query: Substitution $\partial_\mu \to D_\mu \equiv \partial_\mu + ieA_\mu$ allows the introduction of electromagnetic interactions
positive_passages.docid: 155043
positive_passages.text: Substitution $\partial_\mu \to D_\mu \equiv \partial_\mu + ieA_\mu$ allows the introduction of electromagnetic interactions
negative_passages.docid: 89185
negative_passages.text: The notation for partial derivatives
negative_passages.docid: 19380
negative_passages.text: The equivalent electric field of a magnetic field
negative_passages.docid: 51644
negative_passages.text: Differential Equations for Physicists
negative_passages.docid: 137246
negative_passages.text: Uniform Scattering with vector
negative_passages.docid: 119523
negative_passages.text: Regularization of the Casimir effect
negative_passages.docid: 83175
negative_passages.text: Infinitesimal transformations for a relativistic particle
negative_passages.docid: 125565
negative_passages.text: Counting the number of propagating degrees of freedom in Lorenz Gauge Electrodynamics
negative_passages.docid: 32642
negative_passages.text: The formalism behind integration by substitution
negative_passages.docid: 66939
negative_passages.text: Picturing the how the covariant derivative acts on vector fields
negative_passages.docid: 29304
negative_passages.text: Surface integral of a scalar over a unit cube.
negative_passages.docid: 3603
negative_passages.text: Lagrangian and Hamiltonian EOM with dissipative force
negative_passages.docid: 114620
negative_passages.text: Maxwell in multiple dimensions: What happens to curl?
negative_passages.docid: 132363
negative_passages.text: Cauchy's Integral parametric conjugate
negative_passages.docid: 73144
negative_passages.text: Virtual photon description of B and E fields
negative_passages.docid: 116427
negative_passages.text: $(c^{\mu}\partial_{\mu}-m)\phi(x)=0$ not Lorentz-invariant?
negative_passages.docid: 114021
negative_passages.text: Inverse Green's Function identity in derivation of Hedin's equations