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File: Symmetry 12 01009
S S symmetry Article CanonicalTransformationofPotentialModel HamiltonianMechanicstoGeometricalFormI Yosef Strauss 1, Lawrence P. Horwitz 1,2,3,4, Jacob Levitan 2 and Asher Yahalom 5,6,* 1 DepartmentofMathematics,BenGurionUniversityoftheNegev,Be’erSheva84105 ...

icon picture PDF Filetype PDF | Posted on 28 Jan 2023 | 2 years ago

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...S symmetry article canonicaltransformationofpotentialmodel hamiltonianmechanicstogeometricalformi yosef strauss lawrence p horwitz jacob levitan and asher yahalom departmentofmathematics bengurionuniversityofthenegev be ersheva israel yossefst ariel ac il y larry tauex tau l h departmentofphysics arieluniversity telavivuniversity ramataviv barilanuniversity ramatgan departmentofelectrical electronic engineering university pppl princetonuniversity princeton nj usa correspondence asya received april accepted june published abstract using the methods of symplectic geometry we establish existence a canonical transformation from potential model hamiltonians standard form in euclidean space to an equivalent geometrical on manifold where corresponding motions are along geodesic curves advantage this representation is that it admits computation deviation as test for local stability shown recent previous studies very effective criterion orbits generatedbythepotentialmodelhamiltonian wedescribeh...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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										Category:  Uncategorized / Uncategorized 
										
Posted on: 28 Jan 2023 | 2 years ago
										
										
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