PH3601: Quantum Mechanics for Engineers

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Course Information

L-T-P-C3-0-0-3
Prerequisites None

Syllabus

Module 1: Principles and Formalism of Quantum Mechanics

Lecture hours: 12 · Tutorial hours: 0 · Lab hours: 0

Introduction to Quantum Mechanics: wavefunctions, quantum uncertainties, and energy quantization, Introduction to Mathematical Formalism: linear vector spaces, Functions in a linear vector space, Linear operations in a linear vector space, Self adjoint operators and their eigenvalues & eigenvectors .

Module 2: Tunnelling and Periodic Potentials

Lecture hours: 10 · Tutorial hours: 0 · Lab hours: 0

Tunnelling: simple rectangular barrier, tunneling probability, Transmission as a function of energy, Tunneling across multiple barriers, resonant tunneling, Periodic potentials, the potential barrier in the delta-function limit, The Kronig-Penney model, Bloch's theorem, energy bands .

Module 3: Harmonic Oscillator and Wave Packets

Lecture hours: 6 · Tutorial hours: 0 · Lab hours: 0

The harmonic oscillator wave functions, factorization method, Time development - motion of a wave packet, Quantizing the LC-circuit, The vibrating lattice .

Module 4: Approximation Methods

Lecture hours: 7 · Tutorial hours: 0 · Lab hours: 0

Stationary perturbation theory, The perturbation series, Some examples of application of perturbation theory .

Module 5: Foundations of Quantum Mechanics

Lecture hours: 7 · Tutorial hours: 0 · Lab hours: 0

Entanglement, the EPR paradox, Bell's inequality, Entanglement as a resource for applications, No-cloning theorem, Quantum teleportation, Quantum Information .

Study Materials

Textbooks

  1. Introduction to Quantum Mechanics, David J. Griffiths, Cambridge India (2016), ISBN: 978-1316646519
  2. Quantum Mechanics for Scientists and Engineers, D. A. B. Miller, Cambridge University Press (2007), ISBN: 0-521-89783-1
  3. Quantum Computation and Quantum Information, Michael A. Nielsen and Isaac L. Chuang, Cambridge University Press, 10th Anniversary Edition (2010), ISBN: 978-1107002173

References

  1. Quantum Mechanics for Nanostructures, Vladimir V. Mitin, Dmitry I. Sementsov, Nizami Z. Vagidov, Cambridge University Press (2010), ISBN: 0-521-76366-5
  2. Quantum Mechanics: An Introduction for Device Physicists and Electrical Engineers, David K. Ferry, Taylor and Francis, 2nd Edition (2001), ISBN: 0-750-30725-0