constrained hamiltonian system
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2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Evgeny Ivanov ◽  
Luca Mezincescu

Abstract We analyze the global symmetries of $$ \mathcal{N} $$ N = 4 supersymmetric mechanics in- volving 4n-dimensional Quaternion-Kähler (QK) 1D sigma models on projective spaces ℍHn and ℍPn as the bosonic core. All Noether charges associated with global worldline symmetries are shown to vanish as a result of equations of motion, which implies that we deal with a severely constrained hamiltonian system. The complete hamiltonian analysis of the bosonic sector is performed.



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


Author(s):  
Shan Cao ◽  
Jing-Li Fu ◽  
Hua-Shu Dou

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.



2018 ◽  
Vol 94 (3) ◽  
pp. 1703-1720 ◽  
Author(s):  
Junhong Li ◽  
Huibin Wu ◽  
Fengxiang Mei


2018 ◽  
Vol 92 (4) ◽  
pp. 1947-1954
Author(s):  
Shan Cao ◽  
Jing-Li Fu


2014 ◽  
Vol 29 (01) ◽  
pp. 1450003
Author(s):  
SEN HU ◽  
ZHI HU

In this paper, we investigate the classical and quantum aspects of five-dimensional Chern–Simons theory. As a constrained Hamiltonian system we compute the Dirac brackets among the canonical variables for the Abelian case. In terms of the Batalin–Vilkovisky formalism, we show that the classical master equation leads to new algebraic constraints on the Lie algebra. Finally, partition function and geometric quantization of the theory have been also discussed.



2014 ◽  
Vol 29 (01) ◽  
pp. 1450002 ◽  
Author(s):  
MYUNGSEOK EUNE ◽  
WONTAE KIM

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.





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