Time‐dependent dynamical symmetry mappings and associated constants of motion for classical particle systems. II

1977 ◽  
Vol 18 (3) ◽  
pp. 424-431 ◽  
Author(s):  
Gerald H. Katzin ◽  
Jack Levine ◽  
Robert N. Sane
Keyword(s):  
Dynamical Symmetry ◽  
Particle Systems ◽  
Time Dependent ◽  
Classical Particle ◽  
Constants Of Motion

The pseudo Hermitian invariant operator and time-dependent non-Hermitian Hamiltonian exhibiting a SU(1,1) and SU(2) dynamical symmetry

2018 ◽  
Vol 59 (7) ◽  
pp. 072103 ◽  
Author(s):  
Walid Koussa ◽  
Naima Mana ◽  
Oum Kaltoum Djeghiour ◽  
Mustapha Maamache
Keyword(s):  
Dynamical Symmetry ◽  
Invariant Operator ◽  
Time Dependent

scholarly journals On a direct method for the determination of an exact invariant for the time-dependent harmonic oscillator

1977 ◽  
Vol 20 (1) ◽  
pp. 97-105 ◽  
Author(s):  
P. G. L. Leach
Keyword(s):  
Direct Method ◽  
Dynamical Symmetry ◽  
Time Dependent ◽  
Symmetry Groups ◽  
New Approach ◽  
One Dimensional ◽  
The One ◽  
A Direct Method ◽  
Exact Invariant

AbstractAn exact invariant is found for the one-dimensional oscillator with equation of motion . The method used is that of linear canonical transformations with time-dependent coeffcients. This is a new approach to the problem and has the advantage of simplicity. When f(t) and g(t) are zero, the invariant is related to the well-known Lewis invariant. The significance of extension to higher dimension of these results is indicated, in particular for the existence of non-invariance dynamical symmetry groups.

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