- #1
vnikoofard
- 12
- 0
Hi friends
I am trying to drive constraints of a Lagrangian density by Dirac Hamiltonian method. But I encountered a problem with calculating one type of Poisson Bracket:
{[itex]\varphi,\partial_x\pi[/itex]}=?
where [itex]\pi[/itex] is conjugate momentum of [itex]\varphi[/itex]. I do not know for this type Poisson Bracket I can use part-by-part integration or not. I mean
{[itex]\varphi,\varphi\partial_x\pi[/itex]}= -[itex]\varphi[/itex]
Cheeeers!
Vahid
I am trying to drive constraints of a Lagrangian density by Dirac Hamiltonian method. But I encountered a problem with calculating one type of Poisson Bracket:
{[itex]\varphi,\partial_x\pi[/itex]}=?
where [itex]\pi[/itex] is conjugate momentum of [itex]\varphi[/itex]. I do not know for this type Poisson Bracket I can use part-by-part integration or not. I mean
{[itex]\varphi,\varphi\partial_x\pi[/itex]}= -[itex]\varphi[/itex]
Cheeeers!
Vahid