p^~ congruent left bracketing bar ϕ_i(x)〉〈ϕ_i(t) right bracketing bar p^~ sum_j c_j left bracketing bar ϕ_j(t)〉 = c_i left bracketing bar ϕ_i(x)〉 sum_i left bracketing bar ϕ_i(x)〉〈ϕ_i(x) right bracketing bar = 1.
bra | ket | projection | projection matrix
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