
dirac-voonn neuman soothravaakyangal

ganithashaasthra bhauthikashaasthrathil, dirac-voonn neuman soothravaakyangal hilbert speysile oopparettarmaarude adisthaanathil kwaandam mekkaaniksinte ganitha soothravaakyam nalkunnu. 1930ll pooll dirac 1932ll joonn voonn neuman chernnaanu iva avatharippichathu.
hilbert space formulation.
space formula _ 1 ennathu ennaavunna ananthamaaya alavilulla oru nischitha sankeernamaaya hilbert spaceaanu.
oopparettar beejaganita roopeekaranam.
dirac-voonn neuman soothravaakyangal sii *-aljibrayude adisthaanathil inipparayunna reethiyil roopappeduthaam.
udaaharanam.
sii *-aljibra oru hilbert space formula _ 1 leeii ellah bounded oopparettarmaarudeyum beejaganithamaanengil, bounded obsarvettabilukal formula _ 1 leeii bounded selph-adjayint oopparettarmaar maathramaan. formula _ 17 formula _ 1 nte yoonit vektaraanenkil formula _ 19 ennathu sii *-algibrayile oru avasthayaanu, athaayath yoonit vektarukal (scaler gunanam vare) sisttathinte avastha nalkunnu. ithu diraakkinte kwaandam mekkaaniksinte roopeekaranathinu samaanamaan, ennirunnaalum dirac paridhiyillaattha oopparettarmaare anuvadikkukayum svayam-adjayint, hermissian oopparettarmaar thammil vyakthamaayi verthirichariyukayum cheythilla.

