Upper and lower bounds of the ground state energy of anharmonic oscillators using renormalized inner projection

1991 ◽  
Vol 32 (12) ◽  
pp. 3392-3404 ◽  
Author(s):  
F. Vinette ◽  
J. Čížek
Keyword(s):  
Lower Bounds ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Upper And Lower Bounds ◽  
Anharmonic Oscillators

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

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

scholarly journals Variational Principle Techniques and the Propertiesof a Cut-off and Anharmonic Wave Function

2009 ◽  
Vol 6 (1) ◽  
pp. 113-119 ◽  
Author(s):  
A. N. Ikot ◽  
L. E. Akpabio ◽  
K. Essien ◽  
E. E. Ituen ◽  
I. B. Obot
Keyword(s):  
Dynamical System ◽  
Wave Function ◽  
Variational Principle ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Variational Principles ◽  
Analytical Tool ◽  
Three Dimensions ◽  
Anharmonic Oscillators

The variational principles are very useful analytical tool for the study of the ground state energy of any dynamical system. In this work, we have evaluated the method and techniques of variational principle to derive the ground state energy for the harmonic, cut-off and anharmonic oscillators with a ground state wave function for a one-body Hamiltonian in three dimensions.

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