91影视

To show that the Klein-Gordon equation has valid solutions for negative values of $\mathit{E}$, verify that equation (12-4) is satisfied by a wave function of the form .$\mathit{蠄}\mathbf{(}\mathbf{x}\mathbf{,}\mathbf{t}\mathbf{)}\mathbf{=}{\mathbf{Ae}}^{\mathbf{卤}\mathbf{ipx}\mathbf{/}\mathbf{鈩�}\mathbf{卤}\mathbf{iEt}\mathbf{/}\mathbf{鈩�}}$

To show,

(a) ${\mathit{唯}}_{\mathbf{1}}\mathbf{(}\mathit{x}\mathbf{,}\mathit{t}\mathbf{)}\mathbf{=}\mathit{A}{\mathit{e}}^{\mathbf{i}\mathbf{k}\mathbf{x}\mathbf{鈭�}\mathbf{i}\mathbf{蝇}\mathbf{t}}$is the solution of both Klein-Gordon and the Schrodinger equations.

(b) ${\mathit{唯}}_{\mathbf{2}}\mathbf{(}\mathit{x}\mathbf{,}\mathit{t}\mathbf{)}\mathbf{=}\mathit{A}{\mathit{e}}^{\mathbf{i}\mathbf{k}\mathbf{x}}\mathit{c}\mathit{o}\mathit{s}\mathit{蝇}\mathit{t}$is the solution of both Klein-Gordon but not the Schrodinger equations.

(c) The${\mathit{唯}}_{\mathbf{2}}$ is a combination of positive and negative energy solutions of the Klein-Gordon equation.

(d) To compare the time dependence of${\mathit{唯}}^{\mathbf{2}}$ for ${\mathit{唯}}_{\mathbf{1}}$and ${\mathit{唯}}_{\mathbf{2}}$.

Trying to pull two quarks apart would produce more quarks in groups or hadrons. Suppose that when the separation reaches 1 fm ( the approximate radius of a nucleon), the lightest hadron a ${蟺}^0$is created.

(a) Roughly how much force is involved?

(b) Compare this with the electrostatic force between two fundamentalcharges the same distance apart. Does your results agree with the strengths in table 12.1 ?