A gas of non-relativistic classical particles in one dimension is subjected to a potential V(x) = α|x| (where α is a constant). The partition function is \(\left(\beta=\frac{1}{k_B T}\right)\)

1
\(\sqrt{\frac{4 m \pi}{\beta^3 \alpha^2 h^2}}\)
2
\(\sqrt{\frac{2 m \pi}{\beta^3 \alpha^2 h^2}}\)
3
\(\sqrt{\frac{8 m \pi}{\beta^3 \alpha^2 h^2}}\)
4
\(\sqrt{\frac{3 m \pi}{\beta^3 \alpha^2 h^2}}\)

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