Solution Manual To Quantum Mechanics | Concepts And

(\psi(0)=\psi(L)=0).

[ \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), ] Solution Manual To Quantum Mechanics Concepts And

Hamiltonian becomes

[ \psi_0(x)=\Big(\fracm\omega\pi\hbar\Big)^1/4 \exp!\Big[-\fracm\omega2\hbar,x^2\Big]. ] (\psi(0)=\psi(L)=0)

with ([\hat a,\hat a^\dagger]=1).

[ V(x)=\begincases -V_0, & |x|<a\[4pt] 0, & |x|>a, \endcases \qquad V_0>0. ] x^2\Big]. ] with ([\hat a