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  • 2:01 PM, Saturday, 08 Aug 2020


Course Postgraduate
Semester Sem. I
Subject Code PH618
Subject Title Applied Quantum Physics

Syllabus

1.Fundamental concepts: Kets, bras, and operators. Base kets and matrix representations. Measurements, observables, and the uncertainty relations. Change of basis. Position eigenkets and position measurements. Wave functions in position and momentum space. Momentum operator in the position basis. Gaussian wave packets.

2.Quantum dynamics: Time evolution and the Schrӧdinger equation. The Schrӧdinger versus the Heisenberg picture. Schrӧdinger wave equation. Particle-in-a-box problem, Simple harmonic oscillator.

3.Theory of angular momentum: Rotations and angular momentum commutation relations. Density operators and pure versus mixed ensembles. Eigenvalues and eigenstates of angular momentum. Orbital angular momentum.

4.Approximation methods: Time-independent perturbation theory, Hydrogen like atoms: Fine structure and the Zeeman effect. Time-dependent perturbation theory.

5.Applications: particle-in-a-box problem in nanotechnology: quantum dots and nanostructures, semiconductor technology, optical devices. Tunnel effect in Technology: Scanning tunneling microscope, tunnel diode, tunneling in ultra-thin dielectric layers: Fowler-Nordheim tunneling, Poole-Frenkel Tunneling. Working of flash memory devices, quantum limits of Moore’s law.

Text Books

Same as Reference

References

1.A Textbook of Quantum Mechanics, Mathews and Venkatesan, Tata- McGraw Hill Publications.

2.Quantum mechanics, Eugen Merzbacher, Wiley Publishing group.

3.Modern quantum mechanics, J. J. Sakurai, Addison-Wesley Publishing.

4.Quantum Mechanics, Leonard I. Schiff, McGraw-Hill Publishing.

5.Quantum Mechanics with Applications to Nanotechnology and information Science, Band and Avishai, Elsevier Publications.