Atkins & de Paula, Physical Chemistry 8e, Chapter 8: Quantum Theory: Introduction and Principles Discussion Questions, Exercises and Problems

 

 Otigns & hl Zouko, Zfysgbok _uontum tflery4 gntrehubtgen Zfysgbok Bflmgstry 6l, Bfoptlr 64 _uontum onh prgnbgpkls Hgsbussgen qulstgens, lxlrbgsls onh pre`klms Xepgb 3O Xfl ergcgns ea quontum mlbfongbs Hgsbussgen qulstgens  _3O.? Lxpkogn tfl mlongnc onh summorgzl tfl benslqulnbls benslqulnbls ea wovl-portgbkl huokgty _3O.0 Rummorgzl tfl lvghlnbl tfot klh te tfl gntrehubtgen ea quontum mlbfongbs.

ONR4 O subblssauk tflery ea `kobi-`ehy rohgotgen must `l o`kl te lxpkogn tfl lnlrcy hlnsgty hgstrg`utgen ea tfl rohgotgen os o aunbtgen ea wovlklnctf, gn portgbukor, tfl e`slrvlh hrep te zlre os ι ←:.

Bkossgbok tflery prlhgbts tfl eppesgtl. Fewlvlr, ga wl ossuml, os hgh Zkonbi, tfot tfl lnlrcy ea

tfl esbgkkoters tfot benstgtutl lklbtremo lklbtremocnltgb cnltgb rohgotgen orl quontgzlh obberhgnc te tfl rlkotgen L = nfν = nfb/ι nfb/ι wflrl tfl quontum num`lr n bon lquok zlre er ony pesgtgvl gntlclr, wl sll tfot ot sfert wovlklnctfs tfl lnlrcy ea tfl esbgkkoters gs vlry korcl. Xfgs lnlrcy gs tee korcl aer tfl wokks te suppky gt, se tfl sfert-wovlklnctf esbgkkoters rlmogn unlxbgtlh. Xfl laalbt ea quontgzotgen gs te rlhubl tfl bentrg`utgen te tfl tetok lnlrcy lmgttlh `y tfl `kobi-`ehy arem tfl fgcf-lnlrcy sfert-wovlklnctf esbgkkoters, aer tfly bonnet `l suaagbglntky lxbgtlh wgtf tfl lnlrcy ovogko`kl. _3O.2 Lxpkogn few Zkonbi‗s gntrehubtgen ea quontgzotgen obbeuntlh aer tfl preplrtgls ea `kobi -`ehy `kobi -`ehy

rohgotgen. _3O.8 Lxpkogn few Lgnstlgn‗s Lgnstlgn‗s   gntrehubtgen ea quontgzotgen obbeuntlh aer tfl preplrtgls ea flot

bopobgtgls ot kew tlmplroturls. tlmplroturls. ONR4 @y wovl-portgbkl huokgty wl mlon tfot gn seml lxplrgmlnts on lntgty `lfovls os o wovl wfgkl gn etflr lxplrgmlnts tfl soml lntgty `lfovls os o portgbkl. Lklbtremocnltgb rohgotgen `lfovls os o wovl gn rlaklbtgen onh rlarobtgen lxplrgmlnts `ut gt `lfovls os portgbukotl pfetens gn o`serptgen onh lmgssgen splbtresbepy.. Lklbtrens `lfovl os wovls gn hgaarobtgen lxplrgmlnts `ut os portgbkls gn tfl pfetelklbtrg splbtresbepy pfetelklbtrgbb laalbt. Benslqulnbls ea wovl ‒   portgbkl huokgty gnbkuhl tfl quontgzotgen ea ovogko`kl lnlrcgls aer smokk smokk aunhomlntok portgbkls kgil lklbtrens, otems, onh meklbukls. Onetflr benslqulnbl gs tfl gmpessg`gkgty ea sgmuktonleusky splbgaygnc wgtf unkgmgtlh prlbgsgen tfl vokuls ea tfl bempklmlntory e`slrvo`kls

EVAEPH F g c f l r

© Exaerh \ngvlrsgty Zrlss, 0::1. Okk rgcfts rlslrvlh.  

L h u b o t g e n 

 

 Otigns & hl Zouko, Zfysgbok _uontum tflery4 gntrehubtgen Zfysgbok Bflmgstry 6l, Bfoptlr 64 _uontum onh prgnbgpkls Hgsbussgen qulstgens, lxlrbgsls onh pre`klms  pesgtgen onh memlntum. memlntum. Kgilwgsl, Kgilwgsl, tfl vokuls ea lnlrcy onh tfl tgml ea on on lvlnt ebburrlnbl ebburrlnbl bonnet bonnet `l sgmuktonleusky mlosurlh wgtf unkgmgtlh prlbgsgen. Sovl-portgbkl huokgty bousls tfl muktgpkglh unblrtogntgls ea bempklmlntory bempklmlntory e`slrvo`kls, subf os x onh px er L onh t, t , te `l crlotlr tfon, er lquok te,

℅/0 (g.l., tfl Flgsln`lrc unblrtognty unblrtognty prgnbgpkl ea lqns 3B.?2o onh 3B.?3). _uontum tflery sfews tfot,  `lbousl ea wovl- portgbkl  portgbkl huokgty, huokgty, gt gs nlblssory nlblssory te splbgay tfl wovlaunbtgen wovlaunbtgen φ ea ea aunhomlntok aunhomlntok por tgbkls tgbkls onh te usl tfl tlnlts, eatln bokklh pestukotls (tlxt 3B.8), ea quontum mlbfongbs te gntlrprlt tflgr  `lfovger onh e`slrvo`kl e`slrvo`kl preplrtgls. preplrtgls. Numlrgbok lxlrbgsls  3O.?o O ckew-werm ea moss