**[Cr:4, Lc:3, Tt:1, Lb:0]**

- Review of quantum mechanical notation. Basic problems in QM like transmission via a potential well, density of states Fermi golden rule, Landau quantization of electrons in magnetic field and Aharonov-Bohm effects.
- Review of semiconductor concepts . Overview of fabrication techniques of mesoscopic devices
- 2-D electrons confined to semiconductor hetero-structures. Quantized Hall phenomena and associated Shubnikov-deHass Oscillations. Phenomenological theory along Laughlin's gauge invariance arguments , Widom-Sreda thermodynamic formulations, followed by Thouless's winding number approach. Scaling theory of localization in 1-D and 2-D. 2-D systems showing metallic phases due to e-e interactions. Wigner crystals in extremely dilute 2-D electron systems in high magnetic fields. Other 2-D electron systems like graphene, electrons on helium surfaces and organic transistors.
- Landauer transmission formalism. Application of formalism to explain quantized conductance of devices like quantum point contacts. Weak localization nd Aharonov-Bohm effect in gold rings and other systems. Violation of Kirchhoff's circuit laws for quantum conductors.
- Overview of superconductors. London equations . Classic flux quantization experiments of Doll & Nabauer , Deaver & Fairbank. Josephson effect and SQUIDS. Landau Zener tunneling and Macroscopic quantum effects in SQUID based devices.
- Nano-mechanical systems. Applications to mass sensing filters etc. Dissipation phenomena in nano-mechanical resonators and possibility of achieving macroscopic quantum states in mechanical systems.
- Spintronics. Johnson-Silsbee experiments , Datta Das Transistors , Giant magneto-resistance and applications .

- Y. Murayama, Mesoscopic Systems, Wiley VCH (2001).
- S. Datta, Electronic Transport in Mesoscopic Systems, Cambridge University Press (1997).
- A. Cleland, Foundations of Nanomechanics, Springer (2001).
- M. Ziese and M. J. Thornton, Spin Electronics (Lecture Notes in Physics), Springer (2001).