- #1
LagrangeEuler
- 717
- 20
Lagrangian is defined by ##L=L(q_i,\dot{q}_i,t)## and hamiltonian is defined by ##H=H(q_i,p_i,t)##. Why there is relation
[tex]H=\sum_i p_i\dot{q}_i-L[/tex]
end no
[tex]H=L-\sum_i p_i\dot{q}_i[/tex]
or why ##H## is Legendre transform of ##-L##?
[tex]H=\sum_i p_i\dot{q}_i-L[/tex]
end no
[tex]H=L-\sum_i p_i\dot{q}_i[/tex]
or why ##H## is Legendre transform of ##-L##?