- #1

Apashanka

- 429

- 15

- Homework Statement
- Partition function of 2 bosons in two energy level 0 and E

- Relevant Equations
- Partition function of 2 bosons in two energy level 0 and E

For 2 bosons each of which can occupy any of the energy levels 0 and E the microstates will be 3

0 E

a a

aa -

- aa

the partition function is therefore $$z=1+e^{-\beta E}+e^{-2\beta E}...(1)$$

Another approach to do..

The single particle partition function is

$$z=1+e^{-\beta E} $$ and therefore for 2 identical particle the partition function becomes $$z^2/2!..…(2)$$ and as such (1) and (2) doesn't match……

Am I wrong somewhere??

Thanks,

Apashanka

0 E

a a

aa -

- aa

the partition function is therefore $$z=1+e^{-\beta E}+e^{-2\beta E}...(1)$$

Another approach to do..

The single particle partition function is

$$z=1+e^{-\beta E} $$ and therefore for 2 identical particle the partition function becomes $$z^2/2!..…(2)$$ and as such (1) and (2) doesn't match……

Am I wrong somewhere??

Thanks,

Apashanka