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Course Detail

Course Name Theory of Nanostructures
Course Code 22PHY534
Semester 8
Credits 3

Syllabus

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.

Objectives & Outcomes

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

PO1 PO2 PO3 PO4 PO5 PSO1 PSO2 PSO3
CO1 3 3 3 2
CO2 3 3 3 3
CO3 3 3 3 2
CO4 3 3 3 3
CO5 3 3 3 3

Text Books & References

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).

Evaluation pattern

Assessment Internal External Semester
Periodical 1 (P1) 15
Periodical 2 (P2) 15
*Continuous Assessment (CA) 20
End Semester 50

Justification for CO-PO Mapping

Mapping Justification Affinity level
CO1-PO1 CO1 is related to concepts of layered nanostructures. This improves student’s knowledge in layered nanostructures and hence the affinity level is 3. 3
CO1-PO2 Since PO2 is related to problem analysis and CO1 is about concepts of layered nanostructures which is important to solve the problems related to layered nanostructures. Hence the affinity level between CO1 and PO2 is mentioned as 3. 3
CO2-PO1 CO2 is related to application of quantum mechanics to quantized motion and quantum states. Hence the affinity level is 3. 3
CO2-PO2 As CO2 is related to quantized motion and quantum states. Since PO2 is related to developing analytical skills, the affinity level between them is 3. 3
CO3-PO1 Since PO1 is related to strong fundamentals of physics and math which is essential to solve and analyze the problems related to basic features of quantum states in atoms and molecules. Hence CO3 has maximum affinity 3 when mapped with PO1. 3
CO3-PO2 CO3 is related to the basic features of quantum states in atoms and molecules. As PO2 is related to improve critical thinking and analytical skills. So, CO3 has maximum affinity to PO2 and hence given an affinity level of 3. 3
CO4-PO1 CO4 is related to analyze and solve problems related to quantization in nanostructures. As PO1 is related to improving knowledge of physics fundamentals, CO4 has maximum affinity of 3 with PO1. 3
CO4-PO2 CO4 is for solving problems related to nanostructures. Since PO2 is related to the development of analytical skills of students and maximum affinity level of 3 is given for CO4-PO2 mapping. 3
CO5-PO1 CO5 is related to basic features of nanostructures and their applications. Since PO1 is related to improving student’s knowledge in physics and math. Hence maximum affinity level of 3 is given for CO5-PO1 mapping. 3
CO5-PO2 CO5 related to basic features of nanostructures and their applications. As PO2 is related to improving experimental skills, CO5 has maximum affinity with PO5 and hence given an affinity level of 3. 3
CO1-PSO1 PSO1 is related to fundamental problems and their solutions in scientific way and CO1 is to learn about layered nanostructure which is very essential to solve problems in scientific way. Hence the affinity level is 3. 3
CO1-PSO2 CO1 deals with concepts of layered nanostructures. Hence CO1 partially map with PSO2 and an affinity level of 2 is assigned. 2
CO2-PSO1 CO2 is related to application of quantum mechanics to quantized motion and quantum states which map completely with PSO1. So the affinity level is 3. 3
CO2-PSO2 Since PSO2 is related to improve the analytical skills which maps completely with CO2. Hence the affinity level between CO2 and PSO2 is 3. 3
CO3-PSO1 Since CO3 is related to basic features of quantum states in atoms and molecules. which is completely mapped with PSO1. Hence the affinity level 3. 3
CO3-PSO2 The affinity level between CO3 and PSO2 is 2 since CO3 deals with basic features of quantum states in atoms and molecules which is partially mapped. 2
CO4-PSO1 CO4 is related to learn and solve problems for nanostructures. Hence CO4-PSO1 mapping has the affinity level 3. 3
CO4-PSO2 The affinity level between CO4 and PSO2 is 3 since the CO4 deals with to solve problems related to quantization in nanostructures. 3
CO5-PSO1 CO5 is to learn about basic features of nanostructures and their applications. Hence CO5-PSO1 mapping has the affinity 3. PSO1 is related to look fundamental problems and scientific solutions. 3
CO5-PSO2 The affinity level between CO5 and PSO2 is 3 since CO5 deals basic features of nanostructures and their applications. 3

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