scholarly journals FOUR KINDS OF RAISING AND LOWERING-OPERATORS OF A THREE-DIMENSIONAL-ISOTROPIC HARMONIC OSCILLATOR

1997 ◽  
Vol 46 (3) ◽  
pp. 417
Author(s):  
LIU YU-FENG ◽  
ZENG JIN-YAN
Keyword(s):  
Harmonic Oscillator ◽  
Three Dimensional ◽  
Raising And Lowering Operators ◽  
Isotropic Harmonic Oscillator ◽  
Lowering Operators

scholarly journals Simple Periodic Orbits in Elliptical Galaxies Modelled by Hamiltonians in 1-1-1 Resonance

1999 ◽  
Vol 172 ◽  
pp. 411-412
Author(s):  
J. Palacián ◽  
P. Yanguas ◽  
S. Ferrer
Keyword(s):  
Dynamical System ◽  
Phase Space ◽  
Harmonic Oscillator ◽  
Periodic Orbits ◽  
Homogeneous Polynomial ◽  
Three Dimensional ◽  
Discrete Symmetry ◽  
Elliptical Galaxies ◽  
Isotropic Harmonic Oscillator

AbstractWe consider elliptical galactic models, whose dynamical system consists of a three-dimensional isotropic harmonic oscillator plus a potential given by a homogeneous polynomial of degree four with an additional discrete symmetry. We identify families of simple periodic orbits by studying the reduced phase space.

THREE-DIMENSIONAL ISOTROPIC PSEUDO-GAUSSIAN OSCILLATORS

2009 ◽  
Vol 20 (07) ◽  
pp. 1103-1111 ◽  
Author(s):  
ION I. COTĂESCU ◽  
PAUL GRĂVILĂ ◽  
MARIUS PAULESCU
Keyword(s):  
Asymptotic Behavior ◽  
Numerical Methods ◽  
Harmonic Oscillator ◽  
Energy Levels ◽  
Three Dimensional ◽  
Finite Energy ◽  
Energy Spectra ◽  
Isotropic Harmonic Oscillator ◽  
Quantum Models

A family of isotropic three-dimensional quantum models governed by isotropic pseudo-Gaussian potentials is proposed. These potentials are defined to have a Gaussian asymptotic behavior but approaching to the potential of the isotropic harmonic oscillator when x → 0. These models may have finite energy spectra with approximately equidistant energy levels that can be calculated using efficient numerical methods based on generating functionals.

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