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(Solved): Consider the (normalized) state of a two-level system |s_(1):, where {|+:),|-: is an orthonormal bas ...
Consider the (normalized) state of a two-level system |s_(1):, where {|+:),|-: is an
orthonormal basis, and where A and B are positive constants.
(a) Find a spin state |s_(2): that is normalized and orthogonal to |s_(1):, and has real coefficients. (There are
two possible solutions.)
(b) Let \sigma _(1)|+-: and \sigma _(2)|+-:. Compute (:s_(2)|[\sigma _(1),\sigma _(2)]|s_(2):) and (:s_(1)|\sigma _(2)|s_(2):).