- #1
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- 7
In equation 2.23 we have
[tex] \phi = \frac{1}{\sqrt{2\omega}}(a + a^{\dagger}) [/tex]
So how come equation 2.25 is
[tex] \phi(x) = \int{\frac{d^3p}{(2\pi)^3}\frac{1}{\sqrt{2\omega_p}}(a_pe^{ipx} + a_p^{\dagger}e^{-ipx})} [/tex]
And not [tex] \phi(x) = \int{\frac{d^3p}{(2\pi)^3}\frac{1}{\sqrt{2\omega_p}}(a_p + a_p^{\dagger})e^{ipx}} [/tex]
[tex] \phi = \frac{1}{\sqrt{2\omega}}(a + a^{\dagger}) [/tex]
So how come equation 2.25 is
[tex] \phi(x) = \int{\frac{d^3p}{(2\pi)^3}\frac{1}{\sqrt{2\omega_p}}(a_pe^{ipx} + a_p^{\dagger}e^{-ipx})} [/tex]
And not [tex] \phi(x) = \int{\frac{d^3p}{(2\pi)^3}\frac{1}{\sqrt{2\omega_p}}(a_p + a_p^{\dagger})e^{ipx}} [/tex]