Are the gradient field are the only fields which are only conservative?
81912
What causes a force field to be "non-conservative?"
138424
Scalar field Derivative. Real vs Complex
4989
Why are there only derivatives to the first order in the Lagrangian?
56936
$\frac{\partial f_i}{x_j}=\frac{\partial f_j}{x_i}\implies(f_1,\ldots,f_n)$ is a gradient
75612
Why are differential equations for fields in physics of order two?
152916
What is the gradient with respect to a vector $\mathbf x$?
95836
Why is the electric field is the negative gradient of potential energy function?
98800
Do local flows of left-invariant vector fields satisfy $\Phi_X^t\circ L_x=L_x\circ \Phi_X^t$?
88658
Confusion regarding the principle of least action in Landau & Lifshitz "The Classical Theory of Fields"
10953
Elementary argument for conservation laws from symmetries *without* using the Lagrangian formalism
126548
Noisy Gradient Effect
130259
Is the S-Matrix the only quantum field observable?
58583
Is the normal force a conservative force?
133749
Trouble with gradient intuition
105248
Why is the gradient of implicit surface the normal vector (i.e. parallel to the normal line)?
97765
Force as gradient of scalar potential energy
127964
Confused about the possibility of different differentiable structures.