Solution Manual To Quantum Mechanics Concepts And -

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

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

[ \psi_0(x)=\Big(\fracm\omega\pi\hbar\Big)^1/4 \exp!\Big[-\fracm\omega2\hbar,x^2\Big]. ] Solution Manual To Quantum Mechanics Concepts And

[ \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), ] [ V(x)=\begincases -V_0, & |x|&lt;a\[4pt] 0, & |x|&gt;a,

[ \psi(x,0)=A \exp!\Big[-\fracx^24\sigma^2+ik_0x\Big], ] [ V(x)=\begincases -V_0

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