* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download pdf
Aharonov–Bohm effect wikipedia , lookup
Quantum dot wikipedia , lookup
Dirac equation wikipedia , lookup
Density matrix wikipedia , lookup
Bell test experiments wikipedia , lookup
Topological quantum field theory wikipedia , lookup
Perturbation theory (quantum mechanics) wikipedia , lookup
Schrödinger equation wikipedia , lookup
Matter wave wikipedia , lookup
Quantum entanglement wikipedia , lookup
Bohr–Einstein debates wikipedia , lookup
Measurement in quantum mechanics wikipedia , lookup
Renormalization wikipedia , lookup
Double-slit experiment wikipedia , lookup
Particle in a box wikipedia , lookup
Quantum fiction wikipedia , lookup
Quantum computing wikipedia , lookup
Quantum electrodynamics wikipedia , lookup
Probability amplitude wikipedia , lookup
Coherent states wikipedia , lookup
Perturbation theory wikipedia , lookup
Quantum field theory wikipedia , lookup
Wave function wikipedia , lookup
Wave–particle duality wikipedia , lookup
Quantum teleportation wikipedia , lookup
Bell's theorem wikipedia , lookup
Renormalization group wikipedia , lookup
Erwin Schrödinger wikipedia , lookup
Quantum machine learning wikipedia , lookup
Scalar field theory wikipedia , lookup
Quantum group wikipedia , lookup
Quantum key distribution wikipedia , lookup
Orchestrated objective reduction wikipedia , lookup
Path integral formulation wikipedia , lookup
Many-worlds interpretation wikipedia , lookup
Theoretical and experimental justification for the Schrödinger equation wikipedia , lookup
Relativistic quantum mechanics wikipedia , lookup
Copenhagen interpretation wikipedia , lookup
Hydrogen atom wikipedia , lookup
Symmetry in quantum mechanics wikipedia , lookup
EPR paradox wikipedia , lookup
Quantum state wikipedia , lookup
History of quantum field theory wikipedia , lookup
Canonical quantization wikipedia , lookup
Course Code L T 3 1 Quantum Mechanics for Nanotechnology Co-requisite: Prerequisite: Data Book / Codes/Standards XXX YYY, ZZZ, WWW Course Category Course designed by Approval P PROFESSIONAL CORE Department of Physics and Nanotechnology -- Academic Council Meeting -- , 2016 P 0 C 4 Clark’s Table, IS : 456-2000 Quantum Mechanics for Nanotechnology To provide a working knowledge of the foundations, techniques, and key results of quantum mechanics for solving problems in nanotechnology. INSTRUCTIONAL OBJECTIVES STUDENT OUTCOMES At the end of the course, student will be able to 1. Explain the origin of old and new Quantum Mechanics a 2. Explain the bound and scattering state and can solve the numerical a c 3. Correlate quantum physics behind applications - Nano Dimension a 4. Solve the many body problems using various assumptions a 5. Start the core subjects of Nanotechnology based on Quantum Phenomena a PURPOSE Session Description of Topic UNIT I: BASIC FORMULATION & BOUND STATE PROBLEMS Contact hours 9 C-DI-O IOs Reference 1. Old quantum mechanics, Statistical interpretation and normalization of wave function 2 C 1 1,2,3 2. Schrödinger’s time dependent and time independent wave equations 2 C,D 1 1,2,3 3. Stationary states, Heisenberg uncertainty principle, Ehrenfest theorem 2 C,D,I 1 1,2,3 4. Infinite square well in one and three dimensions, Delta function potential, Finite square well. UNIT II: SCATTERING STATES & QUANTUM TUNNELING 3 C,D,I 1 1,2,3 9 5. Scattering states, reflection and transmission of particles 2 C,D,I 2 1,2,3 6. Delta function potential well and barrier Step potential 2 C,D 2 1,2,3 7. Rectangular potential barrier, Tunnel effect, Double delta function potential barriers 3 D,I 2,3 1,2,3 8. Resonant tunneling 2 C 2,3 1,2,3,4 UNIT III: DISCRETE EIGENVALUE PROBLEMS 9 Energy Eigen functions and Eigen values coordinates precession. 3 C,D.I 3 1,2,3,4 10. Spherical Harmonic oscillator in one dimension, momentum, Eigen values 2 C,D 1,2,3,4 Schrödinger equation in spherical coordinates, Angular equation, 11. Radial equation, Infinite Spherical well, Ground state properties of hydrogen atom 2 C,D,I 3 1,2,3,4,5 12. Angular momentum, Eigenvalues, Spin 1/2 2 C,D,I 3,4 1,2,3,4,5 9. UNIT IV: APPROXIMATION METHODS 9 3 13. Time independent perturbation theory for non-degenerate and degenerate energy levels 14. Variation method, Time-dependent perturbation theory for two-level systems 15. Sinusoidal perturbations, Incoherent perturbation, Transition rate, Adiabatic and Sudden approximations (Elementary concepts). UNIT V: IDENTICAL PARTICLES AND SCATTERING THEORY 16. Two particle system’s Schrödinger equation, Transformation to center of mass frame from laboratory frame 3 C,D 4,5 1,2,3,4,5 3 C,D 4,5 1,2,3,4,5 3 C,D 4,5 1,2,3,4,5 3 C,D 4,5 1,2,3,4,5 17. Symmetrization of wave function, Bosons and Fermions, Exchange forces, Solids, Free electron gas 3 C,D 4,5 1,2,3,4,5 Band structure, Quantum Scattering theory, Differential and total 18. cross sections, Green’s functions, Born approximation, Application to spherically symmetric potentials. 3 C,D,I 4,5 1,2,3,4,5 Total contact hours 9 45 LEARNING RESOURCES Sl. TEXT BOOKS No. 1. David J. Griffiths, “Introduction to Quantum Mechanics”, Second Edition, Pearson, 2009. 2. Ajoy Ghatak and S. Lokanathan, “Quantum Mechanics”, Fifth Edition, Macmillan, 2009. REFERENCE BOOKS/OTHER READING MATERIAL 3. Bransden B.H., and Joachain C.J., “Quantum Mechanics”, Second Edition, Pearson, 2007. 4. YoavPeleg, ReuvenPnini, ElyahuZaarur, and Eugene Hecht, “Schaum’s Outline of Quantum Mechanics”, Second Edition, Tata McGraw Hill, 2010. 5. Mathews P.M. and Venkatesan K.,“Quantum Mechanics”,Second Edition, Tata McGraw Hill, 2010. Course nature Assessment Method (Weightage 100%) Assessment tool Cycle test I In-semester Weightage 10% Theory Cycle test II 15% Cycle Test III Surprise Test Quiz 15% 5% 5% End semester examination Weightage : Total 50% 50%