if ψ(o)=(1 0)[itex]^{T}[/itex] at time t=0.(adsbygoogle = window.adsbygoogle || []).push({});

According to some Hamiltonian, it was found that the corresponding eigenstates are |ø[itex]_{1}[/itex]> = 1/√2(1 i)[itex]^{T}[/itex] and |ø[itex]_{2}[/itex]> = 1/√2(1 -i)[itex]^{T}

so then we wanted to expand ψ(0) in terms of |ø[itex]_{1}[/itex]> and |ø[itex]_{2}[/itex]>:

the author got: 1/√2|ø[itex]_{1}[/itex]> + 1/√2 |ø[itex]_{2}[/itex]>

My question is that where did he get the coefficients of |ø[itex]_{1}[/itex]> and |ø[itex]_{2}[/itex]>?? Is there a certain rule to this?

Note: this is an easy example, I can give a more detailed one if needed.

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# Expand ψ(o) in terms of eignestates

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