M. Sc. PHYSICS DEPARTMENT OF PHYSICS BANARAS HINDU UNIVERSITY 297 . Semesterwise distributi ! " Courses #!d Credits SEMESTER $ I COURSE TITLE CREDITS MPC&'01: MATHEMATICA% PHYSICS 4 MPC&'02: COMPUTATIONAL PHYSICS 3 MPC&'03: -UANTUM MECHANICS&I 4 MPC&'04: SEMICONDUCTOR DEVICES. INTEGRATED CIRCUITS AND COMMUNICATIONS 3 MPME&'('0) BASIC CONCEPTS IN PHYSICS) SMA%L TO %AR/E SYSTEMS 3 MP%&'(') ELECTRONICS %ABORATORY 4 OR MP%&'(+) /ENERA% PHYSICS & OPTICS %ABORATORY 4 MP%&'(,) COMPUTATIONAL PHYSICS AND PRO/RAMMIN/ %ABORATORY 2 * Not "or M.Sc. P23sics stude!ts SEMETER – II MPC&+01: CLASSICAL E%ECTRODYNAMICS AND PLASMA PHYSICS * MPC&+02: ATOMIC. MO%ECU%AR PHYSICS AND LASERS 3 MPC&+03: ELEMENTS OF SO%ID STATE PHYSICS 3 MPC&+04: ELEMENTS NUC%EAR PHYSICS 3 MPME&+(1: APP%IED RADIATION PHYSICS 3 MP%&+(+) /ENERA% PHYSICS & OPTICS %ABORATORY 4 OR MP%&+(') ELECTRONICS %ABORATORY 4 MP%&+(,) COMPUTATIONAL PHYSICS AND PRO/RAMMIN/ LABORATORY 2 SEMESTER & III COURSE TITLE CREDITS MPC$,(') STATISTICA% MECHANICS I 4 MPC$,(+) -UANTUM MECHANICS II 3 MPS$,('4A5) ANA%O/ COMMUNICATION SYSTEMS 4 MPS$,01(B)) NUC%EAR PHYSICS:INTERACTIONS 1 MODE%S 4 MPS&,('4C): VIBRATIONA% & ROTATIONA% MO%ECU%AR SPECTROSCOPY 4 MPS&,('4D5) SO%ID STATE PHYSICS) CRYSTALLO/RAPHY AND IMPERFECTIONS IN CRYSTALS 4 MPME&,(1: E6PERIMENTA% TECHNI-UES FOR ANA%YTICA% STUDIES 3 MPE&,(') P%ASMA PHYSICS AND SPACE PHYSICS 3 MPE&,(+) %ASERS AND %ASER APPLICATIONS 3 MPE–303: CHARACTERIZATION OF SOLIDS 3 MPE–304: MO%ECU%AR BIOPHYSICS 3 MPE–308) METHODS IN THEORETICAL PHYSICS 3 MPE&,(9) INSTRUMENTATION IN NUC%EAR PHYSICS 3 MPE&,(:) SOLAR ENER/Y. HYDRO/EN ENER/Y AND OTHER RENEWAB%E ENER/IES 3 MP%&,('4A5: ELECTRONICS %ABORATORY 6 MP%&,('4B): NUCEAR PHYSICS LABORATORY 6 MP%&,('4C5: SPECTROSCOPY %ABORATORY 6 MP%&,('4D5: SO%ID STATE PHYSICS %ABORATORY 6 SEMESTER – IV COURSE TITLE CREDITS 298 . MPC&*01: STATISTICA% MECHANICS II 3 MPS&*('4A): DI/ITAL COMMUNICTION SYSTEMS 4 MPS&*('4B5) PARTIC%E PHYSICS 4 MPS&*('4C5)MO%ECULAR ORBITAL THEORY & ELECTRONICS SPECTRA OF MOLECU%ES 4 MPS&*('4D5) SO%ID STATE PHYSICS) SOLID SURAFACES & PROPERTIES 4 MPS&*(+4A): MICROPROSCESSORS AND INTERFACIN/ 4 MPS&*(+4B5) WEA< INTERACTIONS 1 E%ECTROWEA< UNIFICATION 4 MPS&*(+4C 5) PRINCIP%ES & INSTRUMENTATION IN CONVENTIONAL 1 %ASER SPECTROSCOPY 4 MPS&*(+4D): SO%ID STATE PHYSICS) MANY PARTICLE SYSTEMS * MPE&*(') E6PERIMENTA% TECHNI-UES 1 INSTRUMENTATION IN ATOMIC. MO%ECU%AR 1 OPTICA% PHYSICS 3 MPE–40+) NANOSCIENCE AND TECHNOLO/Y 3 MPE&*(,) PHYSICS OF E%ECTRONIC MATERIA%S & DEVICES 3 MPE&*(*) SATE%LITE COMMUNICATION & REMOTE SENIN/ 3 MPE&*(8) -UANTUM FIELD THEORY)PATH INTEGRAL APPROACH 3 MPE&*(9) LI-UID CRYSTA% 3 MPE&*(:) COMPUTATIONAL METHODS IN PHYSICS 3 MP%&*('4A5: ELECTRONICS %ABORATORY 6 MP%&*('4B): NUC%EAR PHYSICS %ABORATORY 6 MP%&*('4C5: SPECTROSCOPY %ABORATORY 6 MP%&*('4D5: SO%ID STATE PHYSICS %ABORATORY 6 MPD&*01: DISSERTATION 2 SUMMARY OF M.Sc. SYLLABUS IN PHYSICS Semester No. of Papers Cre !ts """""""""""""""""""""""""""""""""""""""""" """"""""""""""""""""""""""""""""""""""""-- #heory Pract!ca& #ota& #$eor% Pract!ca& #ota& I ' 2 7 17 ) 2* II ' 2 7 16 6 22 III ' ( ) (7 6 2* IV , ( ' (, 6 2- .!ssertat!o/ 2 #ota& 190 ) 25 ), 2, 9- .!ssertat!on MINOR 1L1C#I+1S2 SEMESTER) PAPER NO. AND TITLE CREDITS I MPM1"(-(2 BASIC CONCEP#S IN PHYSICS2 SMALL #O LAR31 SYS#1MS * II MPM1"2012 APPLI1. RA.IA#ION PHYSICS 3 III MPM1"*-(2 14P1RIM1N#AL #1CHNIQU1S FOR ANALY#ICAL S#U.IES * 299 . SEMESTER $ I MPC&'01: MATHEMATICA% PHYSICS Credits) * Theor3 " Fu!cti !s " a C m=>e? Variab>e) A/a&%t!c!t% and Cauc$%"Re!ma/n Co/ !t!ons7 Ca6c$%8s !nte9ra& t$eorem and form6&a7 #a%&or8s ser!es a/d Laure/t8s ser!es expans!o/7 ;eros and s!/96&ar points7 M6&t!<a&ued f6nct!o/s7 Branc$ Po!/ts and Cuts7 Re!ma// Sheets and s6rfaces7 Res! 6es7 Cauc$%8s Res!due theorem7 =or an’s Lemma> 1<a&6at!on of ef!/!te !nte9ra&s7 Pr!nc!pa& +a&ue7 Brom?!tc$ conto6r !/te9ra&s. Fourier #!d %#=>ace Tr#!s"orms) Four!er transform7 S!ne7 Cos!ne a/d Comple: tra/sforms ?!t$ examp&es7 .efi/!t!on7 Propert!es a/d Representat!o/s of .!rac .e&ta Funct!on7 Propert!es of Fourier #ransforms7 #ra/sforms of er!vat!ves7 Parse<a&8s #$eorem7 Co/<o&ut!on #heorem7 Momentum representat!on7 Appl!cat!o/s to Part!a& !fferent!a& e@uat!o/s7 .!screte Fourier tra/sform7 I/troduct!on to Fast Fourier tra/sform7 Laplace transform7 Propert!es and e:amp&es of Lap&ace #ransform7 Convolut!o/ t$eorem a/ !ts app&!cat!ons7 Lap&ace tra/sform met$od of so&<!/9 !ffere/t!a& equat!o/s. /rou= T2eor3: Concept of a 9roup Aa !t!ve and m6&t!p&!cat!<eB7 Matri: represe/tat!on of a group, Re 6c!C&e and !rreduc!aC&e representat!on of a 9ro6p7#he 3reat Orthogona&!t% #$eorem Reference Books2 1. Mathemat!ca& Met$o s for P$%s!c!sts2 ArfDe/. 2. Mathemat!cs for P$%s!c!sts a/d 1/9!/eers2 P!pes. 3. Mathemat!ca& Met$od of P$%s!cs 3$ataD. 4. Mathemat!ca& Met$o s for P$%s!cs2 E%&e. 5. Mathemat!ca& Met$o s !n P$%s!ca& Sc!e/ces2 Boas. ). 3roup #heor%2 E!9ner MPC&'02: COMPUTATIONA% PHYSICS AND PRO/RAMMIN/ Credits) 3 Fortr#!) F&ow c$arts7 A&9or!thms7 Integer and float!/g po!/t arithmet!c7 Prec!s!o/7 +ariaC&e t%pes7 Arithmet!c statements7 I/p6t a/ output stateme/ts7 Contro& stateme/ts7 1xecutaC&e and non"e:ec6taC&e stateme/ts7 Arra%s7 Repet!t!ve a/d &o9!ca& structures7 S6brout!nes and funct!ons7 Operat!on ?!th f!&es7 Operat!/9 s%stems7 Creat!on of e:ecutaC&e programs. Numeric#> Met2ods " A!#>3sis) So&6t!on of a&9eCra!c a/ tra/sce/de/ta& equat!o/s2 Iterat!<e7 C!sect!on and Ne?to/"Raphson met$ods7 Solut!on of s!m6&taneous &!near e@6at!o/s2 Matr!x !/<ers!on met$od, I/terpo&at!o/2 Ne?to/ a/ Lagra/9e form6&as7 Numer!ca& !fferent!at!on7 Numerica& Inte9rat!on, #rapeFoi a&7 S!mpson and 3a6ss!an @6adrat6re methods7 Least"s@6are cur<e fitt!/97 Stra!9ht &!ne and po&%nom!a& f!ts7 Numer!ca& so&ut!on of ord!nar% !ffere/t!a& e@uat!o/s2 16&er a/ R6/9e"Gutta met$o s. Simu>ati !) 3enerat!on of 6/!form&% !str!C6ted ra/dom !/te9ers7 Stat!st!ca& tests of ra/ omness7 Monte"Carlo e<a&6at!on of !/te9ra&s a/ error ana&%s!s7 Non"6/!form probaC!&!t% !striCut!ons7 Importa/ce sampl!/97 ReHect!on method, Metropo&!s a&gor!t$m7 Mo&ec6&ar !ffus!on and Brow/!an mot!on as ra/dom ?a&D proC&ems and t$e!r Monte" Car&o s!m6&at!on. Reference Books2 1. Computat!ona& Metho s !/ P$%s!cs a/ 1/9!/eer!/92 Eong. 2. Computer Or!ented N6merica& Met$o s2 RaHarama/. 3. Computer Pro9ramm!/9 !/ FORTRAN 772 RaHaraman. 4. App&!ed N6merica& Ana&%s!s2 3era& . 5. A 36! e to Monte Car&o S!m6&at!ons !/ Stat!st!ca& P$%s!cs2 Landau and B!nder. 6. N6merica& Rec!pes2 #euko&sD%7 +etter&!/9 a/d F&anner%. *-- . MPC&'03: -UANTUM MECHANICS $I Credits) * Li!e#r Vector #!d Re=rese!tati ! T2e r3) L!/ear <ector space7 .!rac notat!o/s of Bra - Get /otat!on, Matri: representat!on of ObservaC&es a/d states7 .eterm!nat!on of e!9e/<a&ues a/d e!9e/state for observaC&es 6s!/9 matri: represe/tat!ons7 Change of representat!on a/ 6/!tar% tra/sformat!ons7 Coor !nate a/d moment6m represe/tat!ons7 1quat!ons of mot!on !n Schroe !nger a/d He!se/berg pictures. Theor3 " A!gu>#r M me!tum) S%mmetr%7 !/var!ance a/d co/ser<at!on &a?s7 re&at!on Cet?ee/ rotat!on a/d a/96&ar momentum7 commutat!on r6&es7 Matr!: representat!o/s7 a !t!on of a/96&ar momenta a/ C&eCsc$"3ordon coeffic!ents7 Pa6&! spin matr!ces. /ree!As Fu!cti !s) 3ree/8s funct!on method of sol<!/9 !/homo9eneo6s !ffere/t!a& e@uat!o/s7 Bo6/dar% Co/ !t!ons7 Appl!cat!on to O/e" !me/s!ona& problems. Scatteri!g T2eor3) .!fferent!a& a/ tota& Scatter!/9 cross"sect!o/s &a?s7 part!a& ?ave ana&%s!s and appl!cat!on to s!mp&e cases> I/te9ra& form of scatter!/g e@6at!o/7 Born approx!mat!on <a&! !t% and s!mp&e appl!cat!o/s. A==r ?im#ti ! Met2 ds) #!me"!ndepe/ ent Pert6rbat!on t$eor% A/on-de9enerate a/d de9e/erateB a/d appl!cat!ons to f!/e struct6re spl!tt!/97 ;eeman effect ANorma& and a/oma&ousB7 StarD effect7 a/d ot$er s!mple cases7 +ariat!ona& met$od a/d appl!cat!ons to he&!um atom a/ s!mple cases> EGB approx!mat!on a/ app&!cat!o/s to s!mp&e cases. #!me" depe/ e/t Perturbat!on theor%7 Ferm!’s 3o& e/ r6&e7 Sem!"c&ass!ca& t$eor% of !nteract!on of atoms ?!t$ ra !at!on.