Linear extensions of dynamical systems on a torus and Green's functions

1990 ◽  
Vol 42 (9) ◽  
pp. 1083-1089
Author(s):  
A. M. Samoilenko ◽  
V. L. Kulik
Keyword(s):  
Dynamical Systems ◽  
Green's Functions ◽  
Green’S Functions ◽  
Linear Extensions

scholarly journals A PROPOSAL FOR A GENERALIZED CANONICAL osp(1, 2) QUANTIZATION OF DYNAMICAL SYSTEMS WITH CONSTRAINTS

1999 ◽  
Vol 14 (08n09) ◽  
pp. 569-574
Author(s):  
PETR M. LAVROV ◽  
JORGE ANANIAS NETO ◽  
WILSON OLIVEIRA
Keyword(s):  
Dynamical Systems ◽  
Green's Functions ◽  
Green’S Functions ◽  
Canonical Quantization ◽  
Quantization Method ◽  
Ward Identities ◽  
Gauge Dependence ◽  
S Matrix

The aim of this letter is to consider the possibility of constructing a generalized canonical quantization method for arbitrary dynamical systems with first-class constraints based on the osp (1, 2) supersymmetry principle. This proposal can be considered as a counterpart to the osp (1, 2)-covariant Lagrangian quantization method introduced recently by Geyer, Lavrov and Mülsch. The gauge dependence of Green's functions is studied. It is shown that if the parameter m2 of the osp (1, 2) superalgebra is not equal to zero, then the vacuum functional and S-matrix depend on the gauge. In the limit m→0 the gauge independence of vacuum functional and S-matrix are restored. The Ward identities related to the osp (1, 2) symmetry are derived.

Temperature field evaluation of a two-dimensional partial heat flow problem through Green's Functions

2019 ◽  
Author(s):  
Guilherme Ramalho Costa ◽  
José Aguiar santos junior ◽  
José Ricardo Ferreira Oliveira ◽  
Jefferson Gomes do Nascimento ◽  
Gilmar Guimaraes
Keyword(s):  
Temperature Field ◽  
Heat Flow ◽  
Green's Functions ◽  
Flow Problem ◽  
Green’S Functions ◽  
Field Evaluation ◽  
Two Dimensional
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