A New Approach on Wave Function and Energy Level Calculation Through Perturbation Theory

1998 ◽  
Vol 67 (9) ◽  
pp. 3044-3049 ◽  
Author(s):  
Biswanath Rath
Keyword(s):  
Wave Function ◽  
Perturbation Theory ◽  
Energy Level ◽  
New Approach ◽  
Level Calculation

scholarly journals Energy and Wave function Analysis on Harmonic Oscillator Under Simultaneous Non-Hermitian Transformations of Co-ordinate and Momentum: Iso-spectral case

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 492-497
Author(s):  
Biswanath Rath ◽  
P. Mallick
Keyword(s):  
Wave Function ◽  
Perturbation Theory ◽  
Harmonic Oscillator ◽  
Function Analysis ◽  
Energy Eigenvalue ◽  
Algebraic Approach ◽  
Wave Function Analysis ◽  
Wavefunction Analysis

AbstractWe present a complete energy and wavefunction analysis of a Harmonic oscillator with simultaneous non-hermitian transformations of co-ordinate $(x \rightarrow \frac{(x + i\lambda p)}{\sqrt{(1+\beta \lambda)}})$ and momentum $(p \rightarrow \frac {(p+i\beta x)}{\sqrt{(1+\beta \lambda)}})$ using perturbation theory under iso-spectral conditions. We observe that two different frequencies of oscillation (w1, w2)correspond to the same energy eigenvalue, - which can also be verified using a Lie algebraic approach.

scholarly journals INTEGRAL TRANSFORM TECHNIQUE FOR MESON WAVE FUNCTIONS

1996 ◽  
Vol 11 (20) ◽  
pp. 1611-1626 ◽  
Author(s):  
A.P. BAKULEV ◽  
S.V. MIKHAILOV
Keyword(s):  
Wave Function ◽  
Sum Rules ◽  
Integral Transform ◽  
Wave Functions ◽  
Sum Rule ◽  
New Approach ◽  
Exactly Solvable ◽  
The Stability ◽  
The Masses ◽  
Integral Transform Technique

In a recent paper1 we have proposed a new approach for extracting the wave function of the π-meson φπ(x) and the masses and wave functions of its first resonances from the new QCD sum rules for nondiagonal correlators obtained in Ref. 2. Here, we test our approach using an exactly solvable toy model as illustration. We demonstrate the validity of the method and suggest a pure algebraic procedure for extracting the masses and wave functions relating to the case under investigation. We also explore the stability of the procedure under perturbations of the theoretical part of the sum rule. In application to the pion case, this results not only in the mass and wave function of the first resonance (π′), but also in the estimation of π″-mass.

Perturbation Theory with Sommerfeld-Maue Wave Function

1954 ◽  
Vol 94 (5) ◽  
pp. 1402-1403 ◽  
Author(s):  
G. K. Horton ◽  
E. Phibbs
Keyword(s):  
Wave Function ◽  
Perturbation Theory

New Approach to Perturbation Theory.

1979 ◽  
Vol 43 (2) ◽  
pp. 176-176 ◽  
Author(s):  
Y. Aharonov ◽  
C. K. Au
Keyword(s):  
Perturbation Theory ◽  
New Approach

The problem of energy level investigation of hydrogen-like atoms in higher orders of perturbation theory

2005 ◽  
Author(s):  
N. A. Boikova ◽  
N. E. N'unko ◽  
S. V. Kleschevskaya ◽  
Yu. N. Tukhtyaev
Keyword(s):  
Perturbation Theory ◽  
Energy Level
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