X-ray crystallography. Then, the crystal field parameters and the spin–orbit coupling constant were calculated to be [Formula: see text],[Formula: see text], [Formula: see text], and ξ = 1760 cm−1. The vibronic analysis showed that the 90, 200, and 320 cm−1 modes were similar to the T2u(v6), T1u(v4), and T1u(v3) of an UCl6− octahedron, respectively.


2019 ◽  
Vol 127 (1) ◽  
pp. 10005 ◽  
Author(s):  
Dai-Nam Le ◽  
Anh-Luan Phan ◽  
Van-Hoang Le ◽  
Pinaki Roy

2018 ◽  
Vol 47 ◽  
pp. 1860095
Author(s):  
V. E. Rochev

The solution of the equation for the pion propagator in the leading order of the [Formula: see text] – expansion for a vector-matrix model with interaction [Formula: see text] in four dimensions shows a change of the asymptotic behavior in the deep Euclidean region in a vicinity of a certain critical value of the coupling constant.


1996 ◽  
Vol 03 (01) ◽  
pp. 489-492 ◽  
Author(s):  
JIJUN ZHAO ◽  
XIAOSHUANG CHEN ◽  
FENGQI LIU ◽  
GUANGHOU WANG

The Su–Schrieffer–Heeger (SSH) Hamiltonian has been extended to study the electron–phonon interaction and the electronic structures of the alkali-like metal clusters. The eigen-energy levels of s valence electrons are obtained from a Hückel-like Hamiltonian including the correction of the electron–phonon interaction in the hopping integral, which is proportional to the variable of bond length. The self-consistent equations for electrons and phonons are solved adiabatically through an iteration process. The energy-level structures of an octahedral Cu6 cluster are calculated with variable electron–phonon coupling constant λ to investigate the influence of electron–phonon interaction on the lattice distortion and electronic structures of metal clusters. The size-dependent ionization potential for small Cun clusters are calculated and compared with the experimental results.


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