Lower Bounds to the Ground‐State Energy of Systems Containing Identical Particles

1969 ◽  
Vol 10 (4) ◽  
pp. 562-569 ◽  
Author(s):  
F. Calogero ◽  
C. Marchioro
Keyword(s):  
Lower Bounds ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Identical Particles

Rigorous lower bounds for the ground state energy of matter

2004 ◽  
Vol 332 (1-2) ◽  
pp. 54-59 ◽  
Author(s):  
E.B. Manoukian ◽  
S. Sirininlakul
Keyword(s):  
Lower Bounds ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy

scholarly journals Two-Parameter Harmonic Oscillator Expansion Method for Calculating Non-Relativistic Ground State Energy of Coulomb Three-Particle Systems with Two Identical Particles

2018 ◽  
Vol 173 ◽  
pp. 02006
Author(s):  
Algirdas Deveikis
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Traditional Approach ◽  
Coulomb Systems ◽  
Expansion Method ◽  
Variational Parameter ◽  
Oscillator Representation ◽  
Identical Particles ◽  
Oscillator Basis

The variational method in oscillator representation with individual parameters for each Jacobi coordinate is applied to the non-relativistic calculation of the ground state energy of a number of three-particle Coulomb systems, consisting of two identical particles and a different one. The accuracy and convergence rate of the calculations in the constructed oscillator basis are studied up to a total of 28 oscillator quanta. The results are compared with those of the traditional approach using only one such nonlinear variational parameter. The method with individual parameters for Jacobi coordinates is found to possess a number of advantages as compared to the traditional approach.

Lower bounds for the ground-state energy of4He clusters

1992 ◽  
Vol 14 (2) ◽  
pp. 177-181 ◽  
Author(s):  
M. Membrado ◽  
A. F. Pacheco ◽  
J. Sañudo
Keyword(s):  
Lower Bounds ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy

Exact lower bounds for the ground state energy of correlated Fermi systems

1991 ◽  
Vol 185-189 ◽  
pp. 1685-1686
Author(s):  
Roser Valenti ◽  
P.J. Hirschfeld ◽  
Joachim Stolze ◽  
Claudius Gros
Keyword(s):  
Lower Bounds ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Fermi Systems

Rigorous Lower Bounds for the Ground State Energy of Molecules by Employing Necessary N-Representability Conditions

2020 ◽  
Vol 16 (12) ◽  
pp. 7342-7356
Author(s):  
Denis Chaykin ◽  
Christian Jansson ◽  
Frerich Keil ◽  
Marko Lange ◽  
Kai Torben Ohlhus ◽  
...  
Keyword(s):  
Lower Bounds ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy
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