ESR and ground state wavefunction of Cu2+in Mg(H2O)6H2EDTA

1979 ◽  
Vol 12 (4) ◽  
pp. 695-701 ◽  
Author(s):  
M Narayana ◽  
G Sivarama Sastry
Keyword(s):  
Ground State ◽  
Ground State Wavefunction

A CLASS OF CLOSED SOLUTIONS FOR THE BOGOLIUBOV EXCITATIONS ON SMOOTH GROUND STATE OF A TRAPPED BOSE–EINSTEIN CONDENSATE

2005 ◽  
Vol 19 (15) ◽  
pp. 713-720
Author(s):  
YONG-LI MA ◽  
HAICHEN ZHU
Keyword(s):  
Ground State ◽  
Einstein Condensate ◽  
Zero Energy ◽  
Ground State Wavefunction ◽  
New Class ◽  
Bose Einstein Condensate ◽  
Energy Mode ◽  
The One ◽  
Bose Einstein ◽  
Bogoliubov Excitations

Bogoliubov–de Gennes equations (BdGEs) for collective excitations from a trapped Bose–Einstein condensate described by a spatially smooth ground-state wavefunction can be treated analytically. A new class of closed solutions for the BdGEs is obtained for the one-dimensional (1D) and 3D spherically harmonic traps. The solutions of zero-energy mode of the BdGEs are also provided. The eigenfunctions of the excitations consist of zero-energy mode, zero-quantum-number mode and entire excitation modes when the approximate ground state is a background Bose gas sea.

GROUND STATE AND LOW-EXCITED STATES OF A BOSE GAS IN A FINITE ANISOTROPIC TRAP

2008 ◽  
Vol 22 (28) ◽  
pp. 5003-5014 ◽  
Author(s):  
LIANGHUI WEN ◽  
YONG-LI MA
Keyword(s):  
Ground State ◽  
Collective Excitation ◽  
Three Dimensional ◽  
Finite Amplitude ◽  
Einstein Condensate ◽  
Harmonic Potential ◽  
Excitation Spectra ◽  
Basis Expansion ◽  
Ground State Wavefunction ◽  
Bose Einstein Condensate

The motivation in this paper is to simulate numerically some properties of an interacting Bose–Einstein condensate at zero temperature in an axial symmetry trapping potential with finite amplitude for modeling the practical experimental cases. By use of the basis expansion using three-dimensional harmonic oscillator eigenfunctions, we obtain the ground-state wavefunction and the collective excitation spectra of the system in both usual harmonic potential and different amplitudes of the finite potential. After comparing our results for the finite potential with the data derived from the harmonic potential, we conclude that the finite trap in the practical experiments decreases the entire excitation frequencies in the whole regimes. This decrease is consistent with our analytic prediction qualitatively and agrees well with the experimental data quantitatively.

Sign in / Sign up

Export Citation Format

Share Document