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w aJ cho m^t i f thuylt aiCu thiii^ roilt M^a t h ^ thao f
tucmg oua Kaluae «» Klela«
Culi cuni,:, ohi-mig i l l cue l u | a IK dl c^^ ..cu i f thuylt
Kduaa - l a i n l a i f thuylt oo a*li l l f n quan oh§t oho w l i f
A) Vi phfffi theo tn^da t l i tiUcu t l o l a vi p h ^ mk phIn
La^3wmeien pha va aicu d l i x&r^ la to hOtto trua^ng v6 h\s^xiQ thanh phLi«


a^ 9 •
thuylt ai4u d l i x5n^ va hign nay iuy nhien xihuqfo dilu ou^ olo i f thuylt l^aluaa «• i l a i n l a
ttiilu cao hi^u &ic d^o ti-ujig cilp ei^o m§t liim cau o*p t l i i l t
iSi kl&i t r a tfrih dua^i d&i cue no. \l i f do nay trong ohutmg

l i i ohufie t o i gi-fi thifu olo kiln thue oo* aci* oua i f tiiuyft
f^alusa » ^.lein vo ap d^jng ^ acet Ci§t eS qu& tArdi ainh hedron
troiic t n w i g dii^x; tu aij:oai i chuy'n hoa gj'uviton thanh hadron
va photon tUanh badrona dv&a^ tSi jT^S <^ t^^ ^^-^ ^x2u t h &
oi^ t i l t di§n tan xe eux^^ nhu d&tit ^ i mo oult ainh hMron
trone tnaoifjc hqfp t&»g quit va m^t eo truxm£ hqfp gic/i hen#
iihi trlnJi bay lu§n on nay
trong dl v ^ tlo anh oixic va d§
hhz^i dbn v4 I 0 ^^ i< « 1, tan x
dlag ( t , • ^ a. , • )» aa;ni£; toi

chuag t c i a^ d^i^; h{ dem vJ
dai ^ l&uiok ohia oho 2 71
3 laotric oo d^ng kl u ^ «
cung qui mv x*ang

3^ » -«^™"«^ va oao chi so l§i> 1 ^ bi *u t i 4 P^^P xlj" ting
theo ohur^^a '
d o k i t qua troag l u | n ia da d i ^ trl^xh bly t$i cac
aiK^iinar eua b§ mdn vf thuylt khoa V|t i f tvimie, ^-^ h^m *^lng
h^i ..a u§i» oua *runii titffi -^"It i f i f thuylt Vifn I'Ohoa bq^ vi^t
i«ia£u va t f i olo h^i n0:i% v^t i f i f thuylt toarx qu^c limm n^**
Cac k i t qua do '.'^isqo th&ig bao tron^j olo o&ng t r l r ^ ouu dc^y i
1# Do ^^oii^ ivhatg iia uuy oang c on ooaforr^uilly covarii»nt
aquatlona of oiotion idLth non * v^iniaiiing maea» i^ota* i ath*
viat# Vol U , iioa (iK^fe) 57#
2* Ha Huy aang t rfnh sifiu h m tx^uy^n troiig i f tljuyct
adlEu d l i xung b4 vi ph^jnj blag ptmms phlp phiua hwi, A,'fp chi ^
y§t i f Aii0 iia3 (1,^7) i^0#
3» iia auy >ans i i;W; nhlt t^^tSa »NBNI •• l^cahaol-xl trong

i f thuylt alSu dui jofce ^^4 vi j^l^^^ * ^ odf V^t i f i u l , S#4
(1i>e7)24t
4* aoeng .1&»0 i^ong» ilm ^uy xaag i ISy airxh OJ^C hadron
trong t i w n g difa tu nt^ai tz-on^; i f tiiuylt iilp dan t^ r^rct
r(|p oiif * | t i f ^ i l t s»3 (li-re) >


• 10 ••

5« lik ilujT ^^mc I vl av til mnuin hoa mMu liMM«ffp ch£ Khoa hqm trvrn^. Dfi h90 *li5S bqjp Ha Hgi. Sa2 (l.^C)1^a
6* Ha Huy inaaig t ^*<KM a{>plioationB of tho fu::^tlon£il
integral fi^tliod fear auparfielda, ^ho uiinual ooofora^ioo of
faculty of £ftatha£;iatioa« * ar«oi univarsity UM> i .^ota Ihyoa
i^i«3 (gik d^mh
7« ila (luy Jang i Du tha aajaoptotioolly frae bairxaviour
of tho ouperayi^^aatrio tuaory azsd Callaxx«^yi^anaik oqu«)tion»
Acta Hi^aa PolaB (^nSi d^ng).
6« 11a lluy i>ang t Xha ranorc::.olizabllity aM the aaym-*
p t o t i c a l l y frao behaviour of the axtondad Waaa ^ ^unlno
ioodela» ^'^ota* rhya# rol« x^ ( ^ do^^i^)*
9a iia Huy l^ang i 2he auparpropa^ator i n tha i-diraonoioixs
frois Guparay6ffiiat2*y, n^ota -ath» Vi@t« (^ d&ig)*


^ 11 i^

2iIEP alKR COKPCHttI CUA
CiiC PiiUOi* rkiliH fHUOM
irihom conform da d u ^ n h i l u nha v^t i f xa&i nhu l o SH§t

kha nSng toii^; quit hoa i^i^ Poinoare » 02^^ d l i meng oua
i f t h u y l t tiatynfc d l i d§o b i ^ t v l xio co w t h i a5i b | t 1 do
l a nhoca t&nz q u i t n n i t giu 1 ^ non IxJi alng bat bifn ding
t h a i l a vhom nua d;nx co cliitu ti:;lu nlxlt ohiS» lohom 1 olnoara*
Bo nhoci tmy ohw phap b i l n d l i t£ l g n€a no klo theo olo gia
t r 4 k h i i luifug litin tyo* X%k v|y nh& oonforts kLon^ phai l a
la^t nhom d l i xmig t o t cr n&a^ luqfng t h i p ohum t r a thanh quan
t l ^ g ^ n&n^ Ixxpi^, rit oao khi ma olo khIi It^r^c mixi co th^
bo qua* i^i^oai kna nSne w r§ng iihaa Foinoara de tliUiiii rihoiu
oonfox^t t a oon co thefiiti^r$ng ^pinor n h ^ Poincara dc dan
t c ^ i f tiuiylt aiCu d l i Jcing k i t hsjfp duiq*o oao hf t boaon va
faxtuioxx vao troxxg our^g Bi$t ei^Su da tuyln« Do do rdi&:i alclu
oonfccm i a kt^t qua oufe »\f s^ r^ii^ diaag tijol j*ho^ PoixxO£*re
t i ^ o o l hoi hv3i^xi4^ trmx da dxffgo i-4^in e*iu n h i l u trorig: vui
n ^ qua*
'Trong ox;uo^i^ nay ohung t d i wm mt t / n h hi^p b i l n
Loranta va confona ouu d o phianig tr?jih tru&ng* Vi§o n^^fin
ciru tix3h hi§p b i l n coixfona oue olo ph\j^nc t r l n h txn^oi^^ 00
l i e n quan din nhung wx^ d}jxii, dku tifin cua jraxoi^ coxxform trozig
v§t i f h9C va da 00 ia§t l | o h e-a phat t r i * n luu dai tir diu
t h i ky AAg qua o l c th;i^p ky dtn rUxirn^ n t o t>n day / " j ; ^ , 62,
^ » : 7 ^ a f ^ o vol d o t a c gia triaJo iir3£# 62, 6£\J^ ohuixg
t S i C^bJ
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hifp b i l n oonforoa ou^ d o phiayn^ trlxah troio^nga • ! nhim ts^o
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nhft v? i f t h u y l t t i w n c b i t td.ln conform v l aifiu confor»#

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b i l a d l i khSut,: ^ tliol ^*in bao j^t«i t
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- 13 -

phap u i l n d£i
b i l u diSn oua
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biSa (b^t blfii) c^i w i d^jl e^ coiiform.
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l&£l tffil K 0^ t h i Viet du^i dfiv- t^'Ofc; q«»t efi»u Z'-Sil'J'
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cCoi. t h i u (£#5?) cixo phlp

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•» 19 •
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&t dang dtbi r a d o odn^ thic ting q d t oua d o iiam 2^ 3 di<^
oho d o tnioiag va ai^^u truD*ng oung nlxxr t h ^ iA^ phi tuyIn

nixo© conl'or© i|f*^t> 4i2| ^2j^#

ljgay£n i f tuuTig d l i iiixxatein doi d i d o d|nli l u ^ t t\r
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quin t6xbt vt v|y olo phtacmg t r l n h ohuytn d^nc oho d o t z i i ^ ^


< ^ pb&l Ui|p biln d l i v<?i p d p biln d l i l4>rante»
Ta hay x l t hf| pbxmm t r l n h b|o nhlt oua tiwx^^ ^

mi

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h i | p b i l n tutm^ d l i tfrix 1

I4lu ki§n nay 00 tb^ tich tx^tnh olo diKx ki§n cixo l^ t

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Gil mi khOng gian H m bit!u ditn t —> ^(t»x) t i c d^^ng
trong do pMn tfoh thanb ting t r ^ t i l p oui^ d o khdn^ gian
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Trong kbfiixg gian oon K '^ ta hay ohotx oa aa ^ I T i
lu
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thanh cc? ac> oua khdng gian H«
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V«?i c ^"^' l*x ol phrn? tuy ft chi khac 0 khi T , - r '
d o vuo nlxau*
cle oSng thuo (3*1^) * (>«20} ohtA toen b^ nf::hi^& au«
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t ^ B h Idrao o^ . « o - ® . ^ ' - .<-1/S. 3/2) ^ , ( 1 / 2 , 3 / 2 ) j j
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oho h^t vo hwng d u « ;.^^»^^ ©J^^»*'^ 1© kh6ne ^%P ^i^n
tixm^ d l i t^nh» ^Ic vf dy icdo oua phuoTic t r l n h hi^p bllxx
tucrng d l i t£t^ la phuvn^. trlnh iuffin«i;«M«ar oho hft vao to'
d i3 « :i^<*»^J © ^(U2) IJ ;^^*^»^i^ phutrxit; trlxxh x^a^orune vd
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Ti^ng phlLa nay ohilrxg t6i C^ -J e« auy ra dieu ki§n
0 ^ va du ^% ai§t phucrag trlnJx txwn^ d d<^g ( #1) la h i | p
biln confora b^^g p d p bilsx dui : •
Co* m cua phuc^ng phc^ mk ohm^, t 6 i d dy:;^; lu c/ ohSt
d o h§ tIxi?o (2«,46) « (^•4f') oh&x^s to ta d th* duj^-g p d p
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cmx tfxxh hifp biln confon^i mmx cie phuo^Xi* txlx&^x txwng •
Fhmmg pi[iip au* d^^ng p d p biln doi
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pbip im Koteoky va lilederle Z*t4'# ^ ^ • iudiixi /T^^S
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dufig khi nghiCn ouu vin dc my» i . ^ oi^t ciwx£ tSi d t h i
auy ra ngay ohilu t i li l^
oua trywag <^ phai blng
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(3ti7). (:#ie)t

Q i J ^ tdi oung g i l tliiet Gxwt 2f*^'^J^» C^'^J 3?Sng qua
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1!hay (3 #1^2), (3#25) vao Omb)

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/^

^ ' ^ f ( - ^ ) . s ( - ~ ^ ) + ii(x)L^ f ( - ^ ) at
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dfRfc- oh»o iviiui (blook di«igo»al), sU^t bj^,» vi?i uiuu i:i.^,n