query: Relationship between vector field, generator & scalar field in Noether's theorem
positive_passages.docid: 35509
positive_passages.text: Noether's Theorem: Lie groups vs. Lie algebras; finite vs. infinitesimal symmetries
negative_passages.docid: 135071
negative_passages.text: Energy momentum tensor from Noether's theorem
negative_passages.docid: 19386
negative_passages.text: Geometric interpretation of Electromagnetism
negative_passages.docid: 1045
negative_passages.text: Why is this vector field curl-free?
negative_passages.docid: 101944
negative_passages.text: Fundamental invariants of the electromagnetic field
negative_passages.docid: 28057
negative_passages.text: Deriving $p = mv$ from translational symmetry (momentum conservation law)?
negative_passages.docid: 61686
negative_passages.text: Noether's first theorem and classical proof of electric charge conservation
negative_passages.docid: 51612
negative_passages.text: Question About Notation In Field Theory $F(x)$ vs. $F[x]$
negative_passages.docid: 98800
negative_passages.text: Do local flows of left-invariant vector fields satisfy $\Phi_X^t\circ L_x=L_x\circ \Phi_X^t$?
negative_passages.docid: 152446
negative_passages.text: Noether's Theorem and scale invariance
negative_passages.docid: 95076
negative_passages.text: Finding a vector potential for a solenoidal vector field
negative_passages.docid: 122041
negative_passages.text: Emmy Noether's theorem in simpler terms
negative_passages.docid: 150133
negative_passages.text: Why is work scalar and the dot product of force and displacement?
negative_passages.docid: 18144
negative_passages.text: Does a nonzero Poynting vector mean that there is propagation of energy?
negative_passages.docid: 100694
negative_passages.text: Kinetic energy in work energy theorem
negative_passages.docid: 53441
negative_passages.text: Simple explanation to the induction from the slowly changing $\vec B$ of a solenoid in the region of $0$ magnetic field
negative_passages.docid: 28935
negative_passages.text: Lagrangian of the Euler equations