Exempelsamling - KTH Particle and Astroparticle Physics
Exempelsamling - KTH Particle and Astroparticle Physics
Exempelsamling - KTH Particle and Astroparticle Physics
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Dividera ekvationerna, lös ut<br />
C<br />
B, och förenkla:<br />
A<br />
x<br />
x<br />
A<br />
x<br />
x<br />
A<br />
B<br />
A<br />
C<br />
A<br />
x<br />
x<br />
A<br />
x<br />
x<br />
A<br />
k<br />
k<br />
A<br />
k<br />
k<br />
B<br />
E<br />
V<br />
x<br />
x<br />
k<br />
B<br />
A<br />
B<br />
A<br />
k<br />
B<br />
A<br />
B<br />
A<br />
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2<br />
1)<br />
(1<br />
1<br />
2<br />
1)<br />
(1<br />
2<br />
1)<br />
(1<br />
1)<br />
(<br />
1<br />
1)<br />
(1<br />
)<br />
/<br />
(<br />
1<br />
)<br />
/<br />
(1<br />
/<br />
1<br />
/<br />
1<br />
1,<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
0<br />
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Ex12:10<br />
0<br />
1<br />
ˆ<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
/<br />
3<br />
2<br />
/<br />
2<br />
2<br />
/<br />
2<br />
/<br />
2<br />
/<br />
*<br />
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dx<br />
xe<br />
a<br />
i<br />
dx<br />
e<br />
a<br />
x<br />
e<br />
a<br />
i<br />
dx<br />
e<br />
x<br />
i<br />
e<br />
a<br />
dx<br />
p<br />
p<br />
a<br />
x<br />
a<br />
x<br />
a<br />
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a<br />
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a<br />
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eftersom integr<strong>and</strong>en är en udda function.<br />
2<br />
2<br />
6<br />
4<br />
2<br />
2<br />
/<br />
4<br />
2<br />
2<br />
2<br />
2<br />
/<br />
4<br />
2<br />
2<br />
2<br />
/<br />
2<br />
2<br />
/<br />
2<br />
2<br />
/<br />
2<br />
2<br />
/<br />
2<br />
2<br />
/<br />
2<br />
*<br />
2<br />
2<br />
1/<br />
2<br />
1<br />
1<br />
1<br />
1<br />
1<br />
1<br />
ˆ<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
a<br />
a<br />
a<br />
a<br />
a<br />
dx<br />
e<br />
a<br />
x<br />
a<br />
a<br />
dx<br />
e<br />
a<br />
x<br />
a<br />
e<br />
a<br />
dx<br />
e<br />
a<br />
x<br />
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e<br />
a<br />
dx<br />
e<br />
x<br />
i<br />
e<br />
a<br />
dx<br />
p<br />
p<br />
a<br />
x<br />
a<br />
x<br />
a<br />
x<br />
a<br />
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a<br />
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a<br />
x<br />
a<br />
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Ex12:11<br />
0<br />
1<br />
1<br />
ˆ<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
/<br />
2<br />
/<br />
2<br />
/<br />
*<br />
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dx<br />
xe<br />
a<br />
dx<br />
xe<br />
e<br />
a<br />
dx<br />
x<br />
x<br />
a<br />
x<br />
a<br />
x<br />
a<br />
x<br />
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eftersom integr<strong>and</strong>en är en udda function.<br />
2<br />
1/<br />
2<br />
1<br />
1<br />
1<br />
ˆ<br />
2<br />
6<br />
/<br />
2<br />
2<br />
/<br />
2<br />
2<br />
/<br />
2<br />
*<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
2<br />
a<br />
a<br />
a<br />
dx<br />
e<br />
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a<br />
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e<br />
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e<br />
a<br />
dx<br />
x<br />
x<br />
a<br />
x<br />
a<br />
x<br />
a<br />
x