Weak-Coupling Expansion for the Ground-State Energy of a Many-Boson System

1959 ◽  
Vol 115 (5) ◽  
pp. 1090-1094 ◽  
Author(s):  
M. Girardeau
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
Weak Coupling ◽  
State Energy ◽  
Boson System

scholarly journals Ground-state energy of thed=1,2,3 dimensional Hubbard model in the weak-coupling limit

1989 ◽  
Vol 39 (7) ◽  
pp. 4462-4466 ◽  
Author(s):  
Walter Metzner ◽  
Dieter Vollhardt
Keyword(s):  
Hubbard Model ◽  
Ground State Energy ◽  
Ground State ◽  
Weak Coupling ◽  
State Energy ◽  
Weak Coupling Limit

INFLUENCE OF LATTICE VIBRATION ON THE GROUND STATE OF MAGNETOPOLARON IN A PARABOLIC QUANTUM DOT

2010 ◽  
Vol 24 (27) ◽  
pp. 2705-2712 ◽  
Author(s):  
EERDUNCHAOLU ◽  
WEI XIN ◽  
YUWEI ZHAO
Keyword(s):  
Magnetic Field ◽  
Strong Coupling ◽  
Ground State Energy ◽  
Vibration Frequency ◽  
Ground State ◽  
Weak Coupling ◽  
State Energy ◽  
Cyclotron Frequency ◽  
Lattice Vibration ◽  
The Magnetic Field

Influence of the lattice vibration on the properties of the magnetopolaron in the parabolic quantum dots (QDs) is studied by using the Huybrechts' linear combination operator and Lee–Low–Pines (LLP) transformation methods. The expressions for the vibration frequency and the ground-state energy of the magnetopolaron as functions of the confinement strength of the QDs, the magnetic field and temperature are derived under the strong and weak coupling, respectively. The results of the numerical calculations show that the changes of the vibration frequency and ground-state energy of the magnetopolaron with the confinement strength of the QDs, the magnetic field and temperature are different under different couplings. The vibration frequency and the ground-state energy of the weak-coupling magnetopolaron and the vibration frequency of the strong-coupling magnetopolaron will increase with increase of the confinement strength of the QDs and cyclotron frequency, the vibration frequency and ground-state energy of the strong-coupling magnetopolaron. However, the ground-state energy of the weak-coupling magnetopolaron will decrease with increase of the temperature. The dependence of the ground-state energy of the strong-coupling magnetopolaron on the confinement strength of the QDs and cyclotron frequency is strongly influenced by the temperature. The remarkable influence of the temperature on the ground-state energy of the magnetopolaron arises when the temperature is relatively higher.

scholarly journals Ground-State Energy of a Bose System in the Weak Coupling Limit

1975 ◽  
Vol 54 (2) ◽  
pp. 308-315 ◽  
Author(s):  
K. Hiroike
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
Weak Coupling ◽  
State Energy ◽  
Weak Coupling Limit ◽  
Bose System

Ground state energy of a many-particle boson system

1972 ◽  
Vol 6 (6) ◽  
pp. 425-435 ◽  
Author(s):  
M. E. Grypeos
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Boson System

A Lower Bound to the Ground State Energy of a Boson System with Fermion Source

1987 ◽  
pp. 231-248 ◽  
Author(s):  
M. Rosina ◽  
B. Golli ◽  
R. M. Erdahl
Keyword(s):  
Lower Bound ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Boson System

CONTINUOUS UPPER BOUND ON THE GROUND-STATE ENERGY OF THE FRÖHLICH POLARON

1994 ◽  
Vol 08 (08n09) ◽  
pp. 553-560 ◽  
Author(s):  
A. V. SOLDATOV
Keyword(s):  
Magnetic Field ◽  
Asymptotic Behavior ◽  
Ground State Energy ◽  
Upper Bound ◽  
Ground State ◽  
Coherent States ◽  
Weak Coupling ◽  
State Energy ◽  
Coupling Parameter ◽  
Weak Coupling Limit

The upper bound on the ground-state energy for the Fröhlich polaron is derived by means of a new version of variational principle based on the Wick symbols formalism and the coherent states theory. The bound is continuous in some respect, i.e. it is valid for all values of coupling parameter including the intermediate regions. Asymptotic behavior of the bound for the weak coupling limit and for the strong coupling limit provides, in general, lower values than well-known existing bounds. The bound can be readily generalized for the case of nonzero magnetic field.

scholarly journals Ground-State Energy of a Many-Boson System: Density and Phase Operator Approach

1975 ◽  
Vol 54 (2) ◽  
pp. 384-395 ◽  
Author(s):  
T. Nishiyama
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Phase Operator ◽  
Operator Approach ◽  
Boson System

Ground-state energy of weak-coupling polarons in quantum rods

2009 ◽  
Vol 30 (7) ◽  
pp. 072002 ◽  
Author(s):  
Wang Cuitao ◽  
Xiao Jinglin ◽  
Zhao Cuilan
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
Weak Coupling ◽  
State Energy ◽  
Quantum Rods

Ground-State Energy of a One-Dimensional Many-Boson System

1969 ◽  
Vol 178 (1) ◽  
pp. 432-432 ◽  
Author(s):  
M. Bolsterli
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
One Dimensional ◽  
Boson System
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