
ack valay mein kann

quantum yantriki mein, ack ayami valay mein ack kann kaa mamla ack boxes mein kann key samaan hotaa haye. ack mukt kann key liye schroedinger sameekaran joe ack valay taka seemit haye (takniki roop seey, jiska vinyas sthaan vritt sootra _ 1 haye) haye
tarang falan.
trijya r key 1-ayami valay parr dhruviya nirdeshank kaa upayog karate hue, tarang falan kewal koniya nirdeshank parr nirbhar kartaa haye, aur isaliye
yeh aavashyak haye kii tarang falan sootra 4 mein aavadhik roop seey ack avadhi sootra 5 key saath hoe (iss maang seey kii tarang falan vritt parr ekal-moolya vaale kaary houn), aur way samanya honey seey sthitiyaan hoti hain.
aur
inn sthitiyon key tahat, schroedinger sameekaran kaa samadhan iss prakaar diyaa jaataa haye -
oorjaa igenvalue.
oorjaa igenvalue sootra _ 9 aavadhik seema sthitiyon key kaaran matratmak hain, aur unhein santusht karane key liye aavashyak hain.
igen function aur igen energy hain
isaliye, sootra _ 15 (sootra _ 16 key anuroop) key pratyek moolya key liye dou apakshayi quantum avasthaaen hain. isaliye, "n" sankhya dwara anukramit oorjaa taka oorjaa key saath 2 "n" + 1 avasthaaen hain.
ack ayami valay mein ack kann kaa mamla ack nirdeshaatmak udaaharan haye jaba naabhik kii parikrama karane vaale ack electron key liye koniya samveg key matratmakkaran kaa adhyayan kiya jaataa haye. usa mamle mein azimuthal tarang kaary ack valay parr kann key oorjaa igen kaary key samaan hotey hain.
yeh kathan kii ack valay parr kann key liye kissy bhee tarang falan koo oorjaa eigenfunctions key superposition key roop mein likhaa jaa sakata haye, ack forier shrinkhala mein kissy bhee aavadhik falan key vikas key baare mein forier pramey key samaan haye.
iss saral model kaa upayog benzene jaise kuchh valay anuon key anumaanit oorjaa staron koo khojane key liye kiya jaa sakata haye.
aavedan.
carbonic rasayan vigyaan mein, sugandhit yaugikon mein paramanu valay hotey hain, jaise kii benzene valay (kekul sanrachana) jisamen paanch yaa chhah, aamtaur parr carbon, paramanu hotey hain. buckyball" (buckminsterfullarin) kii satah bhee aisee hii haye. yeh valay ack golakar tarang-path kii tarah vyavhaar kartaa haye, jisamen sanyojakta electron donon dishaaon mein parikrama karate hain. n taka key sabhi oorjaa staron koo bharane key liye sootra _ 17 electrons kii aavashyakta hoti haye, kyonki electrons key paas unake spin key atirikt dou sambhaavit abhivinyas hotey hain. yeh asadharan sthirata ("sugandhit") detaa haye, aur ise huckle key niyam key roop mein jaanaa jaataa haye.
aage rotational spectroscopy mein iss model kaa upayog rotational oorjaa staron key anuman key roop mein kiya jaa sakata haye.

