- #1

Incand

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I have two books that define generalised momentum differently. Either

##p_i = \frac{\partial L}{\partial \dot q_i}##

or

##p_i = \frac{\partial T}{\partial \dot q_i}##.

Is this since defining generalised momentum only make sense when the potential energy is independent of a coordinate ##q## and hence the above definitions are equal? Or is one of these more general than the other?

##p_i = \frac{\partial L}{\partial \dot q_i}##

or

##p_i = \frac{\partial T}{\partial \dot q_i}##.

Is this since defining generalised momentum only make sense when the potential energy is independent of a coordinate ##q## and hence the above definitions are equal? Or is one of these more general than the other?

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