Partition function for one particle

[aaaa202]

Does the energy distribution of one particle also follow the Boltzmann distribution. I.e. can you get the energy distribution for a single particle by calculating its partition function and writing:
P(E) = exp(-E/T)/Z

 

[mfb]

A single particle does not have a well-defined temperature.
If that single particle is in contact to some "container" (heat bath) with a fixed temperature, it will follow the Boltzmann distribution.