exmachina
- 42
- 0
In NMR for molecules, one can collapse the nuclear spin wavefunction \psi_{nucspin} by applying the magnetic moment operator \mu. That is, \psi_{nucspin} becomes one of the eigenfunctions of \mu. This physically corresponds to hitting the nuclei with photons in the radiofrequency range.
In the Born-Oppenheimer approximation:
\Psi_{molecule}\approx \psi_{electron} \psi_{nuclear}
Clearly \psi_{nucspin} is one component of \psi_{nuclear}, there are other components of \psi_{nuclear} such as \psi_{nucrotation},\psi_{nucvibration}, etc.
That is,
\psi_{nuclear}=f( \psi_{nucrotation},\psi_{nucvibration},\psi_{nucspin})
So which operators would I use to collapse \psi_{nucrotation}? What frequency of light would I need?
How do I even go about calculating something like this?
In the Born-Oppenheimer approximation:
\Psi_{molecule}\approx \psi_{electron} \psi_{nuclear}
Clearly \psi_{nucspin} is one component of \psi_{nuclear}, there are other components of \psi_{nuclear} such as \psi_{nucrotation},\psi_{nucvibration}, etc.
That is,
\psi_{nuclear}=f( \psi_{nucrotation},\psi_{nucvibration},\psi_{nucspin})
So which operators would I use to collapse \psi_{nucrotation}? What frequency of light would I need?
How do I even go about calculating something like this?