Re: a wave function of non-interacting non-identical particles



M. Zakharov wrote:
Dear Colleagues,

I would like to know how the wavefunction of the collection of
non-interacting n electrons and M(m) noninteracting nulclei looks like [m -
number of identical nuclei of type M] . For example two electrons and two
nuclei of different sort.

Any product of wave functions of individual particles should do. Since
the particles are distinguishable, no further construction steps, like
(anti-)symmetrization, arise. Note that in the example you gave, the
two electron subsystem would consist of two identify particles (with
anti-symmetric wave functions), while the two nuclei would
distinguishable between themselves and from the electrons. Any product
of wave functions of the the three distinguishable subsystems, or a
linear combination thereof, would be an acceptable wave function of the
entire system.

Hope this helps.

Igor

.



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