{"id":2886,"date":"2021-08-18T04:42:49","date_gmt":"2021-08-18T04:42:49","guid":{"rendered":"https:\/\/phy.jfn.ac.lk\/?page_id=2886"},"modified":"2021-08-18T05:04:28","modified_gmt":"2021-08-18T05:04:28","slug":"level-3m-new","status":"publish","type":"page","link":"https:\/\/phy.jfn.ac.lk\/index.php\/level-3m-new\/","title":{"rendered":"Level 3M New"},"content":{"rendered":"\t\t
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\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/i><\/span>\n\t\t\t\t\t\t\t\t<\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\tPHY301M4<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t
\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
\n

Course Title<\/o:p><\/span><\/b><\/p>\n <\/td>\n

\n

Practical Physics IV and Literature\n Survey<\/o:p><\/span><\/b><\/p>\n <\/td>\n <\/tr>\n

\n

Course Code<\/o:p><\/span><\/b><\/p>\n <\/td>\n

\n

PHY301M4<\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Credit Value<\/o:p><\/span><\/b><\/p>\n <\/td>\n

\n

04<\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Hourly breakdown<\/o:p><\/span><\/b><\/p>\n <\/td>\n

\n

Theory<\/o:p><\/span><\/p>\n <\/td>\n

\n

Practical<\/o:p><\/span><\/p>\n <\/td>\n

\n

Independent Learning<\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

–<\/o:p><\/span><\/p>\n <\/td>\n

\n

135<\/o:p><\/span><\/p>\n <\/td>\n

\n

65<\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Objectives<\/span><\/b><\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

\u00b7      <\/span><\/span>Prepare students with various modern and\n advanced experimental set-ups and orient them for research.<\/o:p><\/span><\/p>\n

\u00b7      <\/span><\/span>Enhance the students\u2019 understanding of\n various basic concepts in physics through measuring physical quantities.<\/o:p><\/span><\/p>\n

\u00b7   <\/span><\/span>Develop the students\u2019 soft skills such as\n writing scientific reports, learning through discussion and oral presentation\n of their scientific findings.<\/o:p><\/b><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Intended Learning Outcomes<\/span><\/b><\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

\u00b7      <\/span><\/span>Improve experimental skills to carry out\n laboratory practical in various topics<\/o:p><\/span><\/p>\n

\u00b7      <\/span><\/span>Explain experimental findings in relation\n to existing theories<\/o:p><\/span><\/p>\n

\u00b7      <\/span><\/span>Interpret the experimental results<\/o:p><\/span><\/p>\n

\u00b7      <\/span><\/span>Design and construct electronic circuits <\/o:p><\/span><\/p>\n

\u00b7      <\/span><\/span>Access e-resources effectively for writing\n scientific articles<\/o:p><\/span><\/p>\n

\u00b7      <\/span><\/span>Improve reading, writing and presenting skills<\/o:p><\/b><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Course Contents<\/span><\/b><\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

\u00b7      <\/span><\/span>Solid state Physics: Solar Cells\n characterization, UV-VIS spectroscopy, Bandgap and Hall effect measurements.<\/o:p><\/span><\/p>\n

\u00b7      <\/span><\/span>Optics: Velocity of light, Michelson\n Interferometer.<\/o:p><\/span><\/p>\n

\u00b7      <\/span><\/span>Modern Physics: Millikan\u2019s Oil drop,\n Electron spin resonance, Fine beam tube, Planck\u2019s Constant, Gamma radiation,\n Black Body Radiation, Franck hertz tube, Zeeman effect.<\/o:p><\/span><\/p>\n

\u00b7      <\/span><\/span>Electronics: Analog Computing Wein\n bridge\/Colpitts Oscillator, Two-stage Amplifier, 555 Timer.<\/o:p><\/span><\/p>\n

 <\/span><\/b><\/p>\n

Literature survey<\/span><\/b>: The students shall carry out extensive\n literature survey on pre-assigned topics by accessing e-resources and printed\n materials. A written report on the topic assigned shall be submitted and an\n oral presentation shall be delivered to a panel of examiners and the special\n degree students. <\/o:p><\/b><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Teaching and Learning Methods<\/span><\/b><\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

In\n person laboratory demonstration, e-learning, handouts and guided learning<\/o:p><\/span><\/p>\n

Practical\n reports\/Presentation<\/o:p><\/span><\/p>\n

Literature\n survey and Presentation <\/o:p><\/b><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Assessment Strategy<\/span><\/b><\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Practical\n <\/o:p><\/span><\/p>\n

Literature\n survey <\/o:p><\/span><\/p>\n <\/td>\n

\n

75 %<\/o:p><\/span><\/p>\n

25 %<\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Recommended References<\/span><\/b><\/o:p><\/span><\/b><\/p>\n <\/td>\n <\/tr>\n

\n

i\n <\/span><\/span>Squires,  G. L.,\n Practical Physics, (4th Edition), University of Cambridge (2001)<\/span><\/o:p><\/span><\/p>\n

i\n <\/span><\/span>Sinclair, I., Practical\n Electronics Handbook, (6th<\/sup> Edition) Elsevier publishers, Inc.\n (2007)<\/o:p><\/span><\/p>\n

i\n <\/span><\/span>Gupta, S.L., and\n Kumar. V., Handbook of electronics, Pragati Prakashan (2012)<\/span><\/strong><\/o:p><\/span><\/b><\/p>\n <\/td>\n <\/tr>\n<\/tbody><\/table><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t

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\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/i><\/span>\n\t\t\t\t\t\t\t\t<\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\tPHY302M3<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t
\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
\n

Course Title  <\/o:p><\/span><\/b><\/p>\n <\/td>\n

\n

Classical Mechanics and\n Relativity<\/o:p><\/span><\/b><\/p>\n <\/td>\n <\/tr>\n

\n

Course Code<\/o:p><\/span><\/b><\/p>\n <\/td>\n

\n

PHY302M3<\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Credit Value<\/o:p><\/span><\/b><\/p>\n <\/td>\n

\n

03  <\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Hourly breakdown<\/o:p><\/span><\/b><\/p>\n <\/td>\n

\n

Theory<\/o:p><\/span><\/p>\n <\/td>\n

\n

Practical<\/o:p><\/span><\/p>\n <\/td>\n

\n

Independent Learning<\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

45<\/o:p><\/span><\/p>\n <\/td>\n

\n

–<\/o:p><\/span><\/p>\n <\/td>\n

\n

105<\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Objectives<\/span><\/b><\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

\u00b7         \n <\/span><\/span>Introduce fundamental conservation laws to analyse mechanical systems.<\/o:p><\/span><\/p>\n

\u00b7        <\/span><\/span>Outline the basic principles of the Lagrangian and Hamiltonian\n formulation of classical mechanics and apply these principles to solve key\n problems.<\/o:p><\/span><\/p>\n

\u00b7         \n <\/span><\/span>Introduce Einstein’s general and special relativity and cosmology.<\/o:p><\/span><\/p>\n

\u00b7         \n <\/span><\/span>Outline the concept and uses of four vectors in relativistic\n kinematics.<\/o:p><\/span><\/p>\n

 <\/span><\/b><\/p>\n <\/td>\n <\/tr>\n

\n

Intended Learning Outcomes<\/span><\/b><\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

\u00b7         \n <\/span><\/span>Solve advanced dynamical problems involving classical particles by\n applying the Lagrangian and Hamiltonian formulations<\/o:p><\/span><\/p>\n

\u00b7         \n <\/span><\/span>Explain the calculus of variations and apply it to solve problems<\/o:p><\/span><\/p>\n

\u00b7         \n <\/span><\/span>Formulate the Hamilton-Jacobi equations and apply them to the solution\n of problems<\/o:p><\/span><\/p>\n

\u00b7         \n <\/span><\/span>Solve problems in basic calculations in relativistic kinematics and\n dynamics<\/span><\/o:p><\/span><\/b><\/p>\n <\/td>\n <\/tr>\n

\n

Course Contents<\/span><\/b><\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Lagrangian mechanics:<\/span><\/b><\/o:p><\/span><\/p>\n

\u00b7        \n <\/span><\/span>Generalised coordinates, holonomic and non-holonomic constraints,\n Principle of least action and the derivation of Lagrange’s equations of\n motion, Application of Lagrange’s equations to solve simple problems,\n Conservation laws and symmetries in nature, Constraints and the method of\n Lagrange’s undetermined multipliers, Generalized force and generalised\n momentum.<\/o:p><\/span><\/p>\n


\n Central force problems:<\/span><\/b><\/o:p><\/span><\/p>\n

\u00b7        \n <\/span><\/span>Vector treatment of motion of a particle in three dimensions, moving\n frames of reference, effects of the earth’s rotation, motion under a central\n conservative force, the inverse square law, scattering cross-sections, motion\n of a charge particle in uniform and non-uniform electric and magnetic fields.<\/o:p><\/span><\/p>\n

The two-body problem:<\/span><\/b><\/o:p><\/span><\/p>\n

\u00b7        \n <\/span><\/span>The centre of mass and relative coordinates, elastic collisions,\n scattering cross-sections in centre of mass and laboratory frames.<\/o:p><\/span><\/p>\n

 <\/span><\/b><\/p>\n <\/td>\n <\/tr>\n

\n

Rigid body motion:<\/span><\/b><\/o:p><\/span><\/p>\n

\u00b7        \n <\/span><\/span>Rotational motion of a rigid body, moment of inertia, principal axes\n of inertia, gyroscopic motion. Small oscillations and normal modes<\/o:p><\/span><\/p>\n

 <\/span><\/b><\/p>\n

Hamiltonian Mechanics:<\/span><\/b><\/o:p><\/span><\/p>\n

\u00b7  <\/span><\/span>Hamiltonian and the Hamilton’s equations of motion, simple\n applications, ignorable coordinates, the symmetric top, symmetries and\n conservation laws.<\/o:p><\/span><\/p>\n


\n Relativity:<\/o:p><\/span><\/b><\/p>\n

 <\/span><\/p>\n

Special Relativity:<\/span><\/b><\/o:p><\/span><\/p>\n

\u00b7       <\/span><\/span>Review of postulates of special relativity and Lorentz transformation\n equations, four vectors, transformation of velocity, momentum and force using\n four vectors, field of a moving charge via force transformation, relativistic\n collision and decay problems.<\/o:p><\/span><\/p>\n

\u00b7        \n <\/span><\/span>Transformation of wave number vector, radial and transverse Doppler\n effects in optics.<\/o:p><\/span><\/p>\n


\n General Relativity<\/span><\/b><\/o:p><\/span><\/p>\n

\u00b7      <\/span><\/span>Non-mathematical introduction to general relativity, Einstein’s\n approach to gravity, black holes, concept of curved space time, experimental\n test of general relativity. Rudiments of cosmology.<\/span><\/o:p><\/span><\/p>\n

\u00b7        \n <\/span><\/span> <\/span><\/b><\/p>\n <\/td>\n <\/tr>\n

\n

Teaching and Learning\n Methods  <\/span><\/b><\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

In\n person lectures, tutorial discussions, e-learning, handouts and guided\n learning <\/o:p><\/b><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Assessment Strategy<\/span><\/b><\/o:p><\/span><\/p>\n <\/td>\n

\n

 <\/span><\/p>\n <\/td>\n <\/tr>\n

\n

In-course\n Assessments                  \n          <\/span><\/o:p><\/span><\/p>\n

End\n of course examination<\/span><\/o:p><\/span><\/b><\/p>\n <\/td>\n

\n

30%<\/span><\/o:p><\/span><\/p>\n

70%<\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

Recommended References<\/span><\/b><\/o:p><\/span><\/p>\n <\/td>\n <\/tr>\n

\n

\u00b7      <\/span><\/span>Kogut, J.,  Introduction to Relativity, Harcourt\n Academic Press, USA (2000)<\/o:p><\/span><\/p>\n

\u00b7      <\/span><\/span>Taylor, F. and Wheeler,\n A., Spacetime Physics: Introduction to special relativity, 2nd Edition, W. H.\n Freeman press (1992).<\/o:p><\/span><\/p>\n

\u00b7     \n <\/span><\/span>Timon, I., Mechanics and Relativity, Delft University of Technology,\n (2018)<\/span><\/o:p><\/span><\/b><\/p>\n <\/td>\n <\/tr>\n<\/tbody><\/table><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t

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\n\t\t\t\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/i><\/span>\n\t\t\t\t\t\t\t\t<\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\tPHY303M3<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t

Course Title\u00a0 <\/span><\/b><\/p><\/td>

Quantum Mechanics<\/span><\/b><\/p><\/td><\/tr>

Course Code<\/span><\/b><\/p><\/td>

PHY303M3<\/span><\/b><\/p><\/td><\/tr>

Credit Value<\/span><\/b><\/p><\/td>

03\u00a0 <\/span><\/p><\/td><\/tr>

Hourly breakdown<\/span><\/b><\/p><\/td>

Theory<\/span><\/p><\/td>

Practical<\/span><\/p><\/td>

Independent Learning<\/span><\/p><\/td><\/tr>

45<\/span><\/p><\/td>

–<\/span><\/p><\/td>

105<\/span><\/p><\/td><\/tr>

Objectives<\/span><\/b><\/p><\/td><\/tr>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>I<\/span>ntroduce a set of postulates and the necessary characteristics of quantum mechanics <\/span><\/p>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Solve the Time Independent Schr\u00f6dinger Equation for simple quantum mechanical problems in one, two and three dimensions.<\/span><\/p>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Introduce the method of solving central field problems in spherical polar coordinates and the concept of angular momentum in quantum mechanics.<\/span><\/p>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Formulate matrix representation of operators and wavefunctions.<\/span><\/p>

\u00a0<\/span><\/b><\/p><\/td><\/tr>

Intended Learning Outcomes<\/span><\/b><\/p><\/td><\/tr>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Analyze physical processes\/systems using the uncertainty principle.<\/span><\/p>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Evaluate the quantities: eigenvalues, eigenfunctions, position probability density function, expectation values, uncertainties, etc., associated with quantum systems, using wave functions and operators.<\/span><\/p>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Apply the Schr\u00f6dinger equation to analyze idealistic (1D, 2D and 3D) potential systems.<\/span><\/p>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Apply the Schr\u00f6dinger equation in spherical polar coordinates for a hydrogenic atom to obtain possible electronic energy levels and wave functions.<\/span><\/p>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>\u00a0Obtain matrix representation of operators and wave functions, specifically of angular momentum operators and their eigenfunctions.<\/span><\/p>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Derive the momentum space wave function of quantum systems and use it to extract information of these systems in a more convenient way.<\/span><\/b><\/p><\/td><\/tr>

Course Contents<\/span><\/b><\/p><\/td><\/tr>

Introduction:<\/span><\/b><\/p>

\u00b7\u00a0 \u00a0<\/span><\/span>Evidence of inadequacy of classical mechanics, Some necessary characteristics of quantum theory, The wave-particle duality, the wave function and probability amplitudes, wave packets, the Schr\u00f6dinger equation, eigenvalue equations and their place in the quantum formalism, Calculation of expectation values of system parameters.
Solution of Schr\u00f6dinger equation in some simple cases:<\/span><\/b><\/span><\/p>

\u00b7\u00a0\u00a0 \u00a0\u00a0<\/span><\/span>One dimensional potential well and energy quantization, potential barriers, reflection and transmission coefficients, tunnelling, one dimensional simple harmonic oscillator, symmetric potentials and parity.<\/span><\/p>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Operator formalism and the basic postulates of quantum mechanics:<\/span><\/p>

\u00b7\u00a0 \u00a0\u00a0<\/span><\/span>Linear Hermitian operators and observables, eigenvalues and eigenfunctions, expectation values, rate of change of expectation values, degeneracy, simultaneous observability and commutation, the uncertainty principle. The basic postulates of quantum mechanics.<\/span><\/p>

Application of Schr\u00f6dinger equation to three dimensional problems:<\/span><\/b><\/p>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>Free particle and particle confined to a box, Schr\u00f6dinger equation in spherical polar coordinates and solving central field problems, Spherical Harmonics, orbital and magnetic quantum numbers. \u00a0<\/span><\/p>

\u00a0<\/span><\/b><\/p><\/td><\/tr>


Operators in quantum mechanics:<\/span><\/b><\/p>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>The ladder operators in the linear harmonic oscillator problem and the angular momentum. Introduction of spin as an intrinsic property of particles.<\/span><\/p>


Schr\u00f6dinger equation for two particle systems:<\/span><\/b><\/p>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>The energy of a rigid rotator, the deuteron; The energy, the energy level diagram and the wavefunctions of one-electron atoms.<\/span><\/p>


Transformation of Representations in quantum mechanics:<\/span><\/b><\/p>

\u00b7\u00a0 \u00a0 \u00a0 \u00a0<\/span><\/span>Matrix representation of wave functions and operators. Matrix representation of angular momentum operators, eigenvalues and eigenvectors of matrices, Pauli spin matrices.<\/span><\/p>


Total Angular momentum and addition of angular momenta:<\/span><\/b><\/p>

\u00b7\u00a0 \u00a0 \u00a0<\/span><\/span>The vector model, spectroscopic notation, magnetic dipole moment of an electron in an atom due to its orbital and spin angular momenta, Force experienced by an electron in an atom in the presence of an external magnetic field.<\/span><\/p>


Identical particles:<\/span><\/b><\/p>

\u00b7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/span><\/span>The particle exchange operator, The effect of indistinguishability of atomic particles on quantum formalism, Pauli exclusion principle.<\/span><\/b><\/p><\/td><\/tr>

Teaching and Learning Methods\u00a0 <\/span><\/b><\/p><\/td><\/tr>

In person lectures, tutorial discussions, e-learning, handouts and guided learning<\/span><\/p>

\u00a0<\/span><\/b><\/p><\/td><\/tr>

Assessment Strategy<\/span><\/b><\/b><\/p><\/td><\/tr>

In-course Assessments \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0<\/span><\/p>

End of course examination<\/span><\/b><\/p><\/td>

30%<\/span><\/p>

70%<\/span><\/p><\/td><\/tr>

Recommended References<\/span><\/b><\/p><\/td><\/tr>