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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.
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What is the name of this Lagrangian and how can I find its equations of motion?
I would appreciate if someone tell me how I should go about finding eom. for the following Lagrangian:$$L=-\frac{1}{2}\phi(\Box + m^2)\phi$$
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4
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Lagrangian and finding equations of motion
I am given the following lagrangian:
$L=-\frac{1}{2}\phi\Box\phi\color{red}{ +} \frac{1}{2}m^2\phi^2-\frac{\lambda}{4!}\phi^4$
and the questions asks:
How many constants c can you find for which $\p …
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Lagrangian and finding equations of motion
Thanks to all you guys I have found that my mistake was at confusing the kinetic and interaction terms. so here is my answer to this question:
this problem is basically finding the values for $\phi$ t …
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0
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expanding the coulomb lagrangian [duplicate]
suppose we have the free field lagrangian:
$$L=-\frac{1}{4}F_{\mu \nu} ^2$$ then its just $$L=-\frac{1}{4}(\partial_\mu A_\nu -\partial_\nu A_\mu)^2$$ what I don't understand is how its equal to: $$L= …
3
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2
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How to expand Maxwell Lagrangian?
I am given $$L=-\frac{1}{4}F^2_{\mu\nu}-A_{\mu\nu}J_\mu$$ to calculate equations of motion I have to expand the terms in the Lagrangian as following (note this is from Schwartz QFT book page 37):
$$L= …