JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

QUANTUM MECHANICS

M.Tech I Year I Semester (R17)

Prerequisite:

  • 1. Basics physics
  • 2. Quantum mechanics
  • 3. Basic chemistry
  • 4. Basic material science

Course Objective:

The course is intended to cover, basics concepts of crystallography, quantum mechanics, matter and energy relations, de-Brogile hypothesis, wave function analogies, Schrodinger equation, quantum dot, wires and wells etc.

Course Outcomes:

  • To know the importance of crystal structures for property evaluation
  • Students without quantum mechanics back ground will be able to understand the concept of quantum mechanics and nanotechnology,
  • To evaluate nanostructures in quantum mechanical approaches

UNIT - I

Review of simple harmonic motion, the stretched string equation of motion, standing waves & Fourier waves, the Fourier Transform Problems.

UNIT - II

Electromagnetic waves, Electromagnetic radiation, Particle mechanics, Theory of Relativity.

UNIT - III

Introduction-Why quantum mechanics - matter waves-length scales - De-Broglie hypothesis – wave particle duality- Heisenberg’s uncertainty principle-Schrodinger wave equation – General postulates of Quantum mechanics- particle in one dimensional box, Bohr’s correspondence principle.

UNIT - IV

Quantum mechanics of electronics: Electron as particle and electron as wave-Time independent Schrodinger equation and boundary condition on the wave function-Analogies between quantum mechanics and classical electromagnetic theory-Probabilistic current density-multiple particle systems.

UNIT - V

Free and confined electrons: Free electrons-the free electron gas theory of metals-electrons confined to abounded region of space and quantum numbers-electrons confined to atom-the hydrogen atom and the periodic table-quantum dots-wires-wells.

REFERENCE BOOKS:

  • 1. Solid state Physics by Kittle {Unit-I,II}
  • 2. P.M. Mathews and K. Venkatesan, “A textbook of Quantum Mechanics”, Tata McGraw Hill Publishing Company Ltd {Unit-III}
  • 3. An introduction to solid states electronic devices by Ajay kumar saxena Macmillan India Ltd {Unit-I, II}
  • 4. Quantum Mechanics – Schiff {Unit-III}
  • 5. Quantum Mechanics by B.k. Agarwal and Hariprakash, PHI {Unit-III}
  • 6. Fundamentals of nanoelectronics by George W.Hanson Pearson education {Unit-IV, V}
  • 7. Introduction to Nanotechnology by Charles P. Poole Jr & Frank J. Owens; Wiley India Pvt. Ltd
  • 8. The Feynman lectures on Physics; Vol I to III
  • 9. Quantum mechanics by Brandsen & Joachem
  • 10. J.J. Sakurari, “Modern Quantum Mechanics McGraw Hill, Addison Wesley Longman Inc., USA, 1999
  • 11. Nano Technology and Nano Electronics – Materials, devices and measurement Techniques by WR Fahrner – Springer
  • 12. Nano Technology – science, innovation and opportunity by Lynn E Foster; Prentice Hall - Pearson education.
  • 13. Hand book of Nano structured materials; Vol I to V Bio Ethics Readings and cases by Branch A.Brody & H.Tristram Engelhardt. Jr; Pearson Education
  • 14. Quantum mechanics: - Pawling & Wilson
  • 15. Quantum physics by A. Ghatak
  • 16. Introduction to quantum chemistry by A.K.Chanda
  • 17. Introduction to Quantum Mechanics – Gupta, Kumar, Sharma
  • 18. Quantum Mechanics – Aruthas

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