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Yang-Baxter equation in spin chains with long range interacting systems

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(1)Yang-Baxter equation in spin chains with long range interacting systems D. Bernard, M. Gaudin, F.D.M. Haldane, V. Pasquier. To cite this version: D. Bernard, M. Gaudin, F.D.M. Haldane, V. Pasquier. Yang-Baxter equation in spin chains with long range interacting systems. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 1993. �hal-00163194�. HAL Id: hal-00163194 https://hal.archives-ouvertes.fr/hal-00163194 Submitted on 17 Jul 2007. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

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(130) eM gvĨM

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(132) IPO¤ƒ„IPM

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(138) † YbroM

(139) a; NM

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(141) asgvzîß ~J

(142) à ß ~J

(143) à ß ~t à ß ~JŒ

(144) à E.  G u

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(161) ƒvYjz KNgHYbgƒ  M

(162) ƒ;ƒ  GšƒvIPM

(163) KNg¬TGJI†œM

(164) ƒvILYZ­‡z

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(169) † YjaZƒvz KYsM

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(176) KƒoE  G“ GJKGJIPM

(177) ƒ„YZK“ TX”KNrtƒ„YZz KBTz I{ƒ  G‡_`M

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(179) KNg`Ybg*Kz ƒª“ Yjp GJK —u ƒ  G¤ƒ„IPM rtG z

(180) ôƒ  Gšƒ„IPM

(181) Kg¬TGoI†8M

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(184) K“ YbM

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(188) KƒvX†õOGJƒ„GJIL† YZKNM

(189) KƒoE  K4ƒ  GšabM

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(191) Kƒ YbgyM r  KX† — GJIHŽ  Ybr  rPz KƒLM

(192) YjKgGJKz X“  YZKTz IL†8M

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(198) p Gyƒ  G  M

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(205) KƒvYjƒvYZGlgHŽ  Ybr  ŽG OYbM

(206) “ z KNM

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(209) ILƒ E ~

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(217) ILƒ E  M

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(310) K“  FM

(311) ­‘ƒvGoI`G3h XM

(312) ƒ„YZz K . d. ~. ê~R~IŸ‚02€¢. d. Ÿ‚"¢. d ~ Ÿ€¢0ì ~  Ÿ*€’¢ ~ Ÿ‚ ¢Äê~R~I¬Ÿd0€¢ d d ~ Ÿd ¢{OGJKz ƒvGlgªƒ  G8†8M

(313) ƒ„ILYZ­ Ÿ‚ ¢-.  rJrPz IPO’YjK“§ƒvd z¨gvƒLM

(314) KNOM

(315) IPO@K”z ƒ®M

(316) ƒvYjz Kg‡ß –3àd †8M

(317) ƒ„ILYZ­ ~. .  ŽGYZKƒ„ILzOXNrtGƒ  G¤ƒ„IPM

(318) KNg¬TGJIš†8M

(319) ƒ„ILYZ­. e SJc | g } d. d ~ M

(320) KNO. Ÿ‚"¢. Ÿ 65Ð ¢. ~  Ÿ€¢*ƒ . Ÿ*€’¢®E  G*†8M

(321) ƒ„ILYZ­8ê$Ÿd ¢eYbgƒ  G$gvz ajX”ƒ„YZz K8z

(322) ƒ  G  M

(323) K”“  FM

(324) ­qƒ„GJI;GlhiXNM

(325) ƒvYjz K@“ YZp GJK —u ‚'. ê$Ÿd ¢0ì. ,. . G. Ÿ 65Ŗ ¢. .ƒ~R~I. Ž  GoILG.ƒ~R~  sY gHƒ  Gy GJIL†XƒLM

(326) ƒvYjz K z GoIPM

(327) ƒvz IHŽ  Ybr  Go­r  M

(328) K”“ Glg(ƒ  G`ƒŽz°M

(329) X”­‘YZajYbM

(330) I u gv NM rtG3g M

(331) KNd O D„ E  h XNM

(332) ƒvYjz KBŸ  E  ¢GJ­‘ ILG3gLgvG3gƒ  G`Kz K  rtz †d †XƒLM

(333) ƒvYjpqYjƒ u z

(334) ôƒ  G`z GoIPM

(335) ƒvz I†8M

(336) ƒ„ILYZ­$GJajGJ† GJKƒ®gHz

(337) . ~.  G*GJ­‘ ILG3gLgvYZz K8Ž  Ybr  ŽG*z — ƒLM

(338) YZK8Tz I. d. Ž  GoILG§ë. ~. Ÿd ¢0ì. ~.  ~ . ~

(339)  0™ ëZ† / ,  k   | d E ¢®E  *ŽG/gvGJƒ ~ Ÿd ¢ . '. Ybgƒ  G§†8M

(340) ƒ„ILYZ­OG ã KG3OYZKíGlh”E³Ÿ . GJ­‘ NM

(341) KO8YZƒyYZK/ z

(342) ŽGoIPgHz

(343)  |  ŽG ã KNOP. ‰. d Ž  GoILGBƒ  G. d. SJc Ÿ‚"¢íì. e SJc | g. . Ÿ‚"¢HYsgw“ Yjp GJK —u. J.  M3p G — GJGJK6OG ã KG3O YjK³G3hEޟ  E Œ ¢LE. Tz aZajz

(344) Ž=g

(345)   ƒyrtz † †X”ƒ„G3gHŽyYZƒ  ƒ  G°_`M

(346) † YjaZƒvz KYsM

(347) K=  ƒ  G. bˆ‡ S3knc  | S c¬~ S. Ÿ 65Ћ ¢ SocLŸ‚"¢  M

(348) KNO. d. ' Š  , Œe ‹ e +~. SJc. ì. d. Ÿd ¢®E. |. Ÿ 65Ð ¢. e SJc. ˜™GroM

(349) K³† z ƒvYjpM

(350) ƒvG™ƒ  Ysg4GJ­‘ ILG3gLgvYZz K M g. | rtz‘Gz/rPYZGJKƒyrPz YZKNrtYbOG3gHŽyYZƒ  ŸdM¤gvajYZ“  ƒ. ‰Ž. “ GJKGJIPM

(351) ajYZ¥3M

(352) ƒ„YZz Kz

(353) J¢ ƒ  Gy“ GJKGJIPM

(354) ƒvz IPgÊz

(355) "ƒ  G  M

(356) K”“ YsM

(357) KNg:YbOGJKƒ„Y ã G3O$YZK&ß  à‚ M

(358) KNO  M g(ŽGyŽ;YjaZaOYsgLrtXNgLg:YZK MšKGJ­‘ƒgvG3rtƒ„YZz K  YjK8Mšgv NG3rtY ã ryaZYZ†‡YZƒYZƒe“ YZp G3g — M rLÜ$ƒ  G`ƒ„IPM

(359) KNg¬TGJIH†8M

(360) ƒ„ILYZ­$z

(361) ôM

(362) K Ý=Ý`Ý6r  M

(363) YZK E ˜  GJK. ƒ  GŽ  Ybr  OG ã KG$ƒ  G«TXKNrtƒ„YZz KNg. M. /$YjKBG3h XNM

(364) ƒvYjz K0Ÿ . E ¢. d † zOXaZXNg M

(365) ILGrtz †‡ ”ajGJ­§Kd X”† — GoIPgwz

(366) Ä. z KG  M

(367) K§Yj† z ILƒ®M

(368) Kƒ ILz GJILƒ u z

(369) ƒ  Ysgwƒ„IPM

(370) Kg¬TGoI;†8M

(371) ƒ„ILYZ­ YsgwYjƒLg  GJIL† YZƒ„YbrtYjƒ u. . Soc‘®Ÿ‚"¢Hì.  Kíz IPOGJIƒvz™ ILzp GBŸ  E  ¢  ŽG/XNgvG4z NGJIPM

(372) ƒvz IPg$YZKƒvILzO’XNrtGlOâYZK ß ~J

(373) à ß ~J

(374) à ß ~ ~tà. cS Ÿ "¢LE. YZK¯ƒ  G§ u gvYbrog. aZYjƒvGJIPM

(375) ƒ„XILG$M

(376) KNORܑKz

(377) ŽyK@YZK&†8M

(378) ƒ  GJ†œM

(379) ƒvYbrog;XKOGJIyƒ  GKNM

(380) † Gšz

(381) ÄD`XK”Ü‘aÊz NGJIPM

(382) ƒvz IPg$ß

(383) à ß ~J

(384) à ß 

(385) à ß ~tà ß  

(386) à ß 

(387) à E’: GJƒôXg OG ã KGHƒ  Geƒ  ILGJGH NGJIL†X”ƒ®M

(388) ƒvYjz Kª“ ILz X Ng

(389) ƒ“ | “ M

(390) KNO”“–•HILG3gv GlrtƒvYjp GJa u “ GJKGJIPM

(391) ƒ„G3O % —7 u — < .8<$M

(392) KNO§ƒ  G$ ILzO’XNrtƒ{Ÿ .-/ — /3¢LE  Gšz GoIPM

(393) ƒvz I — <šGJ­r  M

(394) K“ G3gyƒ  G$ z‘gvYjƒvYZz KNg3  M

(395) KNO.

(396) M

(397) K“ G3g`ƒ  G gv YjKg*M

(398) ƒ* z‘gvYjƒvYjz Kg  M

(399) KNOm91`Y‚EnG E O G ã KGªƒ  G$OY€ñçGJILGJKƒ„YbM

(400) abg`ŸdD`X”Kܑa"z GJIPM

(401) ƒ„z IPgt¢R . .8<$GJ­r . . œ ì !žP'. — / ì˜ — /‡M

(402) KO.8<

(403) 6¤ì™š›.8/E$˜™G. , *+)  M. / — /. Ÿ 65s~J ¢.  G u z — G u ƒ  G*ILGJabM

(404) ƒ„YZz KNg

(405) . — / œì  œ  — / — /œ”C6ì  œ C — / Ÿ 65s~ ~ ¢ — <Zœ ì œ — < YÅBŸì   ` 9 @ œ œ”Bè A ì Ÿ*œš 0 œ

(406) ¢ — / , ˜™G&M

(407) asgvzíOG ã KG@M™ ILzŒ¡vG3rtƒ„YZz K³ ¢ Ž  Ysr  rtz KNgvYsgvƒLg¤ƒ„zâILGo ”asM rtG@ƒ  G@ NGJIL†¤Xƒ®M

(408) ƒvYZz K — £ ‹ | —u ƒ  G GoIL†¤XƒLM

(409) ƒ„YZz K7.8¤ ‹ | MžTƒ„GJI`Yjƒ  M g — GoGJK@† z

(410) p GlOœƒ„z¤ƒ  GšILYZ“  ƒHz

(411) eM

(412) K/GJ­q ILG3gLgvYjz K E  h XYZpM

(413) aZGoKƒva u  ŽG gvGJƒ`GlhiXNM

(414) aʃ„z ~ M GJIL†XƒLM

(415) ƒvYjz K§z

(416) ¥“$ • M

(417)  GlM

(418) ILYZK“ ƒvz8ƒ  GILYZ“  ƒ;z

(419) ÄM

(420) K&GJ­q ILG3gLgvYjz K E;˜™G$XNgvGšYjƒ*ƒvz GJajYZ† YjKM

(421) ƒ„G*ƒ  Gš NGJIL†¤Xƒ®M

(422) ƒvYZz KNgz

(423) “ | —u ILGJ asM rtYZK“ƒ  GJ†õŽ;Yjƒ  ƒ  z‘gvGšz

(424) ¦“ E ] z IGJ­M

(425) † aZG4 % ¢ Ÿ — | % ¢ìG. | % Ê Ÿ 6s5 ~J ¢ ¢ Ÿ — | % — % • ¢ìG. % • . | % Ê §. K G{rJM

(426) K@p‘YZGJŽ ƒ  Ysgw ILzŒ¡vG3rtƒ„YZz KóM gwƒ  G{ILG3gvXaZƒz

(427) eM rPƒvYZK“ z K — z‘gvz KYbr`ŽyM3p G}TXKNrtƒ„YZz KNg;g u † † GoƒvILYbr  XKNO’GoI¤ NGJIL†¤Xƒ®M

(428) ƒvYZz KNg$YZK¨“ • E  G/GJ­‘ ”ILGlgLgvYZz K³Ÿ  E ‹ ¢$z

(429) {ƒ  @ G ƒ„IPM

(430) KNg¬TGJI †8M

(431) ƒ„ILYZ­ƒ  GJK0ƒ®M

(432) Ü G3g ƒ  G Tz aZajz

(433) ŽyYZK“šTz IL† %  d.  . ~

(434)  H Ÿ 65s~J ¢ d , ©  | ‚02œ Ž  Ysr  ILG3gvXaZƒ®g°TILz † ¢ÊŸœ e ¢‡ì b  ë e/ E YZKNrtG ~ Ÿd ¢{Ybg$YZKpM

(435) ILYsM

(436) Kƒ$XKOGJIgvYj†¤XajƒLM

(437) KGJz XNgš GJI  †X”ƒ®M

(438) ƒvYjz Kg`z

(439) ă  G gv YjKg*M

(440) KNOBƒ  G‡rtz‘z IPOYZKNM

(441) ƒvG3g  M8 ”ILzOXNrtƒ`z

(442) y ILzŒv¡ G3rtƒvYjz KNgªroM

(443) K — GILGJ abM rtGlO —u ƒ  G{ ”ILzŒ¡vG3rPƒvYZz K@z

(444) æƒ  Gš ILzO’XNrtƒoE  GoILGtTz ILG  ŽGšz † Yjƒ;ƒ  G°g u † — z a ¨ ¢ M

(445) KO@gvGoƒ;G3h XNM

(446) a:ƒ„z8z K”G°M

(447) K u GoIL†¤XƒLM

(448) ƒ„YZz K&z

(449) “ • M

(450)  NG3M

(451) ILYZK“8ƒvz/ƒ  G¤ILYj“  ƒ`z

(452) wM

(453) KBGJ­‘ ILG3gLgvYZz K E  hiXNM

(454) ƒ„YZz K¯Ÿ  E  ¢èƒ  GoK™ILG3rJM gvƒ®g YZKƒvzƒ  GªTz IL†ª  . ~

(455)  ¢®Ÿ ~ ' . ~   ¢ '  Ÿ . ~

(456)  ¢LŸ . ~   ¢ H Ÿ‚02€«' .ƒ~R~  ¢ E  Ÿ ~ ' , 0œ €Z, 02œ ¬ | , P)  ‚, 02œ €Z, 02œ” Ÿ 6s5 ~t ¢    ƒ . ~ . .

(457) ~  ƒ . ~  ƒ .

(458) ~  ì E  Ÿ~ ' , ¢LŸ ~ ' , ¢P'  Ÿ , ¢LŸ ¢&HôŸ‚02€«' .ƒ~R~I‚¢  € 2 0  œ    2 0  œ  © | P)  €Z02œ” , 0œ , ~. %­. Ÿ‚"¢íì. ¢ E~ '. . úÅË`º^¾Åµ3¸¼R®D¯‘¸¼LÃú^·Á=°qµJúÅÁ‘½i¼I¯‘¼PÁq½ ¼PÁ

(459) ¹¾/±¶q¼y·

(460) ¶ ¹„µJºÅÁi¼P½ºÅÁm²´³

(461) µ

(462) ¶ .

(463) ] ZY IPgvƒrtz KNgvYsO’GoI$ƒ  G@gvX†ázp GJI d  §G3M r  ƒvGoIL† YjKíƒ  GógvX† Ysg¤M  M

(464) K“  FM

(465) ­‘ƒvGoI¤G3h XNM

(466) ƒvYjz KíTz I M

(467) K ž GJajGJ† GJKƒ®M

(468) I u ƒ„IPM

(469) KNg¬TGJI†8M

(470) ƒvILYj­  ‚Ÿd ¢ì ~ ' ·¸Œ ¹ ž  ŽyYZƒ  M$gv GlrtƒvIPM

(471) a" NM

(472) IPM

(473) † GJƒ„GJIG3h XNM

(474) a"ƒvz‡‚0œE. ‰Dº.  ‡ G G3hiXNM

(475) ajYZƒ u Ybgšƒ  GJILGtTz ILG8gLM

(476) ƒ„Ybg ã G3O —u G3M r  ƒ„GJIL†áYZKNOGJ NGJKNO’GoKƒva u E  GJK  rtz KNgvYbOGJI{ƒ  G/gvX”† ŽyYZƒ » ì}   9NEˆ`gvYZK“ƒ  GšYsO’GoKƒvYjƒvYZGlg

(477) . . R~ ~  . ~

(478)  . ~   ì — /  . ~

(479)  . ~   Ÿ — /  . < ¢ .ƒ~

(480) $.ƒ~I/ .ƒ~R~I£ì — / .ƒ~I£$.ƒ~R3Ÿ — / v.8<ž¢. Ÿ 65s~JŒ ¢. ƒ  G{ILGJ†8M

(481) YZKYjK”“{ƒvGJIL†œgwILG3OXNrtG*ƒvz» Ÿ‚02€B'. ~ ~ — < ¢ Z € 02œI† ‚  02œ6† , ì. ~ ~ ‚  02œ6† €Z02œX† Ÿ‚02€«' , — / ¢. Ÿ 65s~J ¢. z IyG3hiXYjp

(482) M

(483) ajGJKƒ„a u  Ÿ‚02€«'. ,. — / ¢LŸdm02œ  ¢®Ÿ€0œ  ¢0ì Ÿ €0œ  ¢LŸdm0œ  ¢LŸ‚02€B' ,.  YsgªILG3gvXajƒLg}TILz †±G3hEBŸ  E ~ ~ ¢®E  ƒš ILzp G3g`ƒ  G  M

(484) K“  FM

(485) ­qƒ„GJI$G3h XNM

(486) ƒvYZz KòŸ  E  ¢ †8M

(487) ƒ„ILYZ­ “ Yjp GJK§YjK§G3hE`Ÿ  E ‹ ¢LE. — < ¢. Ÿ 65s~ž– ¢. Tz I{ƒ  G ƒ„IPM

(488) Kg¬TGoI. ˜ G/K”zŽõ“ YZp G@M

(489) KîM

(490) ajƒvGJILKNM

(491) ƒ„YZp G@OG3gLrPILYZ ƒvYjz Kíz

(492) *ƒ  G@ƒ„IPM

(493) KNg¬TGJI¤†œM

(494) ƒvILYZ­NE: Goƒ XNg¤† zO’YÅ u ƒ  G ™ OY€ñçGJILGJKƒ„YbM

(495) abgœ YZKƒ„ILzOXNrtG3O YjKŸ  E ~J ¢ M gÄTz ajaZz

(496) Ž=g

(497) . œ¼  G ì œ  0. . — <  , z½P  /  — /30  R — / ìG4 !žP' , I¾P M , z½P M. ˆ;KaZYjÜ Gšƒ  G¿œ  ƒ  G°OY€ñ"GoILGJKƒvYsM

(498) abg. œ ¼ ærtz † . Ÿ 65s~J‹ ¢. †XƒvG — X”ƒƒ  G u Oz Kz ƒyƒvIPM

(499) KNg¬Tz IL†õrtzp

(500) M

(501) ILYsM

(502) Kƒva u XKNO’GoI. ƒ * G GoIL†¤XƒLM

(503) ƒ„YZz KNgHM

(504) K u † z ILG E w G u z — G u ƒ  { G OG ã KYZK“šILGoabM

(505) ƒvYjz KNgHz

(506) M$OGJ“ GJKGJIPM

(507) ƒ„G{MK8KG*_;G3rLÜ G  aj “ G — IPM§ß  Œ

(508) à  @ œ¼  œ¼ BA ì . ] ILz †. C @ — £  œ ¼ A ì ‹ | — £ ‹ | œ¼ 10 œ¼  ‹ | — £  ‹. ~. Ÿ 65s~J ¢. ì . Ÿ 65Ð ¢. ` X '. Y€ÀŸcì  . | ì , ƒ  G3gvG*ILGJabM

(509) ƒ„YZz KNg  z KG{O’GlO’XNrtGlgwƒ  G°rtz † †XƒLM

(510) ƒvYjz K8ILGJabM

(511) ƒ„YZz KNg

(512) . @ — ¤ ‹ |. Ÿd0 œ¼ d ¢LŸ‚0 œ¼  ‹ Œ. | ¢. A.

(513) Ž  Ysr  YZ† a u ƒ  M

(514) ƒ . Á¼ . Ÿ‚ ¢ì.   Ÿd0 œ¼ d ¢ ¬  |. Ÿ 65Ð~ ¢. YbgYZKp

(515) M

(516) ILYsM

(517) KƒHXKNOGJIƒ  G{ GJIL†XƒLM

(518) ƒvYjz KNgHz

(519) ƒ  G$rPzqz IPOYZKNM

(520) ƒ„G3g`Ÿ“ | ¢LE  K¤ƒ„GJIL†èz

(521) "ƒ  G3gvG}O’YÅñ"GJILGoKƒvYsM

(522) abg  ŽG`rJM

(523) KœO’G ã KGyMšƒ„IPM

(524) Kg¬TGoI(†œM

(525) ƒvILYZ­{Ž  Ysr  gLM

(526) ƒvYsg ã Glgæƒ  G  M

(527) K”“ . . FM

(528) ­‘ƒvGJI`GlhiXNM

(529) ƒvYjz K E  ƒyYbg“ YZp GJK —u. d. ¼~. Ÿd ¢ì. .ƒ~ | H E ~ ' .ƒ~ % H

(530)

(531) E ~ ' .ƒ~  H ,T , , ¼ ¼  0 œ | 0 œ 0 œ ¼  %. E~ '. d.  GILYZ“  ƒ  M

(532) KNO&gvYbOG¤z

(533) {Ÿ  E   ¢èYbg*ƒ  G8rtz  ”ILzOXNrtƒ`z

(534) yGJajGJ† GJKƒ®M

(535) I u ƒvIPM

(536) KNg¬TGJI*†8M

(537) ƒ„ILYbrtG3g. Ÿ 65Ð  ¢. ¼ eŽ;Yjƒ . œ ¼ E   GyƒvIPM

(538) KNg¬TGJI†8M

(539) ƒ„ILYZ­ ~ Ÿ‚"¢쨢ʟ ¼ ~ d Ÿd ¢vd ¢ ŽyYZajagLM

(540) ƒ„Ybg¬ u ƒ  G  M

(541) K“  FM

(542) ­‘ƒvGoIHG3h XNM

(543) ƒvYZz K‡Y€"ŽG=rJM

(544) K  ILGJ abM rPG¤ƒ  G‡d ”ILzŒ¡vG3rPƒvYZz K¨z

(545) yƒ  G ILzOXNrtƒ ¼ ~ ¼ ~ —u ƒ  G ILzO’XNrtƒ*z

(546) yƒ  G‡ ”ILzŒ¡vG3rPƒvYZz KNgJE ] z Iªƒ  Ybg ƒvz — G¤ƒ„ILX”G  ¼ ~ M

(547)  aZYjG3O§z K&M — z‘gvz KYbršŽyM3p GªTXKNrtƒvYjz K@†¤XNgvƒ=gvƒvYjaZa — GM — z‘gvz KYbrªŽyM3p GšTXKrPƒvYZz K E d d  h XYZpM

(548) aZGoKƒva u  ŽGš†XNgvƒ  Mžp GD ¢ Ÿ“–d • ¼ ~ ¢ìÊ¢ Ÿ ¼ ~ ¢ Ê Ÿ 6Ð5  ¢ YZKNrtG8ƒ  G/OGJKz † YZKNM

(549) ƒ„z I Á ¼  Ÿd ¢{z

(550)  d ¼ ~ Ÿ‚ ¢°rtz † †XƒvG3gšŽyYZƒ  “ |  Yjƒ gvX6/rtGlg«ƒ„z™g  z

(551) Ž ƒ  G M — zp G*G3hiXNM

(552) ajYZƒ u Tz I;ƒ  G{ ILzOXNrtƒ Á ¼  Ÿ‚"¢ ¼ ~ Ÿ‚ ¢®E  GJK  Ÿ  E  ¢HILG3gvXajƒLgHTILz † ƒ  GšYsOGJKƒvYjƒvYjG3g

(553)  ƒ  GJYjI`gv NG3rtƒ„IPM

(554) a" M

(555) IPM

(556) †‡GJƒvGJIPgHd GlhiXNM

(557) a ƒvz8Td 0. ¢à — £  ‹. œ ¼ `'¿.ƒ~

(558) T¢LŸ‚-0 œ¼  ‹ | '.ƒ~

(559)  ‹ | &¢ ĪìG.8¤ ‹ | ¢ÃLŸ‚-0 œ¼ & '.ƒ~

(560) d¢LŸ‚-0 œ¼  ‹ | '.ƒ~

(561)  ‹ | &¢ Ä0Ÿ 65Ð

(562)  . | Ÿ‚-0. Ž  Ysr  rJM

(563) K — G$g  z

(564) ŽyK8XNgvYZK“8Ÿ  E ~J ¢LE. ] z I{M@gvd †8M

(565) ajaKX† — GJI*z

(566) y M

(567) ILƒ„YbrtajG3g  ŽG  Mžp G p GoILY ã G3O@ƒ  M

(568) ƒT¢ÊŸ. ILG3gLgvYZz K8z

(569) . ~. d. ¼~. ¢. ¢*rtz YjKrPYbOG3gªŽyYZƒ  ƒ  G GJ­ . YZK¨Ÿ  E ~J ¢ÄM

(570) KNO4ŽG°g  M

(571) aja"M gLgvX† G`Yjƒ;Ysgwƒ„ILXGªYjK@ƒ  G`Tz aZajz

(572) ŽyYZK“E. gihÅgihmlPn?o¿y`ÆDs"tvoIqIÇDo&ÈÉÊirDsVp*xkpxoRt h §. KG{XgvXNM

(573) aja u “ GJKGJIPM

(574) ƒ„G3g;ƒ  GrPz KgvGoILp G3O@hiXNM

(575) Kƒ„YZƒ„YZG3g —u †‡G3M

(576) KNgwz

(577) eƒ  G$ƒ„IPM rtGšz

(578) eƒ  G$ƒ„IPM

(579) Kd g¬TGoI. †8M

(580) ƒ„ILYZ­NE w Ybg*OG ã KG3g`h XNM

(581) KƒvYjƒvYZGlg}Ž  Ybr  rtz † †XƒvG$M

(582) †‡z K”“‡ƒ  GJ†8gvGJajp G3g — X”ƒ=K”z ƒ=Ž;Yjƒ  ƒ  G. e SJc E. _;GJILG  YZK‡z IPO’GoIHƒvzgLM

(583) ƒ„Ybg¬ u ƒ  Ybgertz KNOYZƒvYjz K  ŽG=M

(584) ILG`ajG3O¤ƒvz$ƒ®M

(585) Ü G`ƒ  G*h XNM

(586) KƒvX†èOGJƒ„GJIL† YZKNM

(587) KƒeM gƒ  G “ GJKGJIPM

(588) ƒ„YZK“«TXKNrtƒ„YZz K E  ƒ;Ysgw“ Yjp GJK —u ß  

(589) à ß 

(590) à ß  Œ

(591) à. d. œmËIÌRÍ. d. Ÿ‚"¢0ì.  Ÿ*:¢ | KÎ Ô Ÿd00ŸZ¡T0 DÎ Ï4Ð"ÑÓÒ. . d. ~ ¢ ¢ . ,. d % Î Ž Ÿ‚00Ÿj¡‚0.

(592) ‡ ÎIÑ ,.  ¢ ¢. Ÿ‚ ¢. Ÿ 65Ð Œ ¢.

(593) M

(594) KNO4ƒ  G°_`M

(595) † YjaZƒvz KYsM

(596) Kƒ.  G ã IPgvƒƒŽz¤Kz K  ƒ„ILYZp‘YbM

(597) aƒ„GJIL†8g ILzOXNrtG*ƒ  Gš†‡z † GJKƒ„X”†. d. œ=ËzÌ Í. ~. Ÿ‚"¢0ì.  ' ,  '  , E    "!$# '  Ÿ  0 ~ ¢ H %   , |  # ' %  Ÿ* 0 '  , • E   ' Ÿ 0 ~ ¢  

(598)  !L3 ` | , ,. ~ ®¢ Ÿ . 0.  ¢. H '

(599)

(600) . Ÿ 65Ð  ¢. d  z‡rtz † XƒvG{ƒ  G$h XNM

(601) KƒvX†öOGJƒvGJIL†‡YZKNM

(602) KƒHz

(603) . Ÿd ¢Yjƒ;G3M gvYjGJI ã IPgvƒƒ„z8GJpM

(604) aZXNM

(605) ƒvG{ƒ  G$OGJƒ„GJIL† Y . KNM

(606) Kƒz

(607) ƒ  G{XK” ILzŒ¡vG3rtƒ„G3O ƒvIPM

(608) KNd g¬TGJIy†8M

(609) ƒvILYj­@d Ÿ  E   ¢LE  ƒyYbgG3h XM

(610) a ƒvz‡ƒ  G* ”ILzOXNrtƒ;z

(611) ôƒ  G°hiXNM

(612) Kƒ„X”†. ¼ ÊOG. OGJƒvGoIL† YZKNM

(613) KĨgHz

(614) ÊG3M r  dM rPƒvz I. ã KYZK“. d. œmËIÌ{Í ¼ Ž  GoILG. Á¼ . Á¼ . . Ÿd ¢ÄM

(615) KNOœYsgw“ Yjp GJK —u. Á ¼  Ÿ‚‚' Á ¼  Ÿ‚"¢ ,. Ÿ‚"¢(ì. ¢. Ÿ 65Ðq– ¢. Ÿd ¢*Ysg$O’G ã KG3O™YjKïŸ  E ~ ¢®E  GoK  M

(616) IL“ XYjK”“óM g«YjKƒ  G8abM gvƒ$gvGlrtƒvYjz K  ŽG8rJM

(617) K¯d ILGJ abM rtG. Á . Ÿ‚ ¢ —u YjƒLg ILz¡vGlrtƒvYjz K  G&rPzqGz4rtYZGJKƒLgmÕ. z GoIPM

(618) ƒvz IPg

(619) . ‡. Ÿ‚ ¢eYZK¨Ÿ  E q– ¢0ƒvz z — ƒ®M

(620) YZK§ƒ  G$h XM

(621) KƒvX†õOGJƒvGoIL† YZKNM

(622) Kƒez

(623) . . ì. Ÿ 65Ð ‹ ¢ ¢.  !`ž . '}.-/3¢ Ÿ 102$

(624)  3¢ % C ×½V ,C , C C      C C  C Õ•`ì  !`ž&

(625)  !$#Œ !&Ø' % Ÿ102

(626) ž ¢®Ÿ

(627) 302 ¢LŸ 02‚¢ Ÿ.8<v.ƒ 02.ƒ .8/3¢ k½?I½ , C 'îŸ  4›  Ÿ '}. < ¢Q 6!&Ø ¯ ' r u rtaZYsrª NGJIL†¤Xƒ®M

(628) ƒvYZz KNgv¢ Ÿ 02 ¢ % , , Õ %. . ì. Ÿd ¢®E. Ÿd ¢‡OG ã KG@Mrtz † aZGoƒvG&gvGJƒ8z

(629) °rtz † †XƒvYZK“.  ¢ÊŸ œ¼  Ô œ¼ 

(630) œ¼  Ñ Ž  Ô ½ Ö/Ö/Ö/½P Ñ ILGJG°rtz‘Gz/rtYjGJKƒLgyM

(631) ILG*“ YZp GJK —u .  G ã IPgvƒƒ  | ì. Á . z

(632) {ƒ  G& z a u Kz † YsM

(633) a. Õ ‡. Õ. ¼.  !`ž&

(634)  !$#3'. Ÿ. Ÿ 65Ð ¢. ˜  GoK4ƒ  GJILG`YbgKzgv ”YjK8OGJ GoKOGJKNrtG°Ÿ¬¦ÄM

(635) aZz “ GJILz v Xƒ  GJILasM

(636) KNOš† zOGJaT¢  ŽG  Mžp Gyp GJILY ã G3O¤ƒ  M

(637) ƒƒ  G GJ­‘ ILG3gLgvYZz K¤Tz I. Á . Ÿ‚"¢YbgHG3h XNM

(638) a"ƒvzƒ  G*OGJƒ„GJIL† YZKNM

(639) KƒÄOG ã K”GlO¤YZK¨ß q–3à EH_yz

(640) ŽGJp GJI  ƒ  G*GJpM

(641) ajXM

(642) ƒ„YZz K. z

(643) ƒ  G°OGJƒvGJIL†‡YZKNM

(644) Kƒ*ß q–3à Ybg†Xr  G3M gvYZGoI;ƒ  M

(645) K/ƒ  Gšz KG{z

(646)  rtz KNgvƒLM

(647) Kƒ. ,. Á. Ÿ‚"¢eM

(648) KNO§g  z

(649) Ž=gHƒ  M

(650) ƒyƒ  G$rtz X aZYjK“. GJKƒvGJIPgHƒ  G°rtz KNgvGJILp G3O8h XM

(651) KƒvYZƒ„YZG3gp‘YbM¤ƒ  G°rtz † — YjKNM

(652) ƒvYZz K –. Ÿ. , ,. '. ~ ¢LE.

(653) ] YZKNM

(654) aZa u  ja GJƒ XNg OYbgLrtXNgLg¤ƒ  @ G IPM

(655) ƒvYZz KNM

(656) ayaZYj† YZƒz

(657) {ƒ  G@ ILG3rtGJG3OYjK”“¨ILG3gvXaZƒLgJE  šŽG&gvGoƒ=

(658) ™ì GJ­‘  ŸLÙ   ¢ÄM

(659) KO ja GJƒÚÙ&“ zƒvz ¥JGoILz  ƒ  G$_`M

(660) †‡YZaZƒ„z KYbM

(661) K — G3rPz † G3g

(662) .   .   F ì 0  d K@z IPOGJI;ƒ„z8ILG3M r . Ÿ. 6Û # ¢ % ' . |. Ÿ. < ' ¢ , *+)  Ÿ  Ü 0  ž¢, %. e. ƒ  YbgaZYZ†‡YZƒ  ŽG$KGJG3O§ƒ„z ILG3gLrJM

(663) ajGœ$M

(664) KNO SJc M

(665) aj“ G — IPM¤OGJ“ GoK”GoIPM

(666) ƒvG3gƒvz?. @. d KBƒ . d. d. SJc m&Þ A  ì J d e ß M

(667) ƒ*rJM gvG  ƒ  G¤ƒ„IPM rtG3gZb. e SJc E. S. e SoS. d. c¬m. Ÿ 65Ð ¢. —u ô Ù E˜  GJKÝÙ&“ zqGlg}ƒ„z8¥JGJILz  ƒ  G. , d. Œe S

(668) ‹àÞ ß 02J S Þ Œe m‹àc ß. Ÿ 65Ð ~ ¢. OG ã K”G{ƒ  Grtz KNgvGJILp G3O@h XNM

(669) KƒvYjƒvYjG3g`Ž  Ybr  rtz † †XƒvG{Ž;Yjƒ  ƒ  G. gihkáDhÀâxkrvãDÆDs?rDä©x£tIrDpxkÆDs>Æ`upLn?o¿y`ÆDs6tvozqIÇDo&ÈÉ

(670) Ê6rDs?pxkpxoRt :"GJƒ$XNgšz — ƒ®M

(671) YZK  GJILG8ƒ  G8GJYZ“ GoKpM

(672) aZXG3gšz

(673)  Á Ÿ‚"¢LE § XI$† GJƒ  zO™Ybg ã IPgvƒšƒ„z™OYbM

(674) “ z KNM

(675) ajYbgvGƒ  G OY€ñçGJILGJKƒ„YbM

(676) abg œ ¼  E  Kíƒ  Ysg«ŽyM u ŽG ã KNOƒ  G§GJYj“ GJKp G3rPƒvz IPgšz

(677)  Á ¼ Ÿd ¢®E YZKNrtG Á ¼ Ÿd ¢*Ysg¤YZKpM

(678) ILYsM

(679) Kƒ XKNO’GoIZ“•  ŽG‡rJM

(680) K¨g u †‡† GJƒvILYsgvGšƒ  GlgvG¤GJYj“ GJKp G3rPƒvz IPg;ŽyYZƒ  ILG3gv NG3rtƒ*ƒvz/ƒ  Ggv YZK¨M

(681) KNOBrtz‘z IPOYZKNM

(682) ƒvG GoIL†¤XƒLM

(683) ƒ„YZz KNgªƒ„zBz — ƒ®M

(684) YZKíƒ  G4GoYZ“ GJKp Glrtƒvz IPgšz

(685)  Á Ÿ‚"¢`ŽyYZƒ  ƒ  G/gLM

(686) † G GoYZ“ GJKpM

(687) ajX”G E  K¯z IPO’GoI$ƒvz Ozƒ  Ybg  YZƒ8Ysg4rPz Kp GJKYZGJKƒ¤ƒ„zí†8M

(688) Ü GóMⓑM

(689) X“ G@ƒvIPM

(690) KNg¬Tz IL†8M

(691) ƒ„YZz KíŽ  Ybr  M

(692) † z XKƒLgƒvz0gvX — gvƒvYjƒvXƒvG  !`ž?0 · b và)  !`!`žž ‹ !L!L## Tz 3 I  !`žôGJp GJI u Ž  GJILG E_;GJILG3MžTƒ„GJI  ŽG`YZKNOYbroM

(693) ƒvGyŽ;Yjƒ  š M ILYj† Gƒ  G*“‘M

(694) X“ G3O º % ƒvIPM

(695) KNg¬Tz IL† GlO4h XNM

(696) KƒvYjƒvYjG3gJE w G*“‘M

(697) X“ Gšƒ„IPM

(698) Kg¬Tz IL†‡G3O OY€ñçGJILGJKƒ„YbM

(699) abg œ ¼ „ ƒ®M

(700) Ü G*ƒ  ª G Tz ajaZz

(701) ŽyYZK“$Tz IL†Ý. œ ¼ „  ì  !`žP' ,.  ' ~. 0  † '  / Ÿ — /30 , I¾P M. ~ ¢ 0. . , I½+ M. R„Ÿ — <30. ~ ¢. Ÿ 65Ð  ¢.  oG YZI8M rtƒ„YZz K0ajG3Mžp G3gƒ  G&gv NM rtG@z

(702) * z a u Kz † sY M

(703) abg¤YjK`YZKp

(704) M

(705) ILYsM

(706) KƒJE0˜™G&rPz KgvYsOGJI¤ƒ  G — M gvYsg¤z

(707)  † z Kz † YsM

(708) abg

(709)  å3æ Ÿ 65Ð. ¢ e

(710) ç Ÿ |  %

(711)

(712)

(713) v   (¢ ìG |eDÔ  % e Ž

(714)  eŒè Ž  GoILG8ßéf à Ybg`M gvGlhiXGJKNrtG$z

(715) e C z‘gvYjƒvYjp GšYZKƒvGJ“ GJIPgJE  z8M8gvG3h XGJKNrtG8ß´f à‚ ŽG°M gLgvzrtYsM

(716) ƒvG$ƒ  G$ NM

(717) ILƒ„YZƒvYjz K Yêf(Y‘Ž  GoILGªŽG°M

(718) ILIPM

(719) K“ Gªƒ   G f YZK&OG3rtILG3M gvYjK“¤z IPOGJI3E˜™G$OG ã KG{M

(720) K@z IPOGJI;z K/C ƒ  G$ NC M

(721) ILƒvYjƒvYZz KNg —u gLM u YZK“ ƒ  M

(722) m ƒ Y f(YYbgyabM

(723) IL“ GJI`ƒ  M

(724) ë K Y f „ YYÅHƒ  G ã IPgvƒyK”z K&pM

(725) KYbg  YZK“8OY€ñçGJILGJKNrt¿ G f 0>f „ Ysg; z‘gvYjƒvYZp G E ¼  ƒ;Tz aZajz

(726) Ž=gÄTILz †öƒ  G$gLM

(727) †‡G$M

(728) IL“ X† GJKƒyM gyå3 æ ß ~ž–3àC ƒ  M

(729) ƒ=ƒ  GOY€ñ"GoILGJKƒvYsM

(730) abg œ „ M

(731) ILGšILGJ ILG3gvGoKƒvG3O —u YZK¯ — aZzr\܇ƒvILYbM

(732) K“ XabM

(733) I†œM

(734) ƒvILYbrPG3gwYjK§ƒ  G — M gvYbg Ÿ  ¢LEe‰`M

(735) † GJa u . å3æ. œ ¼ „

(736) e ç Ÿ. C. e

(737) ç. ¢ì. æ æ å3æ C  Ÿì6[¢  e ç e

(738) ç e  ç Ÿ e ‹. ¢. Ÿ 65Ð

(739)  ¢.

(740) ŽyYZƒ . œ ¼ „. —. æ æ Ÿì6‚¢  e ç e

(741) ç. ì. Y€Y f „ Y‘Ybg`abM

(742) IL“ GJIyƒ  M

(743) KYêf(YÐE  GoILGtTz ILG  ƒ  G$GoYZ“ GJKpM

(744) ajX”Glg;z

(745) eƒ  GOY€ñ"GoILGJKƒvYsM

(746) abg. M

(747) ILG“ Yjp GJK —u ƒ  G;Goæ YZ“ GJæ KpM

(748) ajX”Glgæz

(749) çƒ  G — aZzrLܚ†8M

(750) ƒ„ILYbrtG3gÊz K ƒ  G`OYbM

(751) “ z KNM

(752) adEÓ:"GJƒXgertz KNgvYbOGJIgvXNr . M — aZzrLÜÜì1 í e í ì. à Ÿì6‚¢ e  ç e ´ ç Ä ŽyYZƒ  êY f(Y‘M ã ­‘G3O§ NM

(753) ILƒvYZƒ„YZz K}Yêf(Y ì Ÿ*f |Bî f % î

(754)

(755) î f  ¢LE  K@ƒ  M gvYbgZY f ÎKÔ f Î

(756)

(757)

(758) v f Î èðï  ƒ  Gì  í e í ƒ®M

(759) Ü Gšƒ  G`Tz ajaZz

(760) ŽyYZK“$Tz IL†Ý Ž ì í e í Y f ÎKÔ

(761)

(762) K f Î

(763) è˜ï ì E f Î ž1' Ÿ   ' ~ 0  '  S /0  S R¬¢*HYêf ÎvÔ

(764)

(765)

(766) f Î èñï Ÿ 65Ð Œ I¾P z½P ,. Ž  GoILGªƒ  G. S /{M

(767) ILG{O’G ã. KG3O —u. G. ¢. . S /òY

(768)

(769) v f Î ž

(770)

(771) K f Î #

(772)

(773) ï ì. ôêõó. 0‚Y

(774)

(775) f Î ž

(776)

(777)

(778) f. Y

(779)

(780) v f Î #

(781)

(782)

(783)

(784) f. Î #

Références

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