Hi, we know that in a system with two base states, any state ∣Φ> of the system can always be described as a linear combination of the two base state:∣Φ>=∣1>*C1+∣2>*C2, where C1 is the ampitudes to be in on base state and C2 the other.(adsbygoogle = window.adsbygoogle || []).push({});

My question is, does that mean the state ∣Φ> can only swing (flip) between the two base state ∣1> and∣2>? I mean, is there any other actually new state except the two base states? If not, then why is it that we can choose two other new base state ∣Ⅰ>and∣Ⅱ>and rewrite the ∣Φ> in the new form :∣Φ>=∣Ⅰ>*CⅠ+∣Ⅱ>*CⅡ ?

Thank you in advance :)

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# Thoughts about ∣Φ>=∣1>*C1+∣2>*C2

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