
saankhyikiya kshetra siddhant

saiddhaantik bhautiki mein, saankhyikiya kshetra siddhant (aiss. aff. tii.) ack saiddhaantik dhancha haye joe charan parivartanon kaa varnan kartaa haye. yeh ack ekal siddhant koo naheen darshaata haye, lekin chumbakatva, atichaalaktaa, atipravaahita, topological charan sankraman, aardrata key saath-saath gair-santulan charan sankraman sahit kaee models koo shamil kartaa haye. aiss. aff. tii. saankhyikiya yantriki mein koee bhee model haye jahan swatantrata kii degree mein ack kshetra yaa kshetra shamil hotey hain. dusare shabdon mein, pranali key sookshmasthaitikta koo kshetra vinyas key madhyam seey vyakt kiya jaataa haye. yeh quantum kshetra siddhant seey nikatata seey sambandhit haye, joe kshetron key quantum yantriki kaa varnan kartaa haye, aur isake saath kaee takneekon koo saajha kartaa haye, jaise kii path abhinn sutrikaran aur punarakraman.
yadi pranali mein polymer shamil hain, tou ise polymer kshetra siddhant key roop mein bhee jaanaa jaataa haye.
vaastav mein, minkowski sthaan seey euclidean sthaan taka ack wick rotation karke, saankhyikiya kshetra siddhant key kaee parinamon koo seedhe isake quantum samkaksh parr lagu kiya jaa sakata haye. saankhyikiya kshetra siddhant key sahsambandh karyon koo schwinger kaary kahaa jaataa haye, aur unake gunon koo austerwalder-scredder swayamsiddh dwara varnit kiya jaataa haye.
saankhyikiya kshetra siddhanton kaa vyaapak roop seey bahulak bhautiki yaa jaivbhautiki mein pranaliyon kaa varnan karane key liye upayog kiya jaataa haye, jaise kii bahulak film, nanostructured block coppolymer yaa polyelectrolytes.

