Revisiting the generalized pseudospectral method: Radial expectation values, fine structure, and hyperfine splitting of confined atom

2020 ◽  
Vol 120 (14) ◽  
Author(s):  
Lin Zhu ◽  
Yu Ying He ◽  
Li Guang Jiao ◽  
Yuan Cheng Wang ◽  
Yew Kam Ho
Keyword(s):  
Fine Structure ◽  
Hyperfine Splitting ◽  
Pseudospectral Method ◽  
Expectation Values ◽  
Generalized Pseudospectral Method ◽  
Confined Atom

scholarly journals Confinement in 3D polynomial oscillators through a generalized pseudospectral method

2014 ◽  
Vol 29 (21) ◽  
pp. 1450104 ◽  
Author(s):  
Amlan K. Roy
Keyword(s):  
Efficient Method ◽  
Three Dimensional ◽  
Pseudospectral Method ◽  
Accurate Solution ◽  
Expectation Values ◽  
New States ◽  
Even Order ◽  
Generalized Pseudospectral Method ◽  
Polynomial Potentials ◽  
First Time

Spherical confinement in three-dimensional (3D) harmonic, quartic and other higher oscillators of even order is studied. The generalized pseudospectral (GPS) method is employed for accurate solution of relevant Schrödinger equation in an optimum, non-uniform radial grid. Eigenvalues, eigenfunctions, position expectation values, radial densities in low- and high-lying states are presented in case of small, intermediate and large confinement radius. The degeneracy breaking in confined situation as well as correlation in its energy ordering with respect to the respective unconfined counterpart is discussed. For all instances, current results agree excellently with the best available literature results. Many new states are reported here for the first time. In essence, a simple, efficient method is provided for accurate solution of 3D polynomial potentials enclosed within the spherical impenetrable walls.

Correlation of Zero Field Splittings and Site Distortions V. Mn2+ in Cs2Zn3S4

1983 ◽  
Vol 38 (2) ◽  
pp. 149-153 ◽  
Author(s):  
M. Heming ◽  
G. Lehmann
Keyword(s):  
Fine Structure ◽  
Hyperfine Splitting ◽  
Site Symmetry ◽  
Zero Field ◽  
Structure Parameters ◽  
Zero Field Splitting ◽  
Zero Field Splitting Parameter ◽  
Free Ion ◽  
Splitting Parameter ◽  
Epr Signal

Abstract In platelets of Cs2Zn3S4 with about 4% of the Zn substituted by Mn two nonequivalent centers of isolated Mn2+ were observed in addition to a broad EPR signal near g = 2 which is assigned to clusters of interconnected MnS4 units. The fine structure and hyperfine structure parameters for the single-ion centers (all in units of 1CT 4 cm -1) areb02 = -318.3 ± 3; b22 = -210.3 ± 2; Ay = -62.7; Az = -63.6 ± 0.8;b02 = -890 ± 18; b22 = -743 ± 36; Ay = -60.6; Az = - 61.4 ± 0.8;for centers I and II, resp. Center II arises from Zn sites of C 2 site symmetry while for center I assignment to either one of two sites with D2 site symmetry is possible. The larger hyperfine splitting constants as well as the superposition analysis favor the larger sites which are not occupied by Zn, but are partly occupied in the analogous Mn (and Co) compounds. Superposition analysis yields the same value of + 0.12 ± 0.02 cm-1 for the intrinsic zero field splitting parameter b̄2 of the bridging MnS4 units in both sites. gz is significantly higher than the free ion value indicating a higher degree of covalency than in Cds and CdGa2S4.

scholarly journals Calculations of low-lying states of hydrogen atom in strong magnetic field by generalized pseudospectral method

2011 ◽  
Vol 60 (4) ◽  
pp. 043201
Author(s):  
Yan Jun ◽  
Zeng Si-Liang ◽  
Zou Shi-Yang ◽  
Ni Fei-Fei ◽  
He Jian-Feng
Keyword(s):  
Magnetic Field ◽  
Hydrogen Atom ◽  
Strong Magnetic Field ◽  
Pseudospectral Method ◽  
Generalized Pseudospectral Method
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