where (A) is a (complex) constant, (\sigma>0) is the spatial width, and (k_0) is the central wavenumber. Determine the normalization constant (A).
(\psi(0)=\psi(L)=0).
[ \psi(x,0)=A \exp!\Big[-\fracx^24\sigma^2+ik_0x\Big], ] Solution Manual To Quantum Mechanics Concepts And
Hamiltonian becomes
[ V(x)=\begincases 0, & 0<x<L\[4pt] \infty, & \textotherwise \endcases ] where (A) is a (complex) constant, (\sigma>0) is
[ \hat a = \sqrt\fracm\omega2\hbar\Big(\hat x + \fracim\omega\hat p\Big),\qquad \hat a^\dagger= \sqrt\fracm\omega2\hbar\Big(\hat x - \fracim\omega\hat p\Big), ]
with ([\hat a,\hat a^\dagger]=1).
Find the transcendental equation that determines the even‑parity bound‑state energies.