# Need help in statistical mechanics' canonical ensemble

1. Mar 23, 2010

### zasdzcc

In derivation of probability of system at energy E with canonical ensemble, one assumes that the probability of system in a microstate Ei is proportional to the multiplicity of reservoir. Is this probability the conditional probability by knowing that system is at energy Ei with knowing it is at state Ei? All I see is that probability of finding system in energy E is proportional to product of probabilities of system and reservoir. And for a given energy Ei for a micro state, it is possible that the system can rearrange it into a state which has the same energy but it is another microstate.

Thanks.