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Modelowanie molekularne - metody Monte Carlo

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Wprowadzenie Pola siłowe Klasyczna metoda <strong>Monte</strong> <strong>Carlo</strong> Kwantowe <strong>metody</strong> <strong>Monte</strong> <strong>Carlo</strong><br />

Kwantowa dynamika <strong>Monte</strong> <strong>Carlo</strong> - PIMC<br />

∫<br />

Q r = C[β −DN/2 ]<br />

× exp{− P 2<br />

(<br />

+ β P<br />

i=1<br />

V (r 1 ) +<br />

dr 1 ∫<br />

∫<br />

dx 2 . . .<br />

s=2<br />

dx P<br />

N∑<br />

P−1<br />

∑<br />

m i<br />

((x 2 i ) 2 (<br />

+ x<br />

s+1<br />

i<br />

)<br />

P∑<br />

V (r 1 + β 1/2 x s ) ]},<br />

s=2<br />

)<br />

− x s ) 2<br />

i + (x<br />

P<br />

i ) 2<br />

〈E〉 = − ∂ log Q r<br />

∂β<br />

≃ DN<br />

2β + 1 〈<br />

∑ P<br />

P<br />

n=1<br />

d{V [r 1 + β 1/2 x n 〉<br />

]β}<br />

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