Analytical ground state wave functions for an infinite family of one‐dimensional potentials

1994 ◽  
Vol 62 (7) ◽  
pp. 636-638 ◽  
Author(s):  
M. Casas ◽  
A. Plastino
Keyword(s):  
Ground State ◽  
Infinite Family ◽  
Wave Functions ◽  
One Dimensional ◽  
State Wave

scholarly journals Calculation of multi-fractal dimensions in spin chains

2014 ◽  
Vol 372 (2007) ◽  
pp. 20120520 ◽  
Author(s):  
Y. Y. Atas ◽  
E. Bogomolny
Keyword(s):  
Ground State ◽  
Fractal Dimensions ◽  
Spin Chains ◽  
Wave Functions ◽  
One Dimensional ◽  
State Wave

It was demonstrated in Atas & Bogomolny (2012 Phys. Rev. E 86 , 021104) that the ground-state wave functions for a large variety of one-dimensional spin- models are multi-fractals in the natural spin- z basis. We present here the details of analytical derivations and numerical confirmations of this statement.

Ground-State Wave Functions for He i andH−Obtained by the Superposition of Central Field Functions

1956 ◽  
Vol 104 (6) ◽  
pp. 1593-1595 ◽  
Author(s):  
Louis C. Green ◽  
Carolyn D. Chandler ◽  
Patricia P. Rush
Keyword(s):  
Ground State ◽  
Wave Functions ◽  
Central Field ◽  
State Wave
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