Re: Newton Vs Lagrange Vs Hamilton
vonnyn@xxxxxxxxxxx wrote:
In V. Arnol'd 's highly respected Classical Mechanics text (in the
wonderful Springer-Verlag Graduate Outline series) he mandates that
Newtonian Mechanics is properly contained in Lagrangian Mechanics which
in turn is properly contained in Hamiltonian Mechanics; the latter
therefore being the most general.
Can you quote the context and outline his argument?
I can't believe that he wrote that.
Do you then disagree with this
structural assertion?
Yes. One can convert any Hamiltonian system into a Lagrangian system
in extended phase space. But one can convert a Lagrangian system into
a Hamiltonian one only if d^2L/dq^2 is nonsingular.
Arnold Neumaier
.
Relevant Pages
- Re: Time Flow
... Lagrangian and Hamiltonian mechanics. ... imposing in effect a constraint on the motion. ... Lagrangian mechanics is a re-formulation of classical mechanics that ... Lagrange's equation for the classical mechanics is the difference ...
(sci.physics.relativity) - Re: Newton Vs Lagrange Vs Hamilton
... Lagrangian Mechanics ... Hamiltonian Mechanics ... If you take a Lagrangian function L = difference in Kinetic T and Potential ... you should get back to Newtonian mechanics. ...
(sci.physics.research) - Re: Newton Vs Lagrange Vs Hamilton
... Lagrangian Mechanics ... Hamiltonian Mechanics ... If you take a Lagrangian function L = difference in Kinetic T and Potential ... you should get back to Newtonian mechanics. ...
(sci.physics.research) - Re: Newton Vs Lagrange Vs Hamilton
... Lagrangian Mechanics ... Hamiltonian Mechanics ... There is also a symplectic view of Lagrangian mechanics, presented, ... Marsden and Ratiu give an almost rigorous approach. ...
(sci.physics.research) - Re: Newton Vs Lagrange Vs Hamilton
... In V. Arnol'd 's highly respected Classical Mechanics text (in the ... wonderful Springer-Verlag Graduate Outline series) he mandates that ... Newtonian Mechanics is properly contained in Lagrangian Mechanics which ...
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