Why is the thing framed in red fulfilled? Thank you Polential (VC^)- cx? - g23 - fx4: Partition function (2) =(r (de. ende Sde- BV(x)where;mass of the s cillator; B=T; Ta lemberalure.ToJet finite z, f has to be negative af it isthe leading term in e-BvCx) as x ± dLet;g' 8 S be Sufficientiy gmall8it.*(+ B(3x? +fx)+壁(まみfey?2こ「+ g +3fス' + Bge62.

Given,e-β(-gx3-fx4)=eβ(gx3+fx4)As we know,ex=1+x1!+x22!+x33!+...

Answered: Potential (vc<) = cx? - gre3 - fx4 :…

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Why is the thing framed in red fulfilled? Thank you

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

Step 1

$G i v e n, e^{- β (- g x^{3} - f x^{4})} = e^{β (g x^{3} + f x^{4})} A s w e k n o w, e^{x} = 1 + \frac{x}{1!} + \frac{x^{2}}{2!} + \frac{x^{3}}{3!} + . . .$

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