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L(q,dq/dt) = K(q, dq/dt) - U(q)

Can someone provide examples of Lagrangians in other disciplines?

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- Thread starter JTC
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- #1

- 100

- 6

L(q,dq/dt) = K(q, dq/dt) - U(q)

Can someone provide examples of Lagrangians in other disciplines?

- #2

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What do you mean by other disciplines?

- #3

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I VAGUELY recall a Lagrangian in particle physics that was about a page long.What do you mean by other disciplines?

Just other examples of Lagrangians...

- #4

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There must be lots on line. In General Relativity, for example:I VAGUELY recall a Lagrangian in particle physics that was about a page long.

Just other examples of Lagrangians...

https://en.wikipedia.org/wiki/Relativistic_Lagrangian_mechanics

Electromagnetism as well. They are almost everywhere.

- #5

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Circuit Theory

https://physics.stackexchange.com/questions/351860/lagrangian-method-for-an-lc-circuit

http://www.site.uottawa.ca/~rhabash/ELG4152L10.pdf

https://arxiv.org/abs/1610.03438

Economics

https://www.bauer.uh.edu/rsusmel/phd/MR-15.pdf

see 82.2.3 Euler-Lagrange equation in

http://www2.gsu.edu/~mgtshi/Chapter 82 - Application of ODE in FER-April 2009.pdf

see p. 110 in

https://onlinelibrary.wiley.com/doi/pdf/10.1111/j.1524-4733.2006.00088.x

https://physics.stackexchange.com/questions/351860/lagrangian-method-for-an-lc-circuit

http://www.site.uottawa.ca/~rhabash/ELG4152L10.pdf

https://arxiv.org/abs/1610.03438

Economics

https://www.bauer.uh.edu/rsusmel/phd/MR-15.pdf

see 82.2.3 Euler-Lagrange equation in

http://www2.gsu.edu/~mgtshi/Chapter 82 - Application of ODE in FER-April 2009.pdf

see p. 110 in

https://onlinelibrary.wiley.com/doi/pdf/10.1111/j.1524-4733.2006.00088.x

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- #6

jtbell

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An example of a much simpler Lagrangian of that type, which is often taught as a stepping-stone to quantum field theory:I VAGUELY recall a Lagrangian in particle physics that was about a page long.

Classical Scalar Field in Four Dimensions

Here we use not the Lagrangian of an entire system, but rather the Lagrangian density at each spacetime point.

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