PATH INTEGRAL DERIVATION OF THE GROUND STATE ENERGY OF THE INTERACTING PARTICLES IN A HARMONIC TRAP

2003 ◽  
Vol 17 (31n32) ◽  
pp. 5983-5989
Author(s):  
KOBCHAI TAYANASANTI ◽  
VIRULH SA-YAKANIT
Keyword(s):  
Density Matrix ◽  
Path Integral ◽  
Ground State Energy ◽  
Ground State ◽  
Path Integration ◽  
State Energy ◽  
Bose Gas ◽  
Pitaevskii Equation ◽  
Interacting Particles ◽  
Analytical Result

We show within the framework of Variational Path Integration that the density matrix and the ground state energy of the trapped Bose gas can be obtained in a simple way and it is in agreement with the result obtained by the variational Gross–Pitaevskii equation. The advantage of this method is the analytical result can be found for various forms of interaction between particles.

scholarly journals Ground-state energy of a low-density Bose gas: A second-order upper bound

2008 ◽  
Vol 78 (5) ◽  
Author(s):  
László Erdős ◽  
Benjamin Schlein ◽  
Horng-Tzer Yau
Keyword(s):  
Ground State Energy ◽  
Upper Bound ◽  
Ground State ◽  
State Energy ◽  
Bose Gas ◽  
Second Order ◽  
Low Density

scholarly journals Ground State Energy of the Low Density Bose Gas

1998 ◽  
Vol 80 (12) ◽  
pp. 2504-2507 ◽  
Author(s):  
Elliott H. Lieb ◽  
Jakob Yngvason
Keyword(s):  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Bose Gas ◽  
Low Density
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