The electromagnetic field is invariant under a gauge transformation of the scalar and vector potential given by a rightarrow a + psi (r, t), phi rightarrow phi - l / c psi / t, where psi is arbitrary (but differentiable). what effect does this gauge transformation have on the lagrangian of a particle moving in the electromagnetic field? is the motion affected?

the answer would be   dignified - apex

answer

procedural programming, object-oriented programming

explanation

procedural programming is a type of computer programming language that specifies a series of well structured steps and procedures   within its development period of time. it contains a systematic order of statements, functions and commands to complete a computational task or program. it is centered on creating procedures. while object oriented programming is a programming language that is centered on creating objects rather that actions and data rather than logic.. it has four principles which are inheritance, polymorphism, abstraction and encapsulation