VIKRAN/ UNIVERSITY, UJJAIN

Faculty of Science

M. Sc. (Physics) I Semester

Scheme of Exanrination and Courses of

Studies lncluding Recommended Books

for the Examination of year

2018-19 and onwards

1

EXAMINATION IN THE FACTJLTY OF' SCIENCE

MASTER OF SCIENCE

SCHEME AND COURSE

PHYSICS

M. Sc. Examination

M. Sc. I Semester fi-om July to Decernber

Theory

Paper I (101): Mathematical phvsiu;

Paper II ( 102): Statistical Mechanics

Paper III (103): Quantum Mechanics-I

Paper IV (104): Electrodynarnics and

Plasma physics

Practical

Electrical

Total

50 Marks (40+10CCE)

50 Marks (40+l0CCE)

50 Marks (40+lOCCE)

50 Marks (40+l0CCE)

100 Marks

300 Marks

2

M. Sc. I SemesterPaper I - 101 [Mathematical phvsicsl

Unit-IVector Spaces and Matrices: Vector Spaces: Base. Dirnension" Inner product space"Linear transformations, Matrices; Inverse. Orthogonal and Unitary matrices.Independent elements of a matrix. Irigen values and eigenvectors, Diagonalisation of amatrix, Con-rplete Orthogonal sets of functions.

Unit-IIDifferential Equations and Special Functions: Second order linear OrdinarlDifferential Equations with variable coefficients: Solution by series expansion:Legendre, Bessel, Herrnite and Lagurre equations: Generating iunctions; Recur,sionrelations. Physicai Applications: Solving orle dimensional harmonic oscillator:Schr<idinger equation and Hydrogen atom" Schro.dinger equation with Lagurreequation.

Unit-IIIIntegral Transforms: Integral transfonn; Laplace transfbnn; Inverse LT by partialfiactions; Solution of initial value problerns by LT.

Unit-IVFourier Series and Fourier Transform: Fourier series: F'S of arbitrary period: Ilalf--wave expansions; Partial sums; Fourier integral and transfblps; FT of delta functio,:Solution of time dependent problerns by FT.

Text snd Reference Booksl. G. Arfken: Mathernatical Methods fbr Physics (Academic press, INC. (London)Lrd.)

2. A. W. Joshi: Matrices and Tensors in Physics (Wiley Eastern Ltd, New Delhi)3' E' Kreyszig: Advanced Engineering Mathernatics (Wiley Eastern Ltd, New Delhi)4. E. D. Rainville: Special Functions (The Macmillan Cornpany. Newyork)5. W. W. Bell: Special Functions (Dover publication Inc.)6' K.F. Reily, M.P. Hobson and S.J. Bence: Mathernatical Methods for phvsicists andEngineers (Carnbridge Universit-v- press)

7.Mary L Boas: Mathernatics for physicists (John Wiley & Sons)

5

M. Sc. I SemesterPaper II - 102 [Statistical Mechanicsl

Unit-IFoundations of Statistical Mechanics; Specification of states of a syste,r, Statisticalinterpretation of the basic thermodynamic variables,'Classical ideal gas, Entropy ofrnixing and Gibb's paradox.

Unit-IIMicrocanonical ensembles, Phase space, Trajectories and density of states. Liouville,stheorem, Canonical and Grand canonical ensernbles, Partition function, Calculation ofstatistical quantities: Energy and Density fluctuations.

Unit-IIIDensity tnatrix, Statistics of ensernbles. Statistics of indistinguishable part_cles:Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein statistics, properties of ideal Bose andFenni gases,Bose-Einstein condensation.

Unit-IVCorrelation of space-time dependent fluctuations. Fluctuations and transportphenomena; Brownian motion; Langevin theory. Fluctuation dissipation theorem. TheFokker-Plank equation.

Text ond Reference Booksl. F. Reif: Fundamentals of Statistioal and Thermal ph1,slg5 (Mcgraw,_Hill Series)2. K. Huang: Statistical Mechanics (Wiley eastern Ltd.)3. R. K. Patharia: Statisticar Mechanics (pergamon press;4' R' Kubo: Statistical Mechanics (North-Holland Publishing Company, AmsterdamLandon)5. Landau and Lifshitz: Statistical physics (Flcrsar.*<]rr ilrt::ss. t )xli:rrl)6' ts'B' Laud: Fundarnentals trf Statistical Mechanics (Nerv Age InternationalPublisher)

4

M. Sc. I SemesterPaper III - 103 [Quantum Mechanics-Il

Unit-IInadequacy of classical mechanics, Schrodinger equation, Continuity equation.Ehrenfest theorern, Admissible wave function. Stationarl, states.One_dirnensionalproblems, Wells and barriers, Hannonic oscillator by Schrodinger and by operatormethod.

Unit-IIUncertainty relation of x and p, States with uncertainty product. General fblnalisur ofwave mechanics, Cotnmutation relations, Represeniuiion of states and dynagicalvariables, Cornpleteness of eigen 1-unctions, Dirac-delta function. Bra and Ketnotation, Matrix representation of an operator. [Jnitary transtbrrnation.

Unit-IIIAngular tnotnentum in QM, Central force problern.. solution of Schrcidinger equationfor spherically symrnetric potentials, Hydrogen atoni.

Unit-lVTime independent or stationary perturbation theory; Non-degenerate case; Applicationsuch as Stark effect.

Text ond reference booksl. t. I Schiff: Quanturn Mechanics (Mcgaw-Hill Book cornpany)2. S Gasiorowicz: Quanturn physics (\\'i!*3,. Neu, \,*Lk)3' J D Powell and B Craseman: (luantum Mechanics (Addison Wesley publishingCornpany)

4, A P Messiah: Quanturn Mechanics (North _ I{olland)5. J J Sakurai: Modern euanturn Mechanics (pearson Education, INC.)6' Mathews and Venkatesan: A text book of Quantum Mechanics (Tata McGraw-HillPublishing Cornpany Ltd. )7. A Ghatak & S Loknathan: euanturn Mechanics; Theory and Applications(Macrnillan Indialtd. )

5

M. Sc. I SemesterPaper IV - r04 [Electrodynamics and prasma physics]

Unit-I(i) Review of four-vector and Lorentz transfbrmations in fbur-dimensional space:Covariance fbnn and transfonnation equations fbr Lorentz condition, electromag.reticpotentials, Lorentz force lau', Continuity equation. electric and rnagnetic fieldequations and Maxwell,s field equations.(ii) wave equation for vector and scalar potential and solution, Retarded potential and

::::::a- wiechert Potential, Electric urd ,rugneric fields due to a unifoirnly rnovirrg

Cllarge.

tJnit-II(i) Reaction force of radiation; Abraham-Lorentz equation of rnotion.(ii) Motion of charged particles in electromagnetic field: l]nifo,n E and B flelds.Tirne varying E and B fields.

Unit-III(i) Elementary concept: Plasrna oscillations. Debye shielding. plasrna parameters.(ii)Hydrodynarnical description of plasrna: Fundarnental equations, Hydrornagneticwaves: Magneto sonic and Alfven waves.

Unit-IV(i) Wave phenomena in rnagneto plasma: Polarization, phase velocity, Group velocity.Cut-offs and Resonance for electrornagnetic waves propagating parallel a,dpcrpendicular to the rnagnetic field.(ii) Propagation through ionosphere and magnetosphere.

Text snd reference books1' Panofsky and Philips: Classical electricity ancl magnetism (Addison - wesleyPublishing Cornpany).2. I.D. Jackson: classical erectrodynamics ( Berkley. califbrnia.lgT4)3' J'A. Bittencourt: Fundamentars of plasma prrvsics (ipringer, III Edition)4. F.F. chen: Introduction to plasrna physics (pie,rurn pr.rr, III print)

6

VI KRANI UNIVERSITY, UJJAIN

Faculty of Science

M. Sc. (Physics) ll Siemester

Scheme of Examination and Courses of

Studies lncluding Recommended Books

for the Examination of year

2018-19 and onwards

7

EXAI\4INATION IN THE FACULTY OF SCIENCE

MASTER OF SCIENCE

SCHETVIE AND COURSE

PHYSIC S

lVI. Sc. Examination

lVl. Sc. ll Semester from January to June

Theory

Paper I (201): Atomic and Molecular physics

Paper II (202): Classical Mechanics

Paper III (203): Quantum Mechanics-Il

Paper IV (20a): Electronics Devices

Practical

Non-Electrical

Total

50 Marks (40+10CCE)

50 Marks (40+10CCE)

50 Marks (40+10CCE)

50 Marks (40+10CCE)

100 Marks

300 Marks

o

M. Sc. II Semester.Paper | - 201 [Atomic and Molecular physics]

Unit-IRaman Spectroscopy: Introduction: Characteristic properties of Rarnan I-ir-res:Ditl-erence between Raman and Infrared Spectra; Mechanisrn of Rarnan EIT-ect:Classical theory of Rarnan Effect. (a) Effect of vibrations. (b) Effect of Rotation:Quanturn theory of Raman Effect. Pure Rotational Raman Spectra, polarization ol'light and Raman Effect. Struct.ure detennination forrn Rarnan and InfraredSpectroscopy, lnstrumentation of Raman Spectroscopy.

Unit -IIElectronic Spectroscopy: Electronic Spectra of Diatornic Molecules, The Born-Oppenheirner Approximation, Vibrational Coarse Structure, Frank-Condon principle.Dissociation energy and Dissociation Products. Rotational Fine Structure ofElectronic-Vibration Transitions. Fortrat Diagrarn" Predissociation. Applications ol'Electronic Spectra to Transition Metal Cornplexes.

Unit-IIINuclear Magnetic Spectroscopy: Nuclear Magnetic Resonance. euantuprDescription of Nuclear Magnetic Resonance, lnstrurnentation. Chernical Shift. Spin-Spin Coupling, Applications ol NMR Spectroscopy. Lirnitations of llMRSpectroscopy.

Unit-lVElectron Spin Resonance Spectroscopy: Electron Spin Resonance. Types ofSubstances, Comparison between NMR and E,SR, Instrumentation. prese,tation ofESR spectrurt, Hyperfine Splitting. Detennination of g value. Line u,idth.Applications of ESR Spectroscopv.

Text and References booksl ' Gurdeep Chatwal and Shanr Anand, Spe<:troscopy (Atornic and Molecular)(Himalaya

Publishers)2' C. N. Banwell, Fundamentals of Molecular Spectroscopy. ('fata Mcgraw-Hill

Publishers Cornpany Ltd.)3' Gerhard t{erzbeig. infrared and Rarnan Spectra (D. vannostrand Company. Ner,v

York)

9

M. Sc. II SemesterPaper lI - 202 [Classical Mechanicsl

Constraints and their classifications. D'Alernbert's principle, Generalized coordinates:['agrange's equations, Gauge invariance, Generalized coordinates and rnornenta:Integrals of rnotion; Symrnetries of-space and tirne with consen,ation laws.

Unit-I

Unit-lI

Unit-III

Rotating frarnes; Inertial forces: 'ferrestrial and astronornical applications of coriolisforce, Central force; Definition and characteristics. 'fu,o-body problern; Kepler,s lawsand equations, Artificial satelrites: Rutherford scatter.ins.

The Harniltonian function, Hamilton's equation of motion, Hamilton,s principle.lnodified Harnilton's principle. Derivation of Harnilton's equation frorn variationalprinciple, Principle of least action.

Unit-lVCanonical transfortnation. Generating function. Poisson bracket and their properties"Invariance of Poisson bracket rvith respect to canonical transforrnation. equati.rr ol-motion in Poisson bracket forrn. Ilarniltbn-Jacobi equation" Harnilton,s characteristicsor principle function, Hamilton-Jacobi equation lbr ilamilton's characteristic function"Jacobi's identity. Srnall oscillation. Normal modes a.d coordinates.

Text ond Reference Books1' N' C' Rana and P. S. Joag: Classical Mechanics (Mcgraw-Hill Educarion (tndia) (p)Lrd.)2. H' Goldstein: classicar Mechanics (Narosa publishing Flouse, New Derhi)3' A' Somrnerfeld: Mechanics ( Lectures on theoretical phy,sics vol.l, Acadrnic press)4' I' Peroceival and D. Richards: Introduction to Dynarnics (cambridge LJniversitl.Press)5. J. c. Upadhyaya: crassical Mechanics (Ra,rprasad and Sons)

10

M. Sc. II Semeste rPaper III - 203 [Quantum Nlechanics_Il]

Unit-IVariation urethod, Ground state of heliurn, Vander w,all's interaction. polarizabilitv ol-hl,drogen, Exchange degeneracy. -J '''

Unit-IITirne-dependent perturbation theory. wKB method, cr-decay of radioactive nucleus.Penetration of barrier, Adiabatic approxirnation" Sudden approximation.

Unit-IIIIdentical particles; Syrnrnetric and anti-symmetrrc wave f-unctions, Collisiorr ofidentical particles, Spin angular momentum. Spin functions for a rlany-electronsystem.

Unit-IVSemi classical theory of radiation; Transition probabilit,v for absorption and inducedemission, Electric dipole and forbidden transitions; Selection rules.

Text und reference books1. L I Schiff: Quantum Mechanics, (Mcgraw-Hill Educatio, (Inclia) (p) Ltd.)2. S Gasiorowicz: Quantum physics3' B Craseman and JD Powell: Quanturn Mechanics. (Addison - Wesley publishing

Cornpanl')

1 A P Messiah: Quantum Mechanics, (North _ Holland)5. .l J Sakurai: Modern euantum Mechanics, (pearson.Education, Singapore)6' Mathews and Venkatesan: Quanturn Mechanics, (Tata Mcgrarv-Hill publishers

Company Ltd.)

11.

M. Sc. II SemesterPaper -204 [Electronic Devicesl

Lnit-I(i) Transistors: JFEI', BJT. MOSFET and MESFET: Structure. working, derivationsof equations for [-V characteristics under different conditions, High fiequ"ency lirnits.(ii) Microwave devices: Tunnel diode, Transl'er electron devices icunn diode).Avalanche transit tirne devices. Inrpatt diodes and pararnetric devices.

Unit-ll(i) Memory devices: Static and dynamic random access memories SRAM an6DRAM, cMos and NMos. NoN-volatile-NMoS. Magnetic, optical anclFerroelectrics memories, charge coupled devices (ccl)).(ii) Transistor as a switch, oR" AND and NoT gates: NoR and NAND gares. Bo,rleanalgebra, Demorgan's theorern; Exclusive O[ gates; Decoder/Dernultiplexer dataselector/multiplexer; E ncoder.

Unit-IIIOscillators: The phase shift oscillator. Wein bridrre oscillator" LC-tunable oscillators.Multivibrator; Monostable and Astable. Cornpa.ulo.r, Square wave and triangle rvavegenerators.

Unit-IVVoltage regulators: Fixed voltageSu'itching regulators.

regulators" Ad.iustable voltage regulertors.

Text ond reference booksl. S M Sze: Serniconductor devices. (John Wiley & Sons)2' M S Tyagi: Introduction to semiconductor materials and devices, (John Wiley &Sons)3' M Sayer and A Mansingh: Measurernent, instrumentation and experimental designin physics and engineering, (pre,tice Hall of lndia, New Delhi)4' Ajoy Ghatak and K Thyagarajan: Optical electronics. (Cambridge University f,ress)5' J Millmann and C C Ilalkias: Integrated electronic: Analog ana oigital circuits ald

systems, (Tata Mcgraw-Hill Education, New Delhi)6. G K Mithal: Electronic devices and circuits, (Khanna publishers)

12

VIKRAN4 UNIVERSITY, UJJAIN

Faculty of Science

M. Sc. (Physics) lll Semester

Scheme of Examination and Courses of

Studies lnciuding Recommended Books

for the Examination of year

2019-20 and onwards

'l_

EXAMINATION IN THE FACULTY OF SCIENCEIVIASTER OF SCIENCE

SCHEIME AND COURSEPHYSIGS

I\1. Sc. Examination

lv. sc. lll semester from July to December

Theory

Paper I (301): Condensed Matter phvsics_I 50 Marks (40+l0CCE)

Paper II (302): Nuclear and particre physics-I 50 Marks (40+lOccE)

Paper III (303): Advanced euantum Mechanics_l 50 Marks (40+10CCE)3

Paper IV (30a): Advanced Electronics

(Digital Electronics)

Practical

General

Total

50 Marks (40+l0CCE)

300 Marks

100 Marks

2

M. Sc. III SemesterPaper I - 301 [Condensed Matter physics_I]

Unit-I(l) Crystal structure and reciprocal lattice: Crystal structure and Bravais lattice.Prirnitive unit cell, wigner Seitz cell, Reciprocal lattice, Brillouin zone.(2) X-tay diffraction: Bragg fonnulation, Van Laue formulation of X-ray ditfraction"Ewald construction, Laue method. Debye-Scherrer method.

Unit-IILattice vibration, Norrnal modes of a one-dimensional rnono-atornic lattice, Norrnalmodes of one-dimensional diatornic lattice, Tr,vo ions per cell. The acoustic andoptical modes of vibrations, connection r,vith the theory olelasticity.

Unit-lllBand theory-l: Periodic potential and Bloch's theorcnr. proof of Bloch theorem. Born-Von-Kannan boundary condition" Fermi surt'ace. Densitv of levels, Schrodingerequation in a weak periodic potential (nearly fiee electron), Energy bands in onedimension, Construction of Fermi surface.

Unit-IVBand theory-II: Tight binding method, cellular rnethod. Muffin-Tin potential.Augrnented Plane wave (APw) rnethod, orthogonalised plane wave (opw) rnethod"de l-laas- Van-Alphen effect.

Text ond References Booksl ' Solid State Physics: N. W. Ashcroft and N. D. Mermin (Harcourt Asia pTE Ltd.)2. Introduction to Solid State phvsics: C. Kittel (John Wiley and Sons. II and III Ed.)3' lnterrnediate Quantum theory of Crystalline Solids: A. E. Animalu (prentice Hall ofIndia Pvt. Ltd.)4' Principles of Condensed Matter Physics: Chaikin and Lubensky (CarnbridgeUniversity Press)

3

N{. Sc. III SemesterPaper II - 302 [Nuclear and particle physics _I]

Unit-IIntroduction to the Nucleus: Mass, Charge and constitution of the nucleus, nuclearsize and the distribution of nucleus. Energies of nucleus. angular momentum.Miscellaneous aspects of nuclear structure, masses and binding .n.r!i., of nuclei. Theliquid drop rnodel and serniernpirical mass formula, rnagnetic dipole rnoments, electricquadrupole rnornents.

Unit-IVNuclear structure: The independent particle model, ernpirical rules for the groundstates of the model, the shell model. The unified rnodel; Vibrational and rotationalstates.

Text ond Reference Books:l. Introductory nuclear physics by y.R. waghrnare (oxford and IBH)2. Concepts of nuclear physics by B.L. Cohen (TMfl)3. Experirnental Nuclear physics by R.M. Singru (wiley- Eastern)

Unit -IIExperimental nuclear physics: Accelerators. Synchrocyclotron, proton synchrotron.variable energy cyclotron. Detectors: GM counters, scintillation detectors.semiconductor radiation detector. rnagnetic Beta-ray spectrorneter scintillation.G amma-ray spectrorneter.

Unit-IIIThe nuclear force: the deuteron problem, spin states of two nucleon system effects ofpauli's exclusion principle. Magnetic dipole ancl electric quadrupoleine,nonets of adeuteron, The tensor force, exchange forces. rneson theory of nuclear force, Thenuclear force as we know it.

4

M. Sc. III SemesterPaper III - 303 [Advanced euantum Mechanics -Il

Unit-l: Angular MomentumAn-eular Momentum: Tirne displacement symrnetry and conservation of ener_ey"Angular momentutn and rotation. Rotational-Syrnrnetry and conservation of angularn'lomentum, Degeneracy, Reflection invariance anti parity. Eigen values of an:ularnromentutn operators, Angular mofirenturn matrices. Pauli's spi-n matrices. Additionof angular molnentuln, The possible values of J-Clebsh-Gordan coefficients forj;i2:112 and j1:l ,.i2:l12unit-Il: Bose, Fermi and particre and parastatisticsIdentical particles in quanturn mechanics and pennutation symmetry. Syrnrnetr izationpostulate, Algebraic approach to Ilose and Fermi statistics. parastatistics" euant izatiot-rand spin statistics connection

Unit-III: Radiation TheoryTl-re quantufir theory of radiation. The Harniltonian quantization of the radiation fielcl(second quantization), creation and Annihilation operator.

Unit-IV: Relativistic TheoryThe Klein-Gordon equation, The Dirac equation, Probability and Current densities.Covariance of Dirac equation, Plane wave solutions. The electron in electric andmagnetic treld' Dirac equation in central potential. Energy levels of hydrogen atorn"The hole theory and positrons. prc-diction of the spin angular momentum.

Text and Reference Books:l ' A'K' Ghatak an! S. Loknathan: Quantum Mechanics: Theory and Applications(Macrnillan India Ltd.)

? s N Biswas: Quanturn Mechanics (Books & Ailied (p) Ltd.)3. Messiah: Quanturn Mechanics (Dover publications)

5

M. Sc. III SemesterPaper Iv - 304 [Advanced Electronics (Digital Electronics)]

unit-I: Integrated circuits and operational AmplifiersIntegrated-Circuit Technology. Basic Monolithic Integrated circuits, Epitaxial grorvth.Masking and Etching, Diffusion of irnpurities, Traisistors for rnonolithic circuits.monolithic diodes, lntegrated Resistors, Integrated Capacitors and Inductors.Monolithic-circuits layout, Additional Isolation incthods. t,arge-Scale and Merliumscale Integration(LSI and MSI), The Metal-Serniconductor contact.oP-Arnp: operational arnplifier. Inverting and non-inverting arnplifier" Differenceamplifier. Analog Integration and differentiation.

Unit-Il: TTL circuits and Karnaugh MapsTTL circuits: 7400 devices. T'fl- characteristics" TTL overview. TT-L Mernory"Encoders and Decoders, Karnaugh rnaps and Karnaugh sirnplification.

Unit-IlI: Digital Electronics and systemArithmetic logic unit: Half adder. Binary adder" 2's complirnent, 2,s complimentadder and substracter. Flip-Flops: RS-latches. I-evel clocking. D-latches and ltip-flops, JK rnaster slave flip-flops.

Unit-IV: Registers and D/A and A/D systemsRegisters and counters: Buffer registers, Shifi registei, Ripple counters. Synchronouscounters, Ring counters, other counters and Bus-organized computer.Digital to Analog converters, Analog to digital converters.

Text ond Reference Books:1- Digital Principles and Application: A. P. Melvino & D. p. Leech (Tata McGraw-Hill Education (P) Ltd.)2' Op-Arnps & Linear Integrated circuits: R. A. Gayakrvad (prentice Hall, 2000)3. Electronics: D. S. Mathur (S. Chand publishing)4. Digital corn,runications: w. J'ornasi (prentice Hall)5 Digital Computer Electronics: A. P. Malvino and Brown (Tata McGraw-HillEducation (P) Ltd.)

6

VIKRAIVI UNIVERSITY, UJJAIN

Faculty of Science

M. Sc. (Physics) lV Semester

Scheme of Examination and Courses of

Studies Including Recommended Books

for the Examination of year

2019-20 and onwards

7

EXAIVIINATION IN THE FACULTY OF SCIENCE

I\/IASTER OF SCIENCE

SCHEI\IE AND COURSE

PHYSIC S

lM. Sc. Examination

N/1. Sc. lV Semester from January to June

Theory

Paper I (401): condensed Matter physics-ll 50 Marks (40+l0ccE)

Paper lr @02): Nuclear and particle physics-il 50 Marks (40+lOccE)

Paper III (a03): Advanced euantum Mechanics-Il 50 Marks (40+r 0ccE)

Paper IV (a04): Microprocessor 50 Marks (40+I0CCE)Internal project 50 Marks

Practical

Electronics 100 Marks

Total 350 Marks

8

M. Sc. IV Semestr:rPaper I - 401 [Condensed Matter physics_Ill

Unit-IElectron dynamics: The semi-classical rnodel; Motion in a DC electric field. theholes' Motion in

-a uniform magttetic tield, Motion in perpendicular unifbrp1 electric

and rnagnetic fields, Hall eff-ect and magneto-resistance.The semi-classical theory of conduction in metals: Ihe relaxation ti,reapproximation, DC electric conductivity. AC electric conductivity. 'fherrnalconductivity.

Unit-IIDefects in Solid: Number of vacancies and interstrtial as a function of temperature.Ditrusion: Self-diffusion and chernical diflusion, Fick,s raw, Edge and screwdislocation, Slip, Burger vector, Dislocation rnobility and density. Interiction betweendislocations, color center, Excitons, Elementary idea about luminescence.

Unit-IilSemiconductors: Typical semiconductor band structures" ef1-ective lnass insemiconductors, Cyclotron resonance. Nurnber of carriers in therrnal equilibriurn:Intrinsic and extrinsic cases. Population of impurity levels in thermal equilibriurn:Therrnal equilibriurn carrier density of irrpuie serniconductors. p-n .iunction i.equilibrium.

Unit-IVSuperconductivity: Experirrental surveys, Meissner eff'ect. Heat capacity, Energygap, Microwaves and infrarecl properties. Thermodynarnics of superconductin_etransition, London equation, eualitative idea of BCS theory. rype_i and rype_Ilsuperconductors. S_uper conducting devices, isotope effect. rtux quantization. Singleparticle tunneling, Josephson tunreling, High'fc superconductors.

Text ond References Books:l. Solid State Physics: Neil W. Ashcroft and NPublishers)

David Mennin (Harcourt college

2. Solid State physics: c. Kittel (John wiley ancl So,s. vll Ed.)3' Interrnediate Solid State Physics: AE Anirnalu (Prentice Hall of India pvt. Ltd.\4. Principle of condensed matter physics: chaikin a,d Lube'rskv5. Elernentary Solid State physics: Ali Omar

9

NI. Sc. IV SemesterPaper lr - 402 [Nucrear and pa.ticre physics -II]

Unit-lRadioactivity: Alpha decay. calculation of alpha decay rates. The Garnma-decay.transition probability of gatnma clecay, many particle configuration transition. internalconversion.

Unit-IIBeta Decay: experimental observations. shape of beta spectrurn. neutrino hypotlresis.T'he Kurie plot, Fenni's theory of beta d..uy. allou,ed transitions. parity non-conservation in beta decay and its experimental confi,nation.

Unit-IIINuclear reactions: Reaction rnechanism. cornpound nuclear reactions. Statisticalmodel of nuclear reaction, Scattering of charged particle, Elastic scattering reactioncross section. the_ collision amplitude, elastiC scaitering of S-wave neutrons. crosssection in terms of the scattering rnatrix in the general case.Nuclear Fission: theory of fission, Neutron irnission in fission, Fissile and lertilernaterials, Nuclear fi ssion and thernronuclear reactions.

U nit-IVFundamental particles (Descriptive): The particles and force between the,r.Enumeration of various quantunr nurnbers, properties of the filuons" pions, kaons.hyperons, quarks. Partons and the Jy contempo.u,'1' situation regarding elementaryparticles.

Text snd References Books:l. lntroductory nuclear physics b1 y.R. waghrnare (oxtbrd and IBH)2. Concepts of nuclear physics by B.L. Cohen (TMA)3. Experirnental Nuclear physics by. R.M. Singiu lwiley- Eastern)

10

M. Sc. IV SemesterPaper III - 403 [Advanced eulntum Mechanics _IIl

Unit-IScattering Theory: Differential scattering cross section, Total scattering crosssection' Relationship between the scatterinj ..orr-..rion to the wave function. thescattering arnplitude, Method of partial *u,i.r, Expansion of plane wave in terms ofpartial waves, Scattering by a central potentiat, the scattering length. Scattering by asqLlare well potential, Resonance scattering.

Unit-IIThe Born approxirnation, criterion fbr the r,'alidity of the Born approximation.Scattering of electrons to atoms.

Unit-IIIElements of Field Quantization: Quantization o1' the field. Non-relativistic fields.

:il::t of Bosons, System of Fennions, cornrnulators and anri-commutators, unequal

Unit-IVRelativistic field, The Klein-Gorclen field, Invariant delta functions. The Dirac lrelcl.Spins and statistics, covariant anti-comrnutation relations. Feynuran diagrams.

Text ond Reference Books:l. V. K. Thankappan: euanturn lv[echanics2. Katiyar: Relativistic euantum Mechanics and Fier,r3' A' J' Ghatak and S..Loknathan: Quanturn Mechanics: Theory and Applications(Macrnillan India I-td.)

11.

M. Sc. IV SemesterPaper IV - 404 [Microprocessorl

Unit-IMicroprocessor-I(a) Introduction to microprocessors(b) Programming and languages: Relationship betrveen electronics andprograrnlning. F lowcharts, programrni ng l angrrages. Aisernbly Ianguages.(c) System overview: Computer archiiectui.. N{i..oprocessor architecture. specificrn icroprocessor -8085 only.

Unit-ll(a) Data transfer instructions: CPU control instructions. Data translbr instructions"Microprocessor 8085 family only.(b) Addressing m_odes I: conccpt

-of addressing mode" paging concept, Basicaddressing modes. Microprocessor-g0g5 farnily onl i:(c) Arithmetic and flags: Microprocessors and numbers, Arithmetic instructions.Flag instructions" Microprocessor g0g5 farnily only.(d) Logic instructions: The AND instructitn. rn. oR instruction, X-OR. X-NORand NOT instructions.

Unit-IIISAP(a) Bistable multivibrators: Stable state of a binarv. Fixed bias transistor binar1,. Selfbiased transistor binary.(b) Simple-as-possible computer (SAP- I ): Architecture, Instruction set.Programtning, Fetch cycle, Execution cycle. Microprogramming. Schenatic diagrarn"Micro Programrning.

Unit-lV(a) Simple-as-possible computer-II (SAP-2): Bidirectional resistors. Architectures.Mernory reference instructions. Registers instruction, .lurnp and call instructions.Logic instructions.

(nl Simple-as-possible computers (SAP-3): Prograrnrning rnoclel. Arithnreticinstructions, Increments, decrements and rnultifles lojic instructions.

Text und Reference Books:1' Microprocessor Architecture Prosramrning and Applications: R. S. Gao,kar.2'.Digital Cornputer Electronicr, i. P. Malvino'and Brown (Tata McGraw-HillEducation (P) Ltd.)

1.2