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    Problem 3.26 in Griffiths' Introduction to Quantum Mechanics

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    This is problem 3.26 in Griffiths' Introduction to Quantum Mechanics (second editition):

    An anti-hermitian (or skew-hermitian) operator is equal to minus its hemitian conjugate:
    (a) Show that the expectation value of an anti-hermitian operator is imaginary.
    (b) Show that the commutator of two hermitian operators is anti-hermitian. How about the commutator of two anti-hermitian operators?

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    https://brainmass.com/physics/quantum-physics/problem-3-26-in-griffiths-introduction-to-quantum-mechanics-39436

    Solution Preview

    For a hermitian operator, A* = A
    and for an anti hermitian one, A* = -A

    I used "* " for DAGGER

    first I will show u that the expectation value of hermitian operator is real

    <psi|A|psi>* = <psi|A|psi> = <A>, the expectation value of ...

    Solution Summary

    The answer with good explanations.

    $2.19