Upper and Lower Bounds for the Intermediate-Coupling Polaron Ground-State Energy

1968 ◽  
Vol 172 (3) ◽  
pp. 967-971 ◽  
Author(s):  
David M. Larsen
Keyword(s):  
Lower Bounds ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Upper And Lower Bounds ◽  
Intermediate Coupling

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

The ground state energy of the polaron: An asymmetrical semi-exponential polar slab

2019 ◽  
Vol 33 (18) ◽  
pp. 1950191
Author(s):  
Xiu-Qing Wang
Keyword(s):  
Statistical Theory ◽  
Ground State Energy ◽  
Ground State ◽  
Unitary Transformation ◽  
State Energy ◽  
Intermediate Coupling ◽  
Quantum Statistical Theory ◽  
The Mean ◽  
Quantum Statistical ◽  
Phonon Number

In this work, the influence of the temperature (T) and RbCl asymmetrical semi-exponential confinement potential on intermediate coupling polaron in a polar slab was studied by applying the Lee-Low-Pines (LLP) unitary transformation and linear combination operation methods, based on the quantum statistical theory. We have derived the ground state energy (E0) and the mean phonon number (N). According to the obtained results, E0 increases with increasing T and parameter [Formula: see text], whereas it is a decaying function with raising parameter U0.

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
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