УК гд а Уж × в
УК гд а Уж × в
УК гд а Уж × в
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
ØÌÙ¹ÆÍÌ<strong>×</strong>ÔØÓÐÖ<strong>×</strong>ÓØØØÑØÖ<strong>×</strong>ÐÑÓ<strong>×</strong>ØظÒÒÐÓÐÖÓÒÓ ÔØÖ¾ºÓÙÒØÒÝÓÒ<strong>×</strong>ÒËØÖÒÌÓÖÝ<br />
ÝÔÐÒØ1¹5<strong>×</strong>Ý<strong>×</strong>ØÑØØÓÖÒÓØÌÙ¹ÆÍÌ<strong>×</strong>ÔÒØÖØÒØÑ<strong>×</strong> ÒÓÑÔÙØØÓÒØÖÙØÓÒÙØÓØÒÓÒ¹ÞÖÓÑÓÓ<strong>×</strong>ÓÒÒÖÑÓÒÓ<strong>×</strong>ÐÐØÓÖ<strong>×</strong> ØÌÙ¹ÆÍÌ<strong>×</strong>ÔØÛÓÖйÚÓÐÙÑØÓÖÝÓØ1¹5<strong>×</strong>Ý<strong>×</strong>ØÑ<strong>×</strong>ÐÑÓ<strong>×</strong>ØÖºÌÒÛ<br />
Ó<strong>×</strong>ÐÐØÓÖ<strong>×</strong>ÓÖÐ<strong>×</strong>ºÙÖØÖ¸ÛÒØÓÜÑÒÓÒÐÝØÐعÑÓÚÒÓ<strong>×</strong>ÓÒÓ<strong>×</strong>ÐÐØÓÖ<strong>×</strong> Ó<strong>×</strong>ÓÒÒÖÑÓÒÓ<strong>×</strong>ÐÐØÓÖ<strong>×</strong>ÖÒØÖÖÓÙÒ<strong>×</strong>ØغÌÓÒØÖÙØÓÒØÓØÔÖØØÓÒ ÙÒØÓÒÖÓÑØ<strong>×</strong>Ó<strong>×</strong>ÐÐØÓÖ<strong>×</strong><strong>×</strong><br />
0¸<strong>×</strong>ÒØÖعÑÓÚÒ ÖÖÝÒÑÓÑÒØÙÑ−l 0 /NÐÓÒS1ÒÒÙÐÖÑÓÑÒØÙÑj ÛÖÛÙ<strong>×</strong>ØØØØ<strong>×</strong>ÒØ<strong>×</strong>Ó<strong>×</strong>ÐÐØÓÖ<strong>×</strong>ÖÓ<strong>×</strong>ÓÒÖÓÑØÚ¹ÑÒ<strong>×</strong>ÓÒÐÔÓÒØ ´¾º¼µ<br />
ZÓ<strong>×</strong>(˜ρ, ˜ν) ≡ÌÖÓ<strong>×</strong>ÐÐØÓÖ<strong>×</strong>((−1)<br />
0ÖÓÑØÓÙÖ¹ÑÒ<strong>×</strong>ÓÒÐÔÓÒØÓÚÛº<br />
(1 − e 2πinN ˜ρ+2πi˜ν ) 2 (1 − e 2πinN ˜ρ−2πi˜ν ) 2,<br />
ÒØÒÓØ<strong>×</strong>ØÝÒÑ<strong>×</strong>Ó<strong>×</strong>ÙÔÖÔÖØиÛØÓÙÖÓ<strong>×</strong>ÓÒÒÓÙÖÖÑÓÒ ÒØÖØÒÔÖØÓØØÓÖݺËÒØÖÖÓÙÖÓ<strong>×</strong>ÓÒÒÓÙÖÖÑÓÒÐ<strong>×</strong>¸Û ÒÐÐÝÛÚØÓÚÐÙØØÔÖØØÓÒÙÒØÓÒÓÖØÞÖÓ¹ÑÓÓ<strong>×</strong>ÐÐØÓÖ<strong>×</strong>ÓØ<br />
ÓÓÖÒØ<strong>×</strong>¸ÛØÖÒ<strong>×</strong>ÓÖÑÒÔÖÓ<strong>×</strong>ÔÒÓÖÖÔÖ<strong>×</strong>ÒØØÓÒ<strong>×</strong>¸ÑÓÚÒÒØÌÙ¹ÆÍÌ<br />
ÓÚÛ¸ØÝÚ<strong>×</strong>ØØ<strong>×</strong>Ø<strong>×</strong>(−1)<br />
<strong>×</strong>ÔºÌÔÖØØÓÒÙÒØÓÒÓÖØ<strong>×</strong>ÑÓ<strong>×</strong><strong>×</strong>ÚÝ<br />
F = (−1) j<br />
ÈÙØØÒØÓØÖÐÐØÓÒ<strong>×</strong>ØØÙÒØÔÖØØÓÒÙÒØÓÒ<strong>×</strong>¸ØÔÖØØÓÒÙÒØÓÒ<strong>×</strong><strong>×</strong>ÓØ<strong>×</strong> ´¾º½µ<br />
ÛØØÒØÖÓÑ<strong>×</strong><strong>×</strong>ÑÓØÓÒÓØ1¹5<strong>×</strong>Ý<strong>×</strong>ØÑÒØÌÙ¹ÆÍÌ<strong>×</strong>Ô<strong>×</strong>ÚÒÝ<br />
ZÞÖÓ(˜ν) ≡ÌÖÞÖÓÑÓ<strong>×</strong>((−1)<br />
(1 − e 2πi˜ν ) . 2 },´¾º¾µ {(1 − e 2πinN ˜ρ ) 4 (1 − e 2πinN ˜ρ+2πi˜ν ) −2 (1 − e 2πinN ˜ρ−2πi˜ν ) −2 <br />
∑<br />
l 0 ,j 0<br />
F ∞∏<br />
=<br />
F<br />
n=1<br />
(−1) j 0<br />
e 2πi˜νj 0<br />
= −<br />
(−1) j 0<br />
e 2πi˜ρl 0<br />
e 2πi˜νj 0<br />
)<br />
1<br />
∞∑<br />
j 0 e 2πi˜νj 0<br />
= −<br />
j 0 =1<br />
dØÖÒ<strong>×</strong>ÚÖ<strong>×</strong>(l 0 , j 0 )(−1) j 0e 2πil 0˜ρ+2πij 0˜ν = ZÖ(˜ρ)ZÓ<strong>×</strong>(˜ρ˜ν)ZÞÖÓ(˜ν)<br />
= −4e 2πinu ˜ (1 − e 2πi˜ν ) −2<br />
<strong>×</strong><br />
∞∏<br />
n=1<br />
e2πi˜ν