Applied Quantum Mechanics

Course Description

This course describes and discusses physical foundations of today's diodes, transistors, light-emitting diodes and semiconductor lasers which are present in computers and electronic or optoelectronic gadgets and equipment. Special attention is given to fundamental concepts of quantum mechanics: wave-particle duality, uncertainty principle, and manifestations of quantum phenomena in macroscopic world with focus on electronic devices. The course will be particularly useful to engineers who plan designing electronic circuits or working in optics.

Learning Outcomes

  1. Explain the fundamental concepts of quantum mechanics
  2. Describe electronic elements in which quantum nature manifests itself.
  3. Describe optical elements that fundamental depend on quantum mechanics
  4. Explain how wave-particle duality gives rise to semicodnuctors
  5. Design a basic structure of a semiconductor laser at a specific wavelength
  6. Design a basic heterojunction-field-effect transistor

Forms of Teaching


Week by Week Schedule

  1. Wave-particle duality; Quantum mechanics: postulates, epistemology, derivation, and solutions of the Schrödinger equation
  2. Properties and interpretation of a wave function; Bound states and electron orbitals
  3. Uncertainty relations in quantum physics
  4. Brillouin zones; Fermi energy; Fermi temperature; Fermi surface; Metal conductivity, Quantum theory of semiconductors; Intrinsic semiconductors and heterogeneous structures
  5. Quantum mechanics in one dimension; Free electron; Wavefunctions; Tunneling; Potential well, Electron in periodic potential; Quantum dots and superlattices
  6. Epitaxial growth technologies; Matthews-Blakeslee limit; Characterization of materials and interfaces between different materials; Polar and non-polar crystal planes; Classification and characterization of semiconductor heterojunctions
  7. Binary; tertiary and quaternary compound semiconductor alloys (applications), semiconductor direct-bonding technology: electrical; optical and thermal characteristics
  8. III-V HEMTs and HBTs, Triangular quantum well and its applications electronics; Finite-depth rectangular quantum wells and coupled coupled wells; Applications in optics, Quantization in nanostructures; Number and density of states for nanostructures
  9. Effective-mass Schrödinger equation, Electron propagation in uniaxially non-uniform semiconductors; boundary conditions; reflection and transmission of electron wave-functions
  10. Energy-wavenumber (E-k) diagram; transitions involving photons; phonons; electrons and holes; Shockley-Read-Hall and Auger recombination
  11. Semi-classical carrier transport in electronic devices; Boltzmann transport equation; Fermi golden rule; Momentum relaxation time approximation; Drift-diffusion model
  12. Quantum mechanical- harmonic oscillator; Spherically symmetric central potential; Quantum numbers
  13. Quantization of the electromagnetic field, thermal and coherent states of the electromagnetic field. Planck's black-body radiation law
  14. Thermal noise in electronics, quantum noise in electromagnetic waves, and shot noise in electronics and devices.
  15. Heterojunction lasers; Quantum-well and quantum dot lasers; Quantum cascade lasers, laser types and description of operation.

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(.), Herbert Kroemer, Engineering Quantum Mechanics,
(.), David Miller, Quantum Mechanics,

For students


ID 222712
  Winter semester
L3 English Level
L1 e-Learning
45 Lectures

Grading System

Very Good