
somerfeld aidantitti

somerfeld aidantitti oru ganithashaasthra identityaanu, kaaranam arnold somerfeld, tharamgangalude prachaarana sidhaanthathil upayogikkunnu. 
evide
avibhaajyaghadakathinte samyojanavum paridhi soothravaakyathil athu aprathyakshamaakunnathum urappaakkunnathin positteev riyal bhagavumaayi edukkanam.
ivide, formula 5 ennathu uthbhavasthaanathuninnulla dooramaanu, athesamayam formula 6 ennathu formula 7 silindar coordinate systethilennapole oru silindarinte kendra akshatthil ninnulla dooramaanu. ivide bezel functionukalkulla notteshan jarmman kanvenshan pinthudarunnu, ithu somerfeld upayogicha yadhaartha notteshanumaayi poruthappedunnu. function formula _ 8 aadya tharatthilulla siroth-oordar bezel functionaanu, ithu engleesh saahithyathile notteshan formula _ 9 aanu kooduthal ariyappedunnathu.
eee identitye somerfeld aidantitti ennu vilikkunnu.
badal notteshanil, silindar-symmetric tharamgangalude kaaryatthil oru golaakrithiyilulla tharamgatthinte vipuleekaranamaayi somerfeld identitye kooduthal eluppathil kaanaan kazhiyum
evide
ivide upayogikkunna notteshan vyathyasthamaaya roopamaanu formula _ 6 ippol uthbhavasthaanathuninnulla dooravum formula _ 13 ennathu formula _ 14 aayi nirvachikkapetta oru silindar coordinate sisttathile radial dooravumaanu. bhauthika vyaakhyaanam oru golaakrithiyilulla tharamgathe formula _ 13 dishayilulla silindar tharamgangalude sangrahamaayi vikasippikkaan kazhiyum, formula _ 16 dishayilulla iruvashathumulla playin tharamgathaal gunikkam; jacoby-enchar vipuleekaranam kaanuka. ellah tharamgasamkhyakalude soothravaakyavum _ 17 enna sangraham ettedukkanam.
somerfeld aidantitti silindar samamithiyulla dvimaana forrier parivarthanavumaayi adutha bandhamullathaan, i.iii., hankel parivartthanam. inn-playin kordinettukaliloode (formula _ 18, formula _ 19, allengil formula _ 13, formula _ 21) golaakrithiyilulla tharamgathe parivartthanam cheythaanu ithu kandethunnathu, pakshe uyara coordinate formula _ 16-ll parivartthanam cheiyunnilla. 

