Before making further discussion,a series of important logic characters implied in theprocess to construct wave equation would be worth for us to pay enough attention. Or,inmathematics,we should know:(1)It only is a partial differential equation equipped ...[继续阅读]

    Without doubt,while the vector potential Ψ itself but only its rotation ▽×Ψ is defined asthe unknown quantity a wave equation should solve,both the parts presented in(9. 3.11),which are respectively defined in space and time domains,can be logically conne...[继续阅读]

    Combining all these above-mentioned potential components,we can getAnd,among these singular component potentials,except the extra potential defined in(7.5.9),each of other three items can make a non-vanishing contribution to the rotation of theunknown vec...[继续阅读]

    In summary,once a disturbance source with a closed circle shape presented before us,there will reasonably be a complete mathematical model that can be used to express the wave orthe transmission excited by the small disturbance source over a given materia...[继续阅读]

    However,when facing with not a static but a dynamic varying current source J(x,t),wecan immediately judge the above-mentioned electric neutral character to will naturallydisappear. And still according to the universal charge conservation,we can logically ...[继续阅读]

    Clearly,any electromagnetic field and some electromagnetic wave presented in a givenfield should be regarded as two distinct concepts. Among both of them,the latter is only asdisturbance transmission excited by a small disturbance source over the former. ...[继续阅读]

    Based on the above-mentioned equivalent proposition,the classical theorem further pointedout that because the reintroduced vector field w(8. 3.1) is with neither divergence norrotation,the field could be preliminarily defined as a potential field. Or ther...[继续阅读]

    However,since we have known the obvious inconsistence between a pair of customarilyaccepted dependent variables E and B and two possibly given sources ρ and J,especially whenonly a singular varying current source or an individual independent variable J is...[继续阅读]

    Now,let us first consider how to reasonably construct governing differential equations thatcan be used in a proper boundary value problem of electrostatics. Obviously,according to theproperly presupposed mathematic physical model(2.5.2),it is impossible t...[继续阅读]

    As an objective and crucial differential operator,bispinor ▽ × ▽ × is endowed withimportant application value and assumes a series of intrinsic and seemingly abnormal charactersin mathematics. Perhaps just for lacking of the deep and exact understanding o...[继续阅读]