scholarly journals A PERTURBATIVE TREATMENT OF A GENERALIZED $\mathcal{PT}$-SYMMETRIC QUARTIC ANHARMONIC OSCILLATOR

2005 ◽  
Vol 20 (39) ◽  
pp. 3013-3023 ◽  
Author(s):  
ABHIJIT BANERJEE
Keyword(s):  
Symmetric Operator ◽  
Anharmonic Oscillator ◽  
Oscillator Model ◽  
Physical Variables ◽  
Perturbative Treatment

We examine a generalized [Formula: see text]-symmetric quartic anharmonic oscillator model to determine the various physical variables perturbatively in powers of a small quantity ε. We make use of the Bender–Dunne operator basis elements and exploit the properties of the totally symmetric operator Tm,n.

VARIATIONAL RANDOM PHASE APPROXIMATION FOR THE ANHARMONIC OSCILLATOR

1991 ◽  
Vol 06 (26) ◽  
pp. 2429-2435 ◽  
Author(s):  
J. DUKELSKY ◽  
P. SCHUCK
Keyword(s):  
Wave Function ◽  
Density Matrix ◽  
Ground State ◽  
Random Phase Approximation ◽  
Anharmonic Oscillator ◽  
Random Phase ◽  
Oscillator Model ◽  
Phase Approximation ◽  
Truncation Scheme

The recently derived Variational Random Phase Approximation is examined using the anharmonoic oscillator model. Special attention is paid to the ground state RPA wave function and the convergence of the proposed truncation scheme to obtain the diagonal density matrix.

Anharmonic oscillator model of overtone spectra for D3h symmetry molecules

2010 ◽  
Vol 9 (4) ◽  
pp. 289-296
Author(s):  
Yi-Fei Wang ◽  
Ying-Qiu Liang ◽  
Ao-Qing Tang
Keyword(s):  
Anharmonic Oscillator ◽  
Oscillator Model

Symmetry conserving expansion and extended Holstein–Primakoff mapping for anharmonic oscillator model

2005 ◽  
Vol 748 (3-4) ◽  
pp. 551-572
Author(s):  
Alan Dzhioev ◽  
J. Wambach ◽  
A. Vdovin ◽  
Z. Aouissat
Keyword(s):  
Anharmonic Oscillator ◽  
Oscillator Model
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