Method of exhibiting different atomic states by graphing the real parts of the wave functions

1991 ◽  
Vol 59 (5) ◽  
pp. 469-470
Author(s):  
Robert L. W. Chen
Keyword(s):  
Wave Functions ◽  
The Real ◽  
Atomic States

Electronic wave functions IX. Calculations for the three lowest states of the beryllium atom

1953 ◽  
Vol 217 (1128) ◽  
pp. 136-150 ◽  
Keyword(s):  
Variational Method ◽  
Wave Functions ◽  
The Other ◽  
Elementary Functions ◽  
Exponential Functions ◽  
Electronic Wave ◽  
Atomic Properties ◽  
Electronic Wave Functions ◽  
Atomic States

The investigation described here has provided wave functions for the lowest S 1 , P 1 and P 3 states of the beryllium atom which are more accurate according to the energy test than any wave functions reported previously for these states. The first is an improvement on a previous result by the author, and the other two on results by Hartree & Hartree. The calculations were performed by the poly-detor variational method using exponential functions, and they provided an opportunity to test particular procedures for the choice of elementary functions and detors. The wave functions will be valuable for the calculation of atomic properties, but a simple examination is sufficient to show interesting characteristics such as the occurrence of various types of electronic positional correlation. In the calculation various theorems and formulas were established, and these will be useful for further calculations on the same states and also for calculations on many more complicated atomic states.

Photoionization of excited atomic states: Effects of the initial wave functions

1984 ◽  
Vol 29 (6) ◽  
pp. 3431-3433 ◽  
Author(s):  
Alfred Z. Msezane
Keyword(s):  
Wave Functions ◽  
Initial Wave ◽  
Atomic States

scholarly journals Matching polynomial tails to the cut-off Woods–Saxon potential

2017 ◽  
Vol 26 (11) ◽  
pp. 1750078 ◽  
Author(s):  
Á. Baran ◽  
T. Vertse
Keyword(s):  
Hermite Polynomial ◽  
Wave Functions ◽  
Saxon Potential ◽  
The Real ◽  
Matching Polynomial ◽  
Resonant Wave

Cutting off the tail of the Woods–Saxon (WS) and generalized WS (GWS) potentials changes the distribution of the poles of the [Formula: see text]-matrix considerably. Here, we modify the tail of the cut-off WS (CWS) and cut-off generalized WS (CGWS) potentials by attaching Hermite polynomial tails to them beyond the cut. The tails reach the zero value more or less smoothly at the finite ranges of the potential. Reflections of the resonant wave functions can take place at different distances. The starting points of the pole trajectories have been reproduced not only for the real values and the moduli of the starting points, but also for the imaginary parts.

scholarly journals Entanglement action for the real-space entanglement spectra of chiral Abelian quantum Hall wave functions

2021 ◽  
Vol 104 (19) ◽  
Author(s):  
Greg J. Henderson ◽  
G. J. Sreejith ◽  
Steven H. Simon
Keyword(s):  
Quantum Hall ◽  
Real Space ◽  
Wave Functions ◽  
The Real
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