scholarly journals Families of classical subgroup separable superintegrable systems

2010 ◽  
Vol 43 (9) ◽  
pp. 092001 ◽  
Author(s):  
E G Kalnins ◽  
J M Kress ◽  
W Miller
Keyword(s):  
Superintegrable Systems

Superintegrable Systems with Arbitrary Spin

2013 ◽  
Vol 58 (11) ◽  
pp. 1046-1054 ◽  
Author(s):  
A.G. Nikitin ◽  
Keyword(s):  
Arbitrary Spin ◽  
Superintegrable Systems

Nambu-Poisson dynamics of superintegrable systems

2007 ◽  
Vol 70 (3) ◽  
pp. 567-571 ◽  
Author(s):  
N. Makhaldiani
Keyword(s):  
Superintegrable Systems

scholarly journals Integrable and Superintegrable Systems with Higher Order Integrals of Motion: Master Function Formalism

2018 ◽  
Vol 2018 ◽  
pp. 1-7
Author(s):  
Z. Alizadeh ◽  
H. Panahi
Keyword(s):  
Quantum Mechanics ◽  
Higher Order ◽  
Supersymmetric Quantum Mechanics ◽  
Two Dimensional ◽  
Integrals Of Motion ◽  
Function Formalism ◽  
Superintegrable Systems ◽  
Master Function

We construct two-dimensional integrable and superintegrable systems in terms of the master function formalism and relate them to Mielnik’s and Marquette’s construction in supersymmetric quantum mechanics. For two different cases of the master functions, we obtain two different two-dimensional superintegrable systems with higher order integrals of motion.

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