Potential (vc<) = cx? - gre3 - fx4 : Partition function (2) = dn dp: d - BV(x) e e zm where; m→ mass of the ascillator; B: Ta temberature. To Jet finite Z; § hag to be negative af it if the leading term in e-BUCx) af x→ + d. Let; go g Ş be Sufficientiy Small S.t. = I + B( gx? x) 2. = I + Bgz + Bfz + Bgx

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Polential (VC^)
- cx? - g23 - fx4
: Partition function (2) =
(r (de. en
de Sde
- BV(x)
where;
mass of the s cillator; B=T; Ta lemberalure.
To
Jet finite z, f has to be negative af it is
the leading term in e-BvCx) as x ± d
Let;
g' 8 S be Sufficientiy gmall8it.
*(+ B(3x? +fx)+壁(まみfey?
2
こ「+ g +3fス' + Bge6
2.
Transcribed Image Text:Polential (VC^) - cx? - g23 - fx4 : Partition function (2) = (r (de. en de Sde - BV(x) where; mass of the s cillator; B=T; Ta lemberalure. To Jet finite z, f has to be negative af it is the leading term in e-BvCx) as x ± d Let; g' 8 S be Sufficientiy gmall8it. *(+ B(3x? +fx)+壁(まみfey? 2 こ「+ g +3fス' + Bge6 2.
Expert Solution
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Given,e-β(-gx3-fx4)=eβ(gx3+fx4)As we know,ex=1+x1!+x22!+x33!+...

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