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Results tagged with lagrangian-formalism
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user 82497
For questions involving the Lagrangian formulation of a dynamical system. Namely, the application of an action principle to a suitably chosen Lagrangian or Lagrangian Density in order to obtain the equations of motion of the system.
2
votes
1
answer
181
views
Four-divergence and Legendre transformation
As a study case, consider the following Lagrangian for a left-handed Weyl field $\chi \in \mathbb{C}^{2}$:
$$\mathcal{L} = \chi^{\dagger} \mathrm{i} \overline{\sigma}^{\rho} \partial_{\rho} \chi$$
w …
- 403
2
votes
1
answer
610
views
Dirac bracket for the Majorana Lagrangian
Note: See update below.
Consider the Majorana Lagrangian
$$\mathcal{L}=-\psi ^{\mathrm{T}}\mathrm{i}%
\gamma ^{0}\left( \gamma ^{\rho }\partial _{\rho }+m\right) \psi ,\tag{1}$$
where $%
\psi \in …
- 403