26.09.2015 Views

FISIKA KUANTUM

FISIKA KUANTUM

FISIKA KUANTUM

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

Contoh:<br />

1. Hitunglah gaya pegas rata-rata.<br />

F<br />

Fave = −mω<br />

ψ n ( x)<br />

xψ<br />

n ( x)<br />

dx = −ω<br />

mhω<br />

ψ n ( z)<br />

zψ<br />

n ( z)<br />

dz<br />

2. Hitunglah harga rata-rata energi potensial.<br />

V<br />

=<br />

2<br />

= −mω<br />

x<br />

1<br />

2<br />

2<br />

∞<br />

∫<br />

−∞<br />

mω<br />

2<br />

x<br />

2<br />

∞<br />

∫<br />

2<br />

2<br />

2<br />

Vave =<br />

1<br />

mω ψn<br />

( x)<br />

x ψn<br />

( x)<br />

dx<br />

1<br />

2<br />

= 2 hω<br />

ψn<br />

( z)<br />

z ψn<br />

( z)<br />

dz<br />

−∞<br />

∞<br />

∫<br />

−∞<br />

∞<br />

∫<br />

−∞<br />

3. Hitunglah harga rata-rata energi kinetik<br />

K<br />

K<br />

2 2<br />

h d<br />

= −<br />

2<br />

2m<br />

dx<br />

ave<br />

2<br />

h<br />

= −<br />

2m<br />

∞<br />

∫<br />

−∞<br />

ψ<br />

n<br />

⎡ d<br />

( x)<br />

⎢<br />

⎣dx<br />

2<br />

2<br />

ψ<br />

n<br />

⎤<br />

( x)<br />

⎥dx<br />

=<br />

⎦<br />

−<br />

1<br />

2<br />

hω<br />

∞<br />

∫<br />

−∞<br />

ψ<br />

n<br />

⎡ d<br />

( z)<br />

⎢<br />

⎣dz<br />

2<br />

2<br />

ψ<br />

n<br />

⎤<br />

( z)<br />

⎥dz<br />

⎦<br />

50

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!