Unit 1

Layered Nanostructures
Learning Objectives
Learn about the motion of a free electron in vacuum and potential barriers.
Learn and understand the propagation of an electron above the potential well.
Learn and analyze the propagation of an electron in the region of a potential barrier.

The motion of a free electron in vacuum, an electron in a potential well with infinite barriers, an electron in a potential well with finite barriers, Propagation of an electron above the potential well, Tunneling: propagation of an electron in the region of a potential barrier.

Unit 2

Quantized Motion and Quantum States
Learning Objectives
Learn and analyze different potential barriers and quantum harmonic oscillators.
Understand the stationary perturbation theory for non-degenerate and degenerate systems.
Analyze the non-stationary perturbation theory and quasi-classical approximation.

Rectangular Potential Well, Spherically symmetric Potential Well, Quantum Harmonic Oscillators, Stationary perturbation theory for a system with non-degenerate states, Stationary perturbation theory for a system with degenerate states, Non-stationary perturbation theory, The Quasi-Classical Approximation.

Unit 3

Quantum States in Atoms and Molecules
Learning Objectives
Learn and understand basic features of hydrogen atom.
Learn and understand many electron systems.
Analyze the wave function of a system of identical particles.

The Hydrogen Atom, The emission spectrum of the hydrogen atom, The spin of an electron, Many-electron atoms, The wave function of a system of identical particles, The Hydrogen Molecule.

Unit 4

Quantization in Nanostructures
Learning Objectives
Learn and analyze dimensional quantization and low dimensional structures.
Learn and understand number and densities of states for nanostructure.
Analyze a three-dimensional super lattice of quantum dots.

The number and density of quantum states, Dimensional quantization and low-dimensional structures, Quantum states of an electron in low-dimensional structures, The number of states and density of states for nanostructures, Double-quantum-dot structures, A one-dimensional super lattice of quantum dots, A three-dimensional super lattice of quantum dots.

Unit 5

Nanostructures and their applications
Learning Objectives
Learn method of fabrication of nanostructures.
Learn and understand tools for characterization with nanoscale resolution.
Understand and analyze the basic features of nanodevices and systems.

Methods of fabrication of nanostructures, Tools for characterization with nanoscale resolution, selected examples of nanodevices and systems.

Prerequisites
Knowledge of basic quantum mechanics.

Course Objectives
The objective of the course is to learn about nanostructures and apply quantum mechanics to understand the phenomena related to nanostructures.

Course Outcomes: After completion this course student able to
CO1: Learn the key ideas and concepts related to layered nanostructures.
CO2: Learn and apply quantum mechanics to quantized motion and quantum states.
CO3: Learn the basic features of quantum states in atoms and molecules.
CO4: Analyze and solve problems related to quantization in nanostructures.
CO5: Learn about basic features of nanostructures and their applications.

Skills: Improvement of student’s problem solving capability related to nanostructure physics through assignments and quizzes.

CO-PO Mapping

Text Book

1. V. V. Mitin, D. I. Sementsov and N. Z. Vagidov, Quantum Mechanics for Nanostructures, Cambridge University Press (2010).

Reference Book

1. V. V. Mintin, V. A. Kochelap, M. A. Storscio, Quantum Heterostructures: Microelectronics and Optoelectronics, Cambridge University Press (2000).

Justification for CO-PO Mapping