Excited binomial states for the pseudoharmonic oscillator

2012 ◽  
Author(s):  
Duşan Popov ◽  
Nicolina Pop ◽  
Robert Maria
Keyword(s):  
Pseudoharmonic Oscillator

ALGEBRAIC APPROACH TO THE PSEUDOHARMONIC OSCILLATOR IN 2D

2002 ◽  
Vol 11 (02) ◽  
pp. 155-160 ◽  
Author(s):  
SHI-HAI DONG ◽  
ZHONG-QI MA
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Algebraic Approach ◽  
Matrix Elements ◽  
Ladder Operators ◽  
Commutation Relations ◽  
The Matrix ◽  
Pseudoharmonic Oscillator ◽  
Analytical Expressions

A realization of the ladder operators for the solutions to the Schrödinger equation with a pseudoharmonic oscillator in 2D is presented. It is shown that those operators satisfy the commutation relations of an SU(1, 1) algebra. Closed analytical expressions are evaluated for the matrix elements of some operators r2 and r∂/∂ r

EXACT QUANTIZATION RULE AND ITS APPLICATIONS TO PHYSICAL POTENTIALS

2007 ◽  
Vol 16 (01) ◽  
pp. 189-198 ◽  
Author(s):  
SHI-HAI DONG ◽  
D. MORALES ◽  
J. GARCÍA-RAVELO
Keyword(s):  
Harmonic Oscillator ◽  
Analytical Solutions ◽  
Bound States ◽  
Energy Levels ◽  
Present Approach ◽  
Three Dimensions ◽  
One Dimension ◽  
Quantization Rule ◽  
Exact Quantization Rule ◽  
Pseudoharmonic Oscillator

By using the exact quantization rule, we present analytical solutions of the Schrödinger equation for the deformed harmonic oscillator in one dimension, the Kratzer potential and pseudoharmonic oscillator in three dimensions. The energy levels of all the bound states are easily calculated from this quantization rule. The normalized wavefunctions are also obtained. It is found that the present approach can simplify the calculations.

Excitation on the Coherent States of Pseudoharmonic Oscillator

2009 ◽  
Author(s):  
Dusan Popov ◽  
Nicolina Pop ◽  
Vjekoslav Sajfert ◽  
Madalin Bunoiu ◽  
Iosif Malaescu
Keyword(s):  
Coherent States ◽  
Pseudoharmonic Oscillator

Negative binomial states for the pseudoharmonic oscillator

2013 ◽  
Vol T153 ◽  
pp. 014051 ◽  
Author(s):  
D Popov ◽  
N Pop ◽  
M Davidovic
Keyword(s):  
Negative Binomial ◽  
Pseudoharmonic Oscillator
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