scholarly journals Hamiltonian flow over deformations of ordinary double points

2007 ◽  
Vol 333 (1) ◽  
pp. 24-41 ◽  
Author(s):  
Takao Akahori ◽  
Peter M. Garfield
Keyword(s):  
Hamiltonian Flow ◽  
Double Points

scholarly journals On factorial double solids with simple double points

2007 ◽  
Vol 208 (1) ◽  
pp. 361-369 ◽  
Author(s):  
Kyusik Hong ◽  
Jihun Park
Keyword(s):  
Double Points

The Double Points of Mathieu's Differential Equation

1969 ◽  
Vol 23 (105) ◽  
pp. 97 ◽  
Author(s):  
G. Blanch ◽  
D. S. Clemm
Keyword(s):  
Differential Equation ◽  
Double Points

scholarly journals The Lusternik–Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles

2016 ◽  
Vol 08 (03) ◽  
pp. 545-570 ◽  
Author(s):  
Luca Asselle ◽  
Gabriele Benedetti
Keyword(s):  
Periodic Orbits ◽  
Hamiltonian Systems ◽  
Symplectic Form ◽  
Critical Value ◽  
Closed Manifold ◽  
Hamiltonian Flow ◽  
Cotangent Bundles ◽  
Almost All

Let [Formula: see text] be a closed manifold and consider the Hamiltonian flow associated to an autonomous Tonelli Hamiltonian [Formula: see text] and a twisted symplectic form. In this paper we study the existence of contractible periodic orbits for such a flow. Our main result asserts that if [Formula: see text] is not aspherical, then contractible periodic orbits exist for almost all energies above the maximum critical value of [Formula: see text].

THE GENERALIZED GEOMETRIC UNCERTAINTY PRINCIPLE FOR SPIN 1/2 SYSTEM`

2021 ◽  
Vol 10 (9) ◽  
pp. 3253-3262
Author(s):  
H. Umair ◽  
H. Zainuddin ◽  
K.T. Chan ◽  
Sh.K. Said Husein
Keyword(s):  
Uncertainty Principle ◽  
Symplectic Form ◽  
Uncertainty Relation ◽  
Riemannian Metric ◽  
Hamiltonian Flow ◽  
Geometric Uncertainty ◽  
Projective Hilbert Space ◽  
Space Dynamics ◽  
Geometric Quantum Mechanics ◽  
Complex Projective

Geometric Quantum Mechanics is a version of quantum theory that has been formulated in terms of Hamiltonian phase-space dynamics. The states in this framework belong to points in complex projective Hilbert space, the observables are real valued functions on the space, and the Hamiltonian flow is described by the Schr{\"o}dinger equation. Besides, one has demonstrated that the stronger version of the uncertainty relation, namely the Robertson-Schr{\"o}dinger uncertainty relation, may be stated using symplectic form and Riemannian metric. In this research, the generalized Robertson-Schr{\"o}dinger uncertainty principle for spin $\frac{1}{2}$ system has been constructed by considering the operators corresponding to arbitrary direction.

scholarly journals Simulated and measured soil wetting patterns for overlap zone under double points sources of drip irrigation

2011 ◽  
Vol 10 (63) ◽  
pp. 13744-13755 ◽  
Author(s):  
Shan Yuyang ◽  
Wang Quanjiu ◽  
Wang Chunxia
Keyword(s):  
Drip Irrigation ◽  
Double Points ◽  
Soil Wetting
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