Generalized dynamics of a spherical harmonic oscillator

2021 ◽  
Author(s):  
Eugene Oks
Keyword(s):  
Harmonic Oscillator ◽  
Spherical Harmonic

scholarly journals Exact solution of a kind of n-dimensions non-spherical harmonic oscillator p otential

2003 ◽  
Vol 52 (8) ◽  
pp. 1858
Author(s):  
Long Chao-Yun ◽  
Chen Ming-Lun ◽  
Cai Shao-Hong
Keyword(s):  
Exact Solution ◽  
Harmonic Oscillator ◽  
Spherical Harmonic

Pseudospin symmetry and a double ring-shaped spherical harmonic oscillator potential

Open Physics ◽  
2009 ◽  
Vol 7 (4) ◽  
Author(s):  
Min-Cang Zhang
Keyword(s):  
Harmonic Oscillator ◽  
Spherical Harmonic ◽  
Energy Equation ◽  
Pseudospin Symmetry ◽  
Spinor Wave Function ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Double Ring ◽  
Vector Potentials ◽  
Spinor Wave

AbstractA new double ring-shaped spherical harmonic oscillator potential is presented. The pseudospin symmetry in this system is investigated by solving the Dirac equation with equal mixture of scalar and vector potentials with opposite signs. The normalized spinor wave function and energy equation are obtained and some particular cases are discussed.

ON THE DAMPING OF THE ANGULAR MOMENTUM OF A SPHERICAL HARMONIC OSCILLATOR AS A MODEL FOR HEAVY ION COLLISIONS

1990 ◽  
Vol 05 (09) ◽  
pp. 1773-1787 ◽  
Author(s):  
A. ISAR ◽  
A. SANDULESCU ◽  
W. SCHEID
Keyword(s):  
Angular Momentum ◽  
Harmonic Oscillator ◽  
Spherical Harmonic ◽  
Heavy Ion Collisions ◽  
Open Quantum Systems ◽  
Heavy Ion ◽  
Quantum Systems ◽  
Open Quantum ◽  
Ion Collisions ◽  
Explicit Expressions

In the frame of the Lindblad theory of open quantum systems, the spherical harmonic oscillator with opening operators linear in the coordinates and the momenta of the considered system is analyzed. Explicit expressions for the damping of the energy, angular momentum and its projection, including the coupling of the harmonic oscillator due to the environment, are obtained.

On Markovian Limit in Quantum Open Systems

2002 ◽  
Vol 09 (01) ◽  
pp. 1-18 ◽  
Author(s):  
Andrzej Kossakowski
Keyword(s):  
Harmonic Oscillator ◽  
Correlation Functions ◽  
Spherical Harmonic ◽  
Open Systems ◽  
Time Correlation ◽  
Time Correlation Functions ◽  
Coupling Constant ◽  
Quantum Open Systems ◽  
Higher Order Corrections ◽  
Markovian Limit

The dynamics of spherical harmonic oscillator interacting with radiation field is investigated. It is shown that the irreversibility of time evolution is due to the appearance of resonances. Reduced dynamics is given in terms of multi-time correlation functions in the Markovian limit, which includes higher order corrections in the coupling constant.

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