Spin-Orbit Doublet Separation inO17Using Hard-Core Harmonic-Oscillator Wave Functions

1968 ◽  
Vol 167 (4) ◽  
pp. 996-1012 ◽  
Author(s):  
W. K. Niblack ◽  
B. P. Nigam
Keyword(s):  
Harmonic Oscillator ◽  
Hard Core ◽  
Wave Functions ◽  
Spin Orbit

SPIN-ORBIT SPLITTING AMONG CERTAIN LIGHT NUCLEI DUE TO THE TWO-BODY SPIN-ORBIT POTENTIAL

1963 ◽  
Vol 41 (12) ◽  
pp. 2187-2201 ◽  
Author(s):  
P. D. Kunz
Keyword(s):  
Harmonic Oscillator ◽  
Hard Core ◽  
Wave Functions ◽  
Light Nuclei ◽  
Spin Orbit ◽  
Core Radius ◽  
Orbit Splitting ◽  
Spin Orbit Splitting ◽  
Orbit Potential ◽  
Oscillator Function

The separation of doublet levels in the mass 5, 6, 14, 15, and 17 systems is calculated from recent semiphenomenological potentials. Shell-model harmonic-oscillator functions are used to represent the nucleons. These wave functions are modified by means of correlation functions which vanish whenever any two nucleons approach closer than the hard-core radius and approach the unmodified oscillator function for large nucleon separations. It is found that the two-body spin-orbit potentials give 50 to 70% of the experimentally observed splittings.

Methods of establishing the asymptotic behavior of the harmonic oscillator wave functions

1980 ◽  
Vol 48 (4) ◽  
pp. 307-307 ◽  
Author(s):  
Marshall Bowen ◽  
Joseph Coster
Keyword(s):  
Asymptotic Behavior ◽  
Harmonic Oscillator ◽  
Wave Functions

Exact wave functions of a harmonic oscillator with time-dependent mass and frequency

1997 ◽  
Vol 55 (4) ◽  
pp. 3219-3221 ◽  
Author(s):  
I. A. Pedrosa
Keyword(s):  
Harmonic Oscillator ◽  
Wave Functions ◽  
Time Dependent ◽  
Dependent Mass

scholarly journals IS IT POSSIBLE TO CONSTRUCT THE PROTON STRUCTURE FUNCTION BY LORENTZ-BOOSTING THE STATIC QUARK-MODEL WAVE FUNCTION?

2004 ◽  
Vol 19 (31) ◽  
pp. 5435-5442 ◽  
Author(s):  
Y. S. KIM ◽  
MARILYN E. NOZ
Keyword(s):  
Wave Function ◽  
Harmonic Oscillator ◽  
Structure Function ◽  
Parton Distribution ◽  
Wave Functions ◽  
Proton Structure Function ◽  
Proton Structure ◽  
Static Quark ◽  
Momentum Relation ◽  
Good Agreement

The energy-momentum relations for massive and massless particles are E=p2/2m and E=pc respectively. According to Einstein, these two different expressions come from the same formula [Formula: see text]. Quarks and partons are believed to be the same particles, but they have quite different properties. Are they two different manifestations of the same covariant entity as in the case of Einstein's energy-momentum relation? The answer to this question is YES. It is possible to construct harmonic oscillator wave functions which can be Lorentz-boosted. They describe quarks bound together inside hadrons. When they are boosted to an infinite-momentum frame, these wave functions exhibit all the peculiar properties of Feynman's parton picture. This formalism leads to a parton distribution corresponding to the valence quarks, with a good agreement with the experimentally observed distribution.

ENERGY-DEPENDENT POTENTIAL AND NORMALIZATION OF WAVE FUNCTION

2013 ◽  
Vol 28 (18) ◽  
pp. 1350079 ◽  
Author(s):  
A. BENCHIKHA ◽  
L. CHETOUANI
Keyword(s):  
Wave Function ◽  
Hydrogen Atom ◽  
Harmonic Oscillator ◽  
Path Integral ◽  
Spectral Decomposition ◽  
Wave Functions ◽  
Integral Approach ◽  
Path Integral Approach ◽  
Dependent Potential ◽  
Energy Dependent

The problem of normalization related to energy-dependent potentials is examined in the context of the path integral approach, and a justification is given. As examples, the harmonic oscillator and the hydrogen atom (radial) where, respectively the frequency and the Coulomb's constant depend on energy, are considered and their propagators determined. From their spectral decomposition, we have found that the wave functions extracted are correctly normalized.

Comment on “Wave functions of a time-dependent harmonic oscillator in a static magnetic field”

2006 ◽  
Vol 73 (1) ◽  
Author(s):  
M. Maamache ◽  
A. Bounames ◽  
N. Ferkous
Keyword(s):  
Magnetic Field ◽  
Harmonic Oscillator ◽  
Static Magnetic Field ◽  
Wave Functions ◽  
Time Dependent
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