Exact solution of the Faddeev equations for the harmonic oscillator ground state

1980 ◽  
Vol 22 (1) ◽  
pp. 284-286 ◽  
Author(s):  
J. L. Friar ◽  
B. F. Gibson ◽  
G. L. Payne
Keyword(s):  
Exact Solution ◽  
Harmonic Oscillator ◽  
Ground State ◽  
Faddeev Equations

Exact solution of the Faddeev equations for the harmonic oscillator

1992 ◽  
Vol 45 (4) ◽  
pp. 1458-1462 ◽  
Author(s):  
Nir Barnea ◽  
Victor B. Mandelzweig
Keyword(s):  
Exact Solution ◽  
Harmonic Oscillator ◽  
Faddeev Equations

scholarly journals Exact solution of a kind of n-dimensions non-spherical harmonic oscillator p otential

2003 ◽  
Vol 52 (8) ◽  
pp. 1858
Author(s):  
Long Chao-Yun ◽  
Chen Ming-Lun ◽  
Cai Shao-Hong
Keyword(s):  
Exact Solution ◽  
Harmonic Oscillator ◽  
Spherical Harmonic

GROUND STATE OF N HARMONICALLY BOUND ANYONS IN A MAGNETIC FIELD

1992 ◽  
Vol 07 (38) ◽  
pp. 3593-3600
Author(s):  
R. CHITRA
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Harmonic Oscillator ◽  
Ground State ◽  
Harmonic Frequency ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Thomas Fermi ◽  
Large N ◽  
The Magnetic Field

The properties of the ground state of N anyons in an external magnetic field and a harmonic oscillator potential are computed in the large-N limit using the Thomas-Fermi approximation. The number of level crossings in the ground state as a function of the harmonic frequency, the strength and the direction of the magnetic field and N are also studied.

Spiked Harmonic Oscillator: N-1 Expansion

2003 ◽  
Vol 17 (14) ◽  
pp. 2761-2772
Author(s):  
S. Datta ◽  
J. K. Bhattacharjee
Keyword(s):  
Harmonic Oscillator ◽  
Ground State ◽  
Numerical Procedure ◽  
Set Up ◽  
Dimensionality Of Space

The ground state of the spiked harmonic oscillator with the potential [Formula: see text] has been obtained variationally for α < 3 and recently by a numerical procedure for α > 3. Due to the Klauder phenomemon at α = 3, analytic techniques do not smoothly interpolate between α < 3 and α > 3. Here we use the N-1 expansion, where N is the dimensionality of space, to set up an analytic scheme that can be continued across α = 3.

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