J. J. Sakurai - Modern Quantum Mechanies PDF
Preview J. J. Sakurai - Modern Quantum Mechanies
Modern Quantum Mechanics J. J. Sakurai Oreo O12 0 0 Ye og6 Revised Edition Modern Quantum Mechanics Revised Edition J. Sd. Sakurai Lane, Gniceiy of Cabra, Lae Amgen San Fu Tuan, Editor nicer of Hawai, Manoa Pad Addison-Wesley Publishing Company Reading, Massuchcts» Menlo Par, Calon New York, ‘Don Mil, Ontario » Wokingham. England » Amsterdam » Bonn ‘Spey «Singapote «Tokyo adi» San Juan» Milan « Pans Spoasoring Flee: Stuatt W. Tango tcitanr Fito. Tenifer Dgenn Senior Production Coordinatic: Anny Siew ‘Manatacturing Manger: Roy Login Ley of Cann Cablgg ent Dat Saas 1..an Jin), 988 102 acini to Minh ep arn an ea rd Foreword 1. Sakurai waratuays 9 wey welcome guns eee at CFRN. for he was one ff choos rave choose eo hors the smpevimenal fais are even anare interesting than dhe theoretical guns il, Nevavthlex, He deliahid in ‘sorercal physics and ia its tachiag, «subject on which he bed scoag fpinions, He cheaghe that riuch thoorsisal physics feaching mas BO tor Basten and top rentte feo application: "6 sce puter 9 sophist nied. yet wnoducited, deoretisians who are ouveraot atthe LS2 dr ruaise ofthe Lisenberg sd operators. but de net laow why sn exited stom tudlates, of are jguoraat of the quantum. thesretie derivation of Rayleigh’ te dat accoors forthe Bleaess of the sky” Ad he insisted ‘hu he sient mut be oe fo use wl bus bee tpl: “he reer bu his mel the Book bos enn othe eeaaes is lpr mong "He pul thse pening in in Be hook Adhere Gln: Mechanics (8987) aul in Iawirians Prinapler aed Klanetary Parle (1968) oth of whic have hoon very ana win the CERN libeay. This few book, Modien Quintin Atenas, should We tabs even ave, ya Jargce and lest <peisized group. The hook oomnines breach af incret sth a thorough practically. (i reagers il ns Rere sat dey aed te lenow, with 9. auetuined and aucconfletfor to male i incite, 41, Sakina sudden death on Novamer 2. 1982 Isft this book nfinished. Rsinhold fertioaan and 1 Ralpod Mrs. Sakurai tor aut her husband's papers at CERN. Amoag thom! feud a rough, handsitten senion of ost ofthe hook and altgeecllzcon af exercises. Though 0 tee eapters ha bean completly finshed. ic was cleat char ths hl ofthe jereutve work hid buen dane twas also cle tha noch sok remained 19 (Glin as, polish de wen, und pur the aroacrip x der “That the hook is any Gish i duc eo che dexeeninaten. of Nev Sokusai and *he dedication nf San Fu Tuao. Upon bor husband's dct Mrs, Subarat resolv iniaediaely cht his lst core sould mot Eo 10 ‘east. With great courage ad digaty she bocume the eivangLorcebebiod the projec. overcomang ull chstatles sod seurg the bigh strnls 1m be ‘auontnine. S L T singly gave bay Lite emery the ing tral sannpletion of Sakura work, Meshogs vie others she teste Feb ul fogheenenpy shnstcd isin ean Filly apostate the sais solv For me pervnally, ha ings eon for ante than ast particu “any distinguished cellagas. 1 Saddeos me that we Wik. never again laugh ‘gether ac pyres ant pljiciss aad life in gence, and that he ll not the neces a ht let wor, But am Eappy thr ic hz bee rg 4 iuiten, foto 8, fei CRN Ge Preface to the Revised Edition Since 1989 the Lidar hus eoustially pursued a revel euiea uf “Modern Quantum Meche by hi ae great rien} T- Sakai ood Ueto Ths tas wveflnes ito the Twent-frt Seary Much ge sullen taok ple wih ho nel of Sata Fiends wha helped wih the ‘vigital cin, hut in particular with Profexsor Veauo Hara of Teukubs University and Professor Alin Sakura sf Kyoto Sungya University in Jopin. the majar motivation for ths projet isto revise the oman txt ere are tee portant addons anor changes te reise en, sshich otherwibe preseres the urgill versog uncuonged. These wlale 8 reverking of certain purlioas uf Setion 5.2 nn meiadependent pe torbation theory Sorte degenerale wave by Penfoscor Kenneth Tekneon af MILT. king in acoue ase point theca na sen propery tated iby & number nf coe on quantum mechanics inthis sounty. Professor ‘ager Nemon af Tasiana Unisersy eancthute refinements on fein, broadening in Stark effect, additonal explorations of phase shifts at res. nares, Re aptieal theorem, and on nen-noemulzable stute. Thess AppeaT 2s remarks by the edn” ur "editors mute inthe reasel edition. Peo fessor Thomas Folton ul the Jebus Llopkios Uaieersityrewor hy Co Sob Setering esainbution (Section 7.13) af that i wea apne a sorter Teal puttin enyhasaing the physics, wih he mathem el deta relegate t Spent “Though nt majoy pat nthe text, nme afdions were docimed nocestary # take inte account develaprens in quanto mecherics hat Ihave hecoine prominent since November 1, THK. To thie ond, 50 sup plements are included ut che end ofthe tex. Supplement 1b oa slabalic ‘hange aad geometrical phase (popularized by M. V. Berry sve 1983) fod is actually ou Loglisfrashtion of the supplewex on thin ject wrilea by Profesor kip Saku fo the Tapancse visi of Moder Gresnim Mevtue(eyyright © Yeahiok-Shoren Pulishing af Kota) Suppisment Tl ion non-eaponsnial decays writen by my ellsiue bere, Professor Keres Tata, ard ceed er by Profesw F.C. G. Sudarshan af !e Universi of Texas at Austin. Though nor-expanential decay hare a long history thoarciclly, experimental work on tanstion rales tbat ess ingecily such decays was done only ia 1850. Introduction ul adibunal material y uf course a subjective matter oa bbe purl uf the Bsitoe: he eaters will exe for Uemnelvr ty appruprstenes, Thank. fr Pry fessor Akin Saktra the eevised etion Bac Doch “nel teetheomes™ fir mgprine iors of the fist ten pintings nf the niginal edition. My ‘ollagus. Protest Sandip Pakvasa. provided avcrall guidance and en ‘ourugement 19 me throughout tis process of resin, 4n edltion to the ueknuledement above. my former students Li in, Shy Nachos, al Yaruaus Sueake pvvided te soul bese fon ies onthe reviaed iin hen taking ny erie cpsmlary ene lei aurea the Cnverity Hawai ning Tho sprig of 1982 Sesh evi th iil translation from Japanese af Suppemnent Ta anaes term papee. Di. Andy Acker previded me with camputer graphic aie tunes! Tae Department of Pheses and Astronomy and partially the High Energy Physics Group af the University of Hamalat Manoa provided agnin butt the facies on conducive atmosphere for me tu ery ut fy eikodal tsk. ually H wish 20 expres amy rattude 1 Pbyses (and SFeomoding) Sear Loe, Slut Dotnet sal bn Esienal Assia, Temiter Dugim, x6 well Senior Preluction Conan Any Wille, ‘af Raion Woes or lbee easoorageaienl ad pins thal Ih revival sition wil indeed sane San Fe THAN Honolal, Howat Jed, Saunt ELA In Memoriam Jun Jobin Seine was bora in 1133 ia Tokyo aud cnoe tothe Unica Saves few gh sobool student in 1), Le stdied ae Harvard and a Core Snhece he eon Ais PRL. in 1958. le as then appoini sits profistcr of Pies at the Lively of Cheng, a Beene fl folio in 1864, He sagt at Chips ati IT when he meced i the aise nf Cation at Tax Angeles. hors he sce wc his eth During his ifstins he wrt 19 alin on thoottial piss of siemens particles as well + sural bovks ant meaegraphe on both quant abd Panis thoes "The discipline of theoctical physis has as is prasipal air the fexrnalaion of tneestza dseipcions ofthe phyee woe tae ure ut nce coueise and somprehonsis Beceose oature iy subtle and comple, cae [pursuit of cheoedeal pies runes Bold and enthuse veutnes te the Froutors of newly discovered shenorena. This an afca sn which Salaza reigned supreme with his uncanoy phssicul insur and mtsdon anu also his ubilty to explain chess phatomsnu in Uuminating phssical ces to sar ‘osopnisticaeds One fas Butt rea hs very Ii tebooks Erie Preps ond Liemewary Porites upd aivaiced Quantum Mecbaris 38 ‘vel us bis neon aad snes achoolLevtres Ta appreciate thy bio, ‘aggre Ceunld sae hal eich of wat T cil eerste i pirtile Phos came rw the sido histo ral pasate toring ‘When Sakucas aay st gradnac stdsut. 2s proposed wha: i ae suse ae the VA theory of aie inlerations independent ok (and Saleancoualy_ wiih Richaed Feyaman, Muiae Gell-Mann, Robeit “Masthak, and Genre Sadarshan. Jn 196 he published in Ant of Pe, 4 prophetic paper, peshably is sngls mae impestant one. Iwas canecrnsd ity the Ret scious atterapé to construct a tory oF stony lateractons bosed ou Abslian and nox-Apcian (Vare-Wils) gxuys anvianse. This smu) work induoed theo to artsmpt a understand othe foe ‘aims of mse geueration for gauge (oct es. now eeabze asthe Tae tmoctaniema, Above allt snilatd the sou for a redsieunieutioo © forest under the eiuye prindiple. now crowned sith success the ce ‘heated Glusbow- Weinberg Sum wnileston of weak snd etctromugoetc Teress, On the phenumenogical sda, Saker porsved wml vigorously sxhoeitod the vector mesune dence mstel of tadram Upaanics He wa ‘he inl Le dctos the rag of @ ata ete sles Hole, hp ae rine raparant wxnahitions ur pale phen amnion a ouch raore general sense, ot Ri heart sae asap clots to experimental TLhwes Jun Joba for more chan 25 yews und J hu the gsitest ‘ufnivation 301 eal Lue amemense poser a 4 Uenetal phi Bul ilo ee the war aa generis ae spi Hough 9 cia waders Trimolf a1 Coral rng 19¥2T948, be leokete r use nering "ssearch in Kenas'2on spoon slat hep me fa extensive se fnemdenesp with nny PRD, teats on the asi subject a1 Beso. To Sandip Pakvasa an | sete privilege lo be associated sith ons of bis Tat pups cn weak couplings of hese quarks which displayed ones rove his {utoctows and incite sie of ding psi It is of course gratifying to ut retrospect that Jun Joke counted this paps amoag the wore of his published voce ct he pactiulaly ened, ‘Te physics eoraunity suffer a great lass a1 Fun Juho Subura’s eatb, ‘The pemooal serve of lee Sd severe one for mee. Hence Fam, proteus eka! for te egpurtueay tu tsa euch Sa Moders Quentene Meche for pullicition. tn ay ith we greater {Bt canbe given ans than dm partum ree a ve Tun John ehsnugh wicaningfl serie, Contents Foreword Preface fa Sonia FUNDAMENTAL CONCEPTS LL ‘he Stern-Ucelach Experiment 12 Rau, Bras aul Operators 1-4 Base Reis and Mauris Representations Ta Measurcnents, Obtrvabls and ths Laesrsinty Relations TS Changser Basie 1 Posen, Momnsntn, and Tronslaon LF Wave Functions m Postion und Moments Spice Prohleni QUANTUM bynawnes, 1 Lune Evolution aul the asntinges Pywation 2 the Sehwilingie Ver the arg tans 3 Simple Ranieri Chelate A Schealnges Wee Fae: $$ Protaras! Feynman Pat Tosa A Peneatial sl Cage Pnsformatins Probes PLRORS OF ANGULAR MOMENTUM 1 uated Angie Menneubuny Cammalaioe Relations 2 Spi 1/2 Sysunn an Finite Rovations 3. $003), $U@), aa Kuler Rotations 4 Deaaly Operitor sad Pune Versiy Mized Faseal 45 Ligsovaloes and Higenstaes of Ampular Momentust 26 Orbuil Angola Mumencim, A? Aditi of Angular Moments 1S Schwinger’ Ovllutve Model ut Angular Morneau 19 Spin Conlation Measorements aa hal Treaity S¢-Teviur Opera, Peabo SYMMETRY IN QUANTUM MECHANICS 41. Symmetries, Conservation Laws, and Degenerares 42 Diseete Symmetries, Pais, or Space Invern 43 Lottie Irunslaton aya Diccete Semmetry 44 Ihe Lime-Revetl Dieaete Srametrs Problems
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