scholarly journals LIE SYMMETRIES OF CONSTRAINED HAMILTONIAN SYSTEM WITH THE SECOND TYPE OF CONSTRAINTS 

2001 ◽  
Vol 50 (5) ◽  
pp. 816
Author(s):  
ZHANG YI ◽  
XUE YUN
Keyword(s):  
Hamiltonian System ◽  
Lie Symmetries ◽  
Constrained Hamiltonian System

Lattice dynamics shell model as a constrained Hamiltonian system

1990 ◽  
Vol 23 (4) ◽  
pp. 567-573 ◽  
Author(s):  
A Dobry ◽  
A Greco
Keyword(s):  
Hamiltonian System ◽  
Shell Model ◽  
Lattice Dynamics ◽  
Constrained Hamiltonian System

scholarly journals CANONICALIZATION OF CONSTRAINED HAMILTONIAN EQUATIONS IN A SINGULAR SYSTEM

2020 ◽  
Vol 4 (12) ◽  
pp. 107-117
Author(s):  
Shan Cao ◽  
Jing-Li Fu ◽  
Hua-Shu Dou
Keyword(s):  
Hamiltonian System ◽  
Singular System ◽  
Canonical Equation ◽  
Variable Transformation ◽  
Hamiltonian Equations ◽  
Constrained Hamiltonian System ◽  
New Variables

In this paper, the canonicalization of constrained Hamiltonian system is discussed. Because the constrained Hamiltonian equations are non-canonical, they lead to many limitations in the research. For this purpose, variable transformation is constructed that satisfies the condition of canonical equation, and the new variables can be obtained by a series of derivations. Finally, two examples are given to illustrate the applications of the result.

Alternative formulation in the constrained Hamiltonian system of a rigid rotator

1990 ◽  
Vol 48 (1) ◽  
pp. 105-108 ◽  
Author(s):  
T. Homma ◽  
T. Inamoto ◽  
T. Miyazaki
Keyword(s):  
Hamiltonian System ◽  
Alternative Formulation ◽  
Rigid Rotator ◽  
Constrained Hamiltonian System

scholarly journals REMARKS ON GENERALIZED UNCERTAINTY PRINCIPLE INDUCED FROM CONSTRAINT SYSTEM

2014 ◽  
Vol 29 (01) ◽  
pp. 1450002 ◽  
Author(s):  
MYUNGSEOK EUNE ◽  
WONTAE KIM
Keyword(s):  
Hamiltonian System ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Poisson Algebra ◽  
Minimal Length ◽  
Constraint System ◽  
Commutation Relations ◽  
Constrained Hamiltonian System ◽  
Dirac Brackets

The extended commutation relations for generalized uncertainty principle (GUP) have been based on the assumption of the minimal length in position. Instead of this assumption, we start with a constrained Hamiltonian system described by the conventional Poisson algebra and then impose appropriate second class constraints to this system. Consequently, we can show that the consistent Dirac brackets for this system are nothing, but the extended commutation relations describing the GUP.

scholarly journals Comment on “Hyperchaos in constrained Hamiltonian system and its control” by J. Li, H. Wu and F. Mei

2020 ◽  
Vol 101 (1) ◽  
pp. 639-654
Author(s):  
Wojciech Szumiński ◽  
Maria Przybylska ◽  
Andrzej J. Maciejewski
Keyword(s):  
Hamiltonian System ◽  
Constrained Hamiltonian System
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