- #1
Satana
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- Homework Statement
- I just need a hint to solve the fifth question of this exercise. I have already solved the others
- Relevant Equations
- $$a_q'=\frac{1}{\sqrt {2}}\left(u_q\sqrt{\frac{M\omega_q'}{\hbar}}+ip_{-q}\frac{1}{\sqrt{M\omega_q'\hbar}}\right)
\,\,\,\,\,\,\,\,\,\,
a_q'^\dagger=\frac{1}{\sqrt {2}}\left(u_-q\sqrt{\frac{M\omega_q'}{\hbar}}-ip_q\frac{1}{\sqrt{M\omega_q'\hbar}}\right) $$
I thought about writing $$a_q'|0'> =0$$ then develop the U operator in series, after I don't know how to proceed
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