- #1
kmchugh
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When using Fourier's trick for determining the allowable energies for stationary states, Griffiths introduces the a+- operators. When factoring the Hamiltonian, the imaginary part is assigned to the momentum operator versus the position operator. Is there a reason for this? If :
a-+ = k(ip + mwx)(-ip + mwx), and the commutator is (xp-px), Is
a+- = k(-ip = mwx)(ip + mwx) ?
If so, is the commutator (px-xp)?
Thanks in advance for your input.
a-+ = k(ip + mwx)(-ip + mwx), and the commutator is (xp-px), Is
a+- = k(-ip = mwx)(ip + mwx) ?
If so, is the commutator (px-xp)?
Thanks in advance for your input.