scholarly journals Global Dynamics below the Ground State Energy for the Klein-Gordon-Zakharov System in the 3D Radial Case

2014 ◽  
Vol 39 (6) ◽  
pp. 1158-1184 ◽  
Author(s):  
Zihua Guo ◽  
Kenji Nakanishi ◽  
Shuxia Wang
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Global Dynamics ◽  
Zakharov System ◽  
Radial Case ◽  
Klein Gordon

scholarly journals Global dynamics of the nonradial energy-critical wave equation above the ground state energy

2013 ◽  
Vol 33 (6) ◽  
pp. 2423-2450 ◽  
Author(s):  
Joachim Krieger ◽  
◽  
Kenji Nakanishi ◽  
Wilhelm Schlag ◽  
◽  
...  
Keyword(s):  
Wave Equation ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Global Dynamics

scholarly journals Klein–Gordon lower bound to the semirelativistic ground-state energy

2010 ◽  
Vol 374 (19-20) ◽  
pp. 1980-1984 ◽  
Author(s):  
Richard L. Hall ◽  
Wolfgang Lucha
Keyword(s):  
Lower Bound ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Klein Gordon

The ground state energy of the ±J spin glass from the genetic algorithm

1994 ◽  
Vol 4 (9) ◽  
pp. 1281-1285 ◽  
Author(s):  
P. Sutton ◽  
D. L. Hunter ◽  
N. Jan
Keyword(s):  
Genetic Algorithm ◽  
Spin Glass ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy

POLARON IN A QUANTUM DOT UNDER AN ELECTRIC FIELD

2007 ◽  
Vol 21 (24) ◽  
pp. 1635-1642
Author(s):  
MIAN LIU ◽  
WENDONG MA ◽  
ZIJUN LI
Keyword(s):  
Quantum Dot ◽  
Electric Field ◽  
Field Intensity ◽  
Ground State Energy ◽  
Ground State ◽  
Electric Field Intensity ◽  
State Energy ◽  
Theoretical Study ◽  
The Moment ◽  
Transformation Methods

We conducted a theoretical study on the properties of a polaron with electron-LO phonon strong-coupling in a cylindrical quantum dot under an electric field using linear combination operator and unitary transformation methods. The changing relations between the ground state energy of the polaron in the quantum dot and the electric field intensity, restricted intensity, and cylindrical height were derived. The numerical results show that the polar of the quantum dot is enlarged with increasing restricted intensity and decreasing cylindrical height, and with cylindrical height at 0 ~ 5 nm , the polar of the quantum dot is strongest. The ground state energy decreases with increasing electric field intensity, and at the moment of just adding electric field, quantum polarization is strongest.

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