![]() (a) (Ψ, Φ) = (Φ, Ψ) where z denotes the complex conjugate of z. ![]() ![]() If Ψ and Φ are any two states in our Hilbert space of states H, we have an inner product defined (Ψ, Φ) that satisfies the properties First we recall some basic facts about complex vector spaces.ġ. Here we show this is a general feature of quantum mechanics. In §7.3 we proved the Heisenberg Uncertainty Principle for the special case of the harmonic oscillator. The more precisely the position is determined, the less precisely the momentum is known in this instant, and vice versa. ![]()
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December 2022
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