In this paper, the definition of three-order form invariance is given. Then the relation between the three-order form invariance and the three-order Lie symmetry is discussed and the sufficient and necessary condition...In this paper, the definition of three-order form invariance is given. Then the relation between the three-order form invariance and the three-order Lie symmetry is discussed and the sufficient and necessary condition of Lie symmetry, which comes from the three-order form invariance, is obtained. Finally a three-order Hojman conserved quantity is studied and an example is given to illustrate the application of the obtained results.展开更多
Because Elsevier takes care of JNGC＇s international institutional print subscriptions beginning from 2006,please visit the following website of Elsevier for the international Institutional orders.
Because Elsevier takes care of JNGC’s international institutional print subscriptions beginning from 2006,please visit the following website of Elsevier for the international Institutional orders.http://www.elsevier....Because Elsevier takes care of JNGC’s international institutional print subscriptions beginning from 2006,please visit the following website of Elsevier for the international Institutional orders.http://www.elsevier.com/locate/jngc展开更多
Annual subscription rate: Businesses and research institutes: US $400.00 for overseas/ RMB 400.00 for Chinese Individuals: US $240.00 for overseas/ RMB 240.00 for Chinese Please subscribe me to the Journal (starting i...Annual subscription rate: Businesses and research institutes: US $400.00 for overseas/ RMB 400.00 for Chinese Individuals: US $240.00 for overseas/ RMB 240.00 for Chinese Please subscribe me to the Journal (starting in 2002): Number of years: Total amount: US $ RMB展开更多
Using the normally ordered Gaussian form of the Wigner operator we recapitulate the quantum phase space representation, we derive a new formula for searching for the classical correspondence of quantum mechanical oper...Using the normally ordered Gaussian form of the Wigner operator we recapitulate the quantum phase space representation, we derive a new formula for searching for the classical correspondence of quantum mechanical operators; we also show that if there exists the eigenvector ｜q〉λ,v of linear combination of the coordinate and momentum operator, （λQ ＋ vP）, where λ,v are real numbers, and ｜q〉λv is complete, then the projector ｜q〉λ,vλ,v〈q｜ must be the Radon transform of Wigner operator. This approach seems concise and physical appealing.展开更多
Normal form theory is a very effective method when we study degenerate bifurcations of nonlinear dynamical systems. In this paper by using adjoint operator method, normal forms of order 3 and 4 for nonlinear dynamical...Normal form theory is a very effective method when we study degenerate bifurcations of nonlinear dynamical systems. In this paper by using adjoint operator method, normal forms of order 3 and 4 for nonlinear dynamical system with nilpotent linear part and Z(2)-asymmetry are computed. According to normal forms obtained, universal unfoldings for some degenerate bifurcation cases of codimension 3 and simple global characterizations, are studied.展开更多
文摘In this paper, the definition of three-order form invariance is given. Then the relation between the three-order form invariance and the three-order Lie symmetry is discussed and the sufficient and necessary condition of Lie symmetry, which comes from the three-order form invariance, is obtained. Finally a three-order Hojman conserved quantity is studied and an example is given to illustrate the application of the obtained results.
文摘Because Elsevier takes care of JNGC＇s international institutional print subscriptions beginning from 2006,please visit the following website of Elsevier for the international Institutional orders.
文摘Because Elsevier takes care of JNGC’s international institutional print subscriptions beginning from 2006,please visit the following website of Elsevier for the international Institutional orders.http://www.elsevier.com/locate/jngc
文摘Annual subscription rate: Businesses and research institutes: US $400.00 for overseas/ RMB 400.00 for Chinese Individuals: US $240.00 for overseas/ RMB 240.00 for Chinese Please subscribe me to the Journal (starting in 2002): Number of years: Total amount: US $ RMB
基金Supported by National Natural Science Foundation of China under Grant Nos. 10874174 and 10775097
文摘Using the normally ordered Gaussian form of the Wigner operator we recapitulate the quantum phase space representation, we derive a new formula for searching for the classical correspondence of quantum mechanical operators; we also show that if there exists the eigenvector ｜q〉λ,v of linear combination of the coordinate and momentum operator, （λQ ＋ vP）, where λ,v are real numbers, and ｜q〉λv is complete, then the projector ｜q〉λ,vλ,v〈q｜ must be the Radon transform of Wigner operator. This approach seems concise and physical appealing.
文摘Normal form theory is a very effective method when we study degenerate bifurcations of nonlinear dynamical systems. In this paper by using adjoint operator method, normal forms of order 3 and 4 for nonlinear dynamical system with nilpotent linear part and Z(2)-asymmetry are computed. According to normal forms obtained, universal unfoldings for some degenerate bifurcation cases of codimension 3 and simple global characterizations, are studied.
